JP Journal of Algebra, Number Theory and Applications
Volume 47, Issue 2, Pages 121 - 134
(August 2020) http://dx.doi.org/10.17654/NT047020121 |
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COMMUTATIVITY OF π-STRONGLY PERIODIC RINGS
Saeed Nasirifar and Shaban Ali Safari Sabet
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Abstract: 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 π-strongly periodic if there exist positive integers m, n of opposite parity for each such that We prove some results about the commutativity of π-S-P rings. |
Keywords and phrases: π-strongly periodic rings, Jacobson radical, commutator ideal, commutativity, nil commutator ideal, periodic rings, Chacron criterion.
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