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两类McCoy群环

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研究了两类群环的McCoy性,证明当R是McCoy环,G是无限循环群时,R[G]是McCoy环,以及G是一个有限群时,Z[G]是McCoy环.引入与零化理想有关的McCoy群环的概念,并研究McCoy群环的商环的McCoy性.
Two kinds of McCoy group rings
Two kinds of McCoy group rings are studied.We prove that R[G]is a McCoy ring,where R is a McCoy ring and G is an infinite cyclic group,and Z[G]is a McCoy ring if G is a finite group.We also introduce the conception of a McCoy group ring related to its annihilator ideal,and study the properties of quotient McCoy group ring.

McCoy ringgroup ringannihilator idealstrong annihilator ideal

安方瑜、程智

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安徽师范大学数学与统计学院,安徽芜湖 241002

McCoy环 群环 零化理想 强零化理想

2024

山东大学学报(理学版)
山东大学

山东大学学报(理学版)

CSTPCD北大核心
影响因子:0.437
ISSN:1671-9352
年,卷(期):2024.59(12)