Strongly Semicommutative Rings Relative to a Monoid

For a monoid M, we introduce strongly M-semicommutative rings obtained as a generalization of strongly semicommutative rings and investigate their properties. We show that if G is a finitely generated Abelian group, then G is torsion free if and only if there exists a ring R with |R| ≥ 2 such that R...

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Bibliographic Details
Date:2014
Main Authors: Nikmehr, M. J., Нікмер, М. Дж.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2243
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal