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Strongly Semicommutative Rings Relative to a Monoid

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Toosi University of Technology, Tehran, Iran

    M. J. Nikmehr

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  1. M. J. Nikmehr
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 11, pp. 1528–1539, November, 2014.

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Nikmehr, M.J. Strongly Semicommutative Rings Relative to a Monoid. Ukr Math J 66, 1715–1730 (2015). https://doi.org/10.1007/s11253-015-1046-8

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  • DOI: https://doi.org/10.1007/s11253-015-1046-8

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