2018-11-18T03:58:12Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=56
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
Beyond First Order Logic: From number of structures to structure of
numbers: Part I
J.
Baldwin
T.
Hyttinen
M.
Kesala
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.
Mathematical logic
model theory
2013
03
01
1
26
http://bims.iranjournals.ir/article_320_2a3d9a459a6dc5deea92274b7c87226a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
Beyond first order logic: From number of structures to structure of numbers: Part II
J.
Baldwin
T.
Hyttinen
M.
Kesala
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.
Mathematical logic
model theory
2013
03
01
27
48
http://bims.iranjournals.ir/article_409_972adc8069030d13b7a9ea9a157ed273.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
Generalized Rings of Measurable and Continuous Functions
A.
Amini
B.
Amini
E.
Momtahan
M. H.
Shirdareh Haghigi
This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.
rings of continuous functions
rings of measurable
functions
regular rings
$aleph_0$-self-injective rings
2013
03
01
49
64
http://bims.iranjournals.ir/article_233_c2ebf0d719858815bd653683ce485ae3.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
Grouplikes
M. H.
Hooshmand
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.
Grouplike
class united grouplike
identity-like
grouplike homomorphism
real b-grouplike
2013
03
01
65
85
http://bims.iranjournals.ir/article_305_daa595cb8449dd1f6b4a0cb354aefa32.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
Brandt extensions and primitive topologically periodic inverse topological semigroups
J.
Jamalzadeh
Gh.
Rezaei
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.
inverse topological semigroup
Topological inverse semigroup
0-
simple group
completely 0-simple semigroup
2013
03
01
87
95
http://bims.iranjournals.ir/article_335_d5c026c53354c9bcbfe4d7fe7e5c649e.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
On the relations between the point spectrum of A and invertibility of I + f(A)B
H.
Larki
A.
Riazi
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.
point spectrum
rank-one operator
invariant subspaces
2013
03
01
97
106
http://bims.iranjournals.ir/article_239_aa94bb32deb5aba560c323c06fd34102.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
On a subclass of multivalent analytic functions associated with an extended fractional differintegral operator
J.-L.
Liu
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.
analytic function
Multivalent function
fractional differintegral operator
convex univalent function
Subordination
2013
03
01
107
124
http://bims.iranjournals.ir/article_222_b55977251c75b2af4170f508df58c24c.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
The two parameter quantum groups
$U_{r,s}(mathfrak{g})$ associated to generalized Kac-Moody algebra
and their equitable presentation
Q.
Sun
H.
Li
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.
2013
03
01
125
149
http://bims.iranjournals.ir/article_410_9c4af9233d4d3e488f54d9d44c7ea5bd.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
Essential norm of generalized composition operators from
weighted Dirichlet or Bloch type spaces to Q_K type spaces
Sh.
Rezaei
H.
Mahyar
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.
Bloch type space
weighted Dirichlet space
$Q_K$ type space
generalized composition operator
essential norm
2013
03
01
151
164
http://bims.iranjournals.ir/article_342_7297405479aa435b72d575295ddb0380.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
Existence and uniqueness of solutions for a periodic
boundary value problem
A.
Amini Harandi
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.
fixed point
Periodic boundary value problem
Banach lattice
2013
03
01
165
173
http://bims.iranjournals.ir/article_343_4afacfa2a4973fe9304d888b866fd3ae.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
The Quasi-morphic Property of Group
Q.
Wang
K.
Long
L.
Feng
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.
quasi-morphic group
finitely generated abelian group
normal endomorphism
2013
03
01
175
185
http://bims.iranjournals.ir/article_339_e1fa74b090c7cf943c21d3c24a31908a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
Maximal subsets of pairwise non-commuting elements of some finite p-groups
A.
Azad
S.
Fouladi
R.
Orfi
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.
pairwise non-commuting elements
Finite p-group
AC-group
2013
03
01
187
192
http://bims.iranjournals.ir/article_341_ed95cc075963c4991eb4ff3398515d7c.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
$varepsilon$-Simultaneous approximations
of downward sets
H.
Alizadeh
Sh.
Rezapour
S.
Vaezpour
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.
$varepsilon$-simultaneous approximation
Downward set
Lattice Banach space
2013
03
01
193
203
http://bims.iranjournals.ir/article_345_3d1cd47063aa5b80dbcd37a8684f8675.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
1
Spacelike hypersurfaces in Riemannian or Lorentzian space forms satisfying L_k(x)=Ax+b
F.
Pashaie
S.M.B.
Kashani
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
Linearized operator $L_k$
Higher order mean
curvatures
Lorentzian space forms
2013
03
01
205
223
http://bims.iranjournals.ir/article_338_564a4b1f52aa0e44c763a92cfc8189b5.pdf