BI-AMALGAMATION OF RINGS DEFINED BY CERTAIN ANNIHILATOR CONDITIONS

被引：1
|
作者：
El Khalfi, Abdelhaq [1 ]
Mahdou, Najib [1 ]
Hassani, Aziza Rahmouni [1 ]
机构：
[1] Univ SM Ben Abdellah, Fac Sci & Technol Fez, Dept Math, Lab Modeling & Math Struct, Fes, Morocco
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 03期
关键词：
amalgamation of ring along an ideal; (A)-ring; bi-amalgamation of rings; strong (A)-ring;
D O I：
10.1216/rmj.2020.50.947
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f : A -> B and g : A -> C be two ring homomorphisms and let J (resp. J') be an ideal of B (resp. C) such that f(-1) (J) = g(-1) (J'). We investigate the transfer of the notions of (A)-rings and strong (A)-rings to the bi-amalgamation of A with (B, C) along (J, J') with respect to (f, g), denoted by A (sic)(f,g) (J, J'), introduced and studied by Kabbaj, Louartiti and Tamekkante in 2013. Our results generate new original examples of rings satisfying these properties.
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页码：947 / 956
页数：10
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