TY - JOUR ID - 1018 TI - On pm$^+$ and finite character bi-amalgamation JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Tamekkante, M. AU - Bouba, E.M. AD - Department of Mathematics‎, ‎Faculty‎ ‎of Science‎, ‎Box 11201 Zitoune‎, ‎University Moulay Ismail Meknes‎, ‎Morocco. Y1 - 2017 PY - 2017 VL - 43 IS - 5 SP - 1237 EP - 1244 KW - Bi-amalgamated algebras‎ KW - ‎$pm^{+}$ rings‎ KW - ‎$pm$ rings‎ KW - ‎rings with finite character‎ DO - N2 - ‎Let $f:A\rightarrow B$ and $g:A \rightarrow C$ be two ring homomorphisms and let $J$ and $J^{'}$ be two ideals of $B$ and $C$‎, ‎respectively‎, ‎such that $f^{-1}(J)=g^{-1}(J^{'})$‎. ‎The bi-amalgamation of $A$ with $(B,C)$ along $(J,J^{'})$ with respect of $(f,g)$ is the subring of $B\times C$ given by‎ ‎$A\bowtie^{f,g}(J,J^{'})=\{(f(a)+j,g(a)+j^{'})‎/ ‎a \in A‎, ‎(j,j^{'}) \in J\times J^{'}\}.$‎ ‎In this paper‎, ‎we study the transference of $pm^{+}$‎, ‎$pm$ and finite character ring-properties in the bi-amalgamation. UR - http://bims.iranjournals.ir/article_1018.html L1 - http://bims.iranjournals.ir/article_1018_d12be38a73db01fc326f798b6d1826c2.pdf ER -