On nil subsemigroups of rings with group identities

K. I. Beidar; Wen Fong Ke; Chia Hsin Liu

doi:10.1081/AGB-120006495

On nil subsemigroups of rings with group identities

K. I. Beidar^*
, Wen Fong Ke
, Chia Hsin Liu

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

3 引文斯高帕斯（Scopus）

摘要

Let R be a unital ring satisfying a group identity. We prove that if B is a nil subsemigroup of R, then it is locally nilpotent, and B^d is contained in the sum of all nilpotent ideals of R, where the positive integer d is determined by the group identity. Note that the above result for PI-rings is due to Amitsur.

原文	英語
頁（從 - 到）	347-352
頁數	6
期刊	Communications in Algebra
卷	30
發行號	1
DOIs	https://doi.org/10.1081/AGB-120006495
出版狀態	已發佈 - 2002 1月
對外發佈	是

ASJC Scopus subject areas

代數與數理論

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10.1081/AGB-120006495

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abstract = "Let R be a unital ring satisfying a group identity. We prove that if B is a nil subsemigroup of R, then it is locally nilpotent, and Bd is contained in the sum of all nilpotent ideals of R, where the positive integer d is determined by the group identity. Note that the above result for PI-rings is due to Amitsur.",

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AU - Ke, Wen Fong

AU - Liu, Chia Hsin

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N2 - Let R be a unital ring satisfying a group identity. We prove that if B is a nil subsemigroup of R, then it is locally nilpotent, and Bd is contained in the sum of all nilpotent ideals of R, where the positive integer d is determined by the group identity. Note that the above result for PI-rings is due to Amitsur.

AB - Let R be a unital ring satisfying a group identity. We prove that if B is a nil subsemigroup of R, then it is locally nilpotent, and Bd is contained in the sum of all nilpotent ideals of R, where the positive integer d is determined by the group identity. Note that the above result for PI-rings is due to Amitsur.

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UR - https://www.scopus.com/pages/publications/0036003478#tab=citedBy

U2 - 10.1081/AGB-120006495

DO - 10.1081/AGB-120006495

M3 - Article

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SN - 0092-7872

VL - 30

SP - 347

EP - 352

JO - Communications in Algebra

JF - Communications in Algebra

IS - 1

ER -

On nil subsemigroups of rings with group identities

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