Strongly $CM$-semicommutative rings

Authors: LIANG ZHAO, JIAQUN WEI

Abstract: We study the strongly semicommutative properties relative to a monoid crossed product. The concept of strongly $CM$-semicommutative rings is introduced and investigated. Many results related to semicommutative properties over polynomial rings, skew polynomial rings, monoid rings, and skew monoid rings are extended and unified.

Keywords: Monoid crossed products, strongly $CM$-semicommutative rings, strongly $M$-semicommutative rings

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