COMMUTATIVITY OF π-STRONGLY PERIODIC RINGS

被引：0
|
作者：
Nasirifar, Saeed [1 ]
Sabet, Shaban Ali Safari [1 ]
机构：
[1] Islamic Azad Univ, Dept Pure Math, Cent Tehran Branch, Tehran, Iran
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2020年 / 47卷 / 02期
关键词：
pi-strongly periodic rings; Jacobson radical; commutator ideal; commutativity; nil commutator ideal; periodic rings; Chacron criterion;
D O I：
10.17654/NT047020121
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Assume that R is a ring, with the set N of nilpotent elements, Jacobson radical J, and center Z. In this paper, R is called pi-strongly periodic if there exist positive integers m, n of opposite parity for each x is an element of R\(J boolean OR N) such that x(n) - x(m) is an element of (J vertical bar I N). We prove some results about the commutativity of it pi-S-P rings.
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页码：121 / 134
页数：14
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