Strongly Semicommutative Rings Relative to a Monoid

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...