2017
Том 69
№ 6

All Issues

Strongly Semicommutative Rings Relative to a Monoid

Nikmehr M. J.


Abstract

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 is strongly G-semicommutative.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 11, pp 1715-1730.

Citation Example: Nikmehr M. J. Strongly Semicommutative Rings Relative to a Monoid // Ukr. Mat. Zh. - 2014. - 66, № 11. - pp. 1528–1539.