ORIGINAL_ARTICLE
Beyond First Order Logic: From number of structures to structure of
numbers: Part I
We study the history and recent developments in nonelementarymodel theory focusing on the framework of abstractelementary classes. We discuss the role of syntax and semanticsand the motivation to generalize first order model theory to nonelementaryframeworks and illuminate the study with concrete examplesof classes of models. This first part introduces the main conceps and philosophies anddiscusses two research questions, namely categoricity transfer andthe stability classification.
http://bims.iranjournals.ir/article_320_2a3d9a459a6dc5deea92274b7c87226a.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
1
26
Mathematical logic
model theory
J.
Baldwin
jbaldwin@uic.edu
true
1
University of Illinois at Chicago
University of Illinois at Chicago
University of Illinois at Chicago
LEAD_AUTHOR
T.
Hyttinen
tapani.hyttinen@helsinki.fi
true
2
Department of Mathematics and Statistics
University of Helsinki
Department of Mathematics and Statistics
University of Helsinki
Department of Mathematics and Statistics
University of Helsinki
AUTHOR
M.
Kesala
meeri.kesala@helsinki.fi
true
3
Department of Mathematics and Statistics
University of Helsinki
Department of Mathematics and Statistics
University of Helsinki
Department of Mathematics and Statistics
University of Helsinki
AUTHOR
ORIGINAL_ARTICLE
Beyond first order logic: From number of structures to structure of numbers: Part II
We study the history and recent developments in nonelementarymodel theory focusing on the framework of abstractelementary classes. We discuss the role of syntax and semanticsand the motivation to generalize first order model theory to nonelementaryframeworks and illuminate the study with concrete examplesof classes of models. This second part continues to study the question of catecoricitytransfer and counting the number of structures of certain cardinality.We discuss more thoroughly the role of countable models,search for a non-elementary counterpart for the concept of completenessand present two examples: one example answers a questionasked by David Kueker and the other investigates models ofPeano Arithmetic and the relation of an elementary end-extensionin terms of an abstract elementary class.
http://bims.iranjournals.ir/article_409_972adc8069030d13b7a9ea9a157ed273.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
27
48
Mathematical logic
model theory
J.
Baldwin
jbaldwin@uic.edu
true
1
University of Illinois
at Chicago, USA
University of Illinois
at Chicago, USA
University of Illinois
at Chicago, USA
LEAD_AUTHOR
T.
Hyttinen
tapani.hyttinen@helsinki.fi
true
2
University of Helsinki, Finland
University of Helsinki, Finland
University of Helsinki, Finland
AUTHOR
M.
Kesala
meeri.kesala@helsinki.fi
true
3
University of Helsinki, Finland
University of Helsinki, Finland
University of Helsinki, Finland
AUTHOR
ORIGINAL_ARTICLE
Generalized Rings of Measurable and Continuous Functions
This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.
http://bims.iranjournals.ir/article_233_c2ebf0d719858815bd653683ce485ae3.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
49
64
rings of continuous functions
rings of measurable
functions
regular rings
$aleph_0$-self-injective rings
A.
Amini
aamini@shirazu.ac.ir
true
1
Shiraz University
Shiraz University
Shiraz University
AUTHOR
B.
Amini
bamini@shirazu.ac.ir
true
2
Shiraz University
Shiraz University
Shiraz University
AUTHOR
E.
Momtahan
momtahan_e@hotmail.com
true
3
Yasouj University
Yasouj University
Yasouj University
LEAD_AUTHOR
M. H.
Shirdareh Haghigi
shirdareh@susc.ac.ir
true
4
Shiraz University
Shiraz University
Shiraz University
AUTHOR
ORIGINAL_ARTICLE
Grouplikes
In this paper we introduce and study an algebraic structure, namely Grouplike. A grouplike is something between semigroup and group and its axioms are generalizations of the four group axioms. Every grouplike is a semigroup containing the minimum ideal that is also a maximal subgroup (but the converse is not valid). The first idea of grouplikes comes from b-parts and $b$-addition of real numbers introduced by the author. Now, the researches have enabled me to introduce Grouplikes and prove some of their main theorems and construct a vast class of them, here. We prove a fundamental structure theorem for a big class of grouplikes, namely Class United Grouplikes. Moreover, we obtain some other results for binary systems, semigroups and groups in general and exhibit several their important subsets with related diagrams. Finally. we show some of future directions for the researches in grouplikes and semigroup theory.
http://bims.iranjournals.ir/article_305_daa595cb8449dd1f6b4a0cb354aefa32.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
65
85
Grouplike
class united grouplike
identity-like
grouplike homomorphism
real b-grouplike
M. H.
Hooshmand
hadi.hooshmand@gmail.com
true
1
Islamic Azad University - Shiraz Branch
Islamic Azad University - Shiraz Branch
Islamic Azad University - Shiraz Branch
LEAD_AUTHOR
ORIGINAL_ARTICLE
Brandt extensions and primitive topologically periodic inverse topological semigroups
In this paper we find sufficient conditions on primitive inverse topological semigroup S under which: the inversion inv : (H(S)) (H(S)) is continuous; we show that every topologically periodic countable compact primitive inverse topological semigroups with closed H-classes is topologically isomorphic to an orthogonal sum P i2= Bi (Gi) of topological Brandt extensions Bi (Gi) of countably compact topological groups Gi in the class of topological inverse semigroups for some finite cardinals.
http://bims.iranjournals.ir/article_335_d5c026c53354c9bcbfe4d7fe7e5c649e.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
87
95
inverse topological semigroup
Topological inverse semigroup
0-
simple group
completely 0-simple semigroup
J.
Jamalzadeh
jamalzadeh1980@yahoo.com
true
1
I am phd student in sistan and bluchestan university
I am phd student in sistan and bluchestan university
I am phd student in sistan and bluchestan university
LEAD_AUTHOR
Gh.
Rezaei
grezaei@hamoon.usb.ac.ir
true
2
University of Sistan and Bluchestan, Iran
University of Sistan and Bluchestan, Iran
University of Sistan and Bluchestan, Iran
AUTHOR
ORIGINAL_ARTICLE
On the relations between the point spectrum of A and invertibility of I + f(A)B
Let A be a bounded linear operator on a Banach space X. We investigate the conditions of existing rank-one operator B such that I+f(A)B is invertible for every analytic function f on sigma(A). Also we compare the invariant subspaces of f(A)B and B. This work is motivated by an operator method on the Banach space ell^2 for solving some PDEs which is extended to general operator space under some conditions in this paper.
http://bims.iranjournals.ir/article_239_aa94bb32deb5aba560c323c06fd34102.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
97
106
point spectrum
rank-one operator
invariant subspaces
H.
Larki
h.larki@gmail.com
true
1
Islamic Azad University, Parand Branch
Islamic Azad University, Parand Branch
Islamic Azad University, Parand Branch
LEAD_AUTHOR
A.
Riazi
riazi@aut.ac.ir
true
2
Amirkabir University of Technology
Amirkabir University of Technology
Amirkabir University of Technology
AUTHOR
ORIGINAL_ARTICLE
On a subclass of multivalent analytic functions associated with an extended fractional differintegral operator
Making use of an extended fractional differintegral operator ( introduced recently by Patel and Mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.
http://bims.iranjournals.ir/article_222_b55977251c75b2af4170f508df58c24c.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
107
124
analytic function
Multivalent function
fractional differintegral operator
convex univalent function
Subordination
J.-L.
Liu
jlliu@yzu.edu.cn
true
1
Department of Mathematics, Yangzhou University
Department of Mathematics, Yangzhou University
Department of Mathematics, Yangzhou University
LEAD_AUTHOR
ORIGINAL_ARTICLE
The two parameter quantum groups
$U_{r,s}(\mathfrak{g})$ associated to generalized Kac-Moody algebra
and their equitable presentation
We construct a family of two parameter quantum grou-\\ps
$U_{r,s}(\mathfrak{g})$ associated with a generalized Kac-Moody
algebra corresponding to symmetrizable admissible Borcherds Cartan
matrix. We also construct the $\textbf{A}$-form $U_{\textbf{A}}$ and
the classical limit of $U_{r,s}(\mathfrak{g})$. Furthermore, we
display the equitable presentation for a subalgebra
$U_{r,s}^{b-}(\mathfrak{g} )$ of $U_{r,s}(\mathfrak{g})$ and show
that this presentation has the attractive feature that all of its
generators act semisimply on finite dimensional irreducible
$U_{r,s}(\mathfrak{g})$-modules associated with the Kac-Moody algebra.
http://bims.iranjournals.ir/article_410_9c4af9233d4d3e488f54d9d44c7ea5bd.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
125
149
Q.
Sun
qxsun@126.com
true
1
Zhejiang University of Science and Technology, China
Zhejiang University of Science and Technology, China
Zhejiang University of Science and Technology, China
AUTHOR
H.
Li
honglli@126.com
true
2
Zhejiang International Studies University, China
Zhejiang International Studies University, China
Zhejiang International Studies University, China
LEAD_AUTHOR
ORIGINAL_ARTICLE
Essential norm of generalized composition operators from
weighted Dirichlet or Bloch type spaces to Q_K type spaces
In this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted Dirichlet spaces or Bloch type spaces to $Q_K$ type spaces.
http://bims.iranjournals.ir/article_342_7297405479aa435b72d575295ddb0380.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
151
164
Bloch type space
weighted Dirichlet space
$Q_K$ type space
generalized composition operator
essential norm
Sh.
Rezaei
sh.rezaei@srbiau.ac.ir
true
1
Islamic Azad University, Iran
Islamic Azad University, Iran
Islamic Azad University, Iran
LEAD_AUTHOR
H.
Mahyar
mahyar@khu.ac.ir
true
2
Tarbiat Moallem University, Iran
Tarbiat Moallem University, Iran
Tarbiat Moallem University, Iran
AUTHOR
ORIGINAL_ARTICLE
Existence and uniqueness of solutions for a periodic
boundary value problem
In this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in Banach spaces admitting the existence of a lower solution.
http://bims.iranjournals.ir/article_343_4afacfa2a4973fe9304d888b866fd3ae.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
165
173
fixed point
Periodic boundary value problem
Banach lattice
A.
Amini Harandi
aminih_a@yahoo.com
true
1
University of Shahrekord, Iran
University of Shahrekord, Iran
University of Shahrekord, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
The Quasi-morphic Property of Group
A group is called morphic if for each normal endomorphism α in end(G),there exists β such that ker(α)= Gβ and Gα= ker(β). In this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= Gβ and Gα = ker(γ). We call G quasi-morphic, if this happens for any normal endomorphism α in end(G). We get the following results: G is quasi-morphic if and only if, for any normal subgroup K and N such that G/K≌N, there exist normal subgroup T and H such that G/T≌K and G/N≌H. Further, we investigate the quasi-morphic property of finitely generated abelian group and get that a finitely generated abelian group is quasi-morphic if and only if it is finite.
http://bims.iranjournals.ir/article_339_e1fa74b090c7cf943c21d3c24a31908a.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
175
185
quasi-morphic group
finitely generated abelian group
normal endomorphism
Q.
Wang
wangqichuan1026@163.com.cn
true
1
Department of Mathematics and Systems Science, National University of Defense Technology, P.R.China 410073,Changsha, China.
Department of Mathematics and Systems Science, National University of Defense Technology, P.R.China 410073,Changsha, China.
Department of Mathematics and Systems Science, National University of Defense Technology, P.R.China 410073,Changsha, China.
LEAD_AUTHOR
K.
Long
lkkkkkkkk@hotmail.com.cn
true
2
Department of Mathematics and Systems Science, National University of Defense Technology ,P.R.China 410073, Changsha, China.
Department of Mathematics and Systems Science, National University of Defense Technology ,P.R.China 410073, Changsha, China.
Department of Mathematics and Systems Science, National University of Defense Technology ,P.R.China 410073, Changsha, China.
AUTHOR
L.
Feng
fenglg2002@sina.com.cn
true
3
Department of Mathematics and Systems Science, National University of Defense
Technology, P.R.China 410073, Changsha, China.
Department of Mathematics and Systems Science, National University of Defense
Technology, P.R.China 410073, Changsha, China.
Department of Mathematics and Systems Science, National University of Defense
Technology, P.R.China 410073, Changsha, China.
AUTHOR
ORIGINAL_ARTICLE
Maximal subsets of pairwise non-commuting elements of some finite p-groups
Let G be a group. A subset X of G is a set of pairwise noncommuting elements if xy ̸= yx for any two distinct elements x and y in X. If |X| ≥ |Y | for any other set of pairwise non-commuting elements Y in G, then X is said to be a maximal subset of pairwise non-commuting elements. In this paper we determine the cardinality of a maximal subset of pairwise non-commuting elements in any non-abelian p-groups with central quotient of order less than or equal to p3 for any prime number p. As an immediate consequence we give this cardinality for any non-abelian group of order p4.
http://bims.iranjournals.ir/article_341_ed95cc075963c4991eb4ff3398515d7c.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
187
192
pairwise non-commuting elements
Finite p-group
AC-group
A.
Azad
a.azad1347@gmail.com
true
1
Arak University, Iran
Arak University, Iran
Arak University, Iran
LEAD_AUTHOR
S.
Fouladi
s_fouladi@khu.ac.ir
true
2
Kharazmi University, Iran
Kharazmi University, Iran
Kharazmi University, Iran
AUTHOR
R.
Orfi
r-orfi@araku.ac.ir
true
3
Arak University, Iran
Arak University, Iran
Arak University, Iran
AUTHOR
ORIGINAL_ARTICLE
$varepsilon$-Simultaneous approximations
of downward sets
In this paper, we prove some results on characterization of $varepsilon$-simultaneous approximations of downward sets in vector lattice Banach spaces. Also, we give some results about simultaneous approximations of normal sets.
http://bims.iranjournals.ir/article_345_3d1cd47063aa5b80dbcd37a8684f8675.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
193
203
$varepsilon$-simultaneous approximation
Downward set
Lattice Banach space
H.
Alizadeh
halizadeh@marandiau.ac.ir
true
1
Islamic Aazad University, Marand, Iran
Islamic Aazad University, Marand, Iran
Islamic Aazad University, Marand, Iran
AUTHOR
Sh.
Rezapour
sh.rezapour@azaruniv.edu
true
2
Azarbaidjan University of Tarbiat Moallem, Iran
Azarbaidjan University of Tarbiat Moallem, Iran
Azarbaidjan University of Tarbiat Moallem, Iran
LEAD_AUTHOR
S.
Vaezpour
vaez@aut.ac.ir
true
3
Amirkabir University of Technology, Iran
Amirkabir University of Technology, Iran
Amirkabir University of Technology, Iran
AUTHOR
ORIGINAL_ARTICLE
Spacelike hypersurfaces in Riemannian or Lorentzian space forms satisfying L_k(x)=Ax+b
We study connected orientable spacelike hypersurfaces $x:M^{n}rightarrowM_q^{n+1}(c)$, isometrically immersed into the Riemannian or Lorentzian space form of curvature $c=-1,0,1$, and index $q=0,1$, satisfying the condition $~L_kx=Ax+b$,~ where $L_k$ is the $textit{linearized operator}$ of the $(k+1)$-th mean curvature $H_{k+1}$ of the hypersurface for a fixed integer $0leq k<n$, $A$ is a constant matrix and $b$ is a constant vector. We show that the only hypersurfaces satisfying that condition are hypersurfaces with zero $H_{k+1}$ and constant $H_k$ ( when $cneq 0$ ), open pieces of totally umbilic hypersurfaces and open pieces of the standard Riemannian product of two totally umbilic hypersurfaces.
http://bims.iranjournals.ir/article_338_564a4b1f52aa0e44c763a92cfc8189b5.pdf
2013-03-01T11:23:20
2019-03-26T11:23:20
205
223
Linearized operator $L_k$
Higher order mean
curvatures
Lorentzian space forms
F.
Pashaie
f_pashaie@yahoo.com
true
1
Tarbiat Modares University, Iran
Tarbiat Modares University, Iran
Tarbiat Modares University, Iran
AUTHOR
S.M.B.
Kashani
kashanism@yahoo.com
true
2
Tarbiat Modares University
Tarbiat Modares University
Tarbiat Modares University
LEAD_AUTHOR