Commutative periodic group rings

Author:

Danchev P.

Abstract

We find a satisfactory criterion when a commutative group ring $R(G)$ is periodic only in terms of $R$, $G$ and their sections, provided that $R$ is local.

Publisher

Ivan Franko National University of Lviv

Subject

General Mathematics

Reference11 articles.

1. D.D. Anderson, P.V. Danchev, A note on a theorem of Jacobson related to periodic rings, submitted.

2. D.D. Anderson, P.V. Danchev, Bounded periodic rings, submitted.

3. A.Y.M. Chin, H.V. Chen, On strongly π-regular group rings, Southeast Asian Bull. Math., 26 (2002), 387–390.

4. J. Cui, P. Danchev, Some new characterizations of periodic rings, J. Algebra & Appl., 19 (2020).

5. P.V. Danchev, Criteria for unit groups in commutative group rings, Studia Univ. Babeş Bolyai, Math., 51 (2006), No2, 43–61.

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