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INSERTION-OF-FACTORS-PROPERTY ON NILPOTENT ELEMENTS

이양|최지웅|전영철|엄태현|진우영|백진언
대한수학회 (The Korean Mathematical Society)|2012.03|대한수학회보 (Bulletin of the KMS)|제49권 제2호|pp. 381-394

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참고문헌

키워드

IFP ringNI ringpolynomial ringnilpotent elementnil-IFP ring
주제분류수학

초록

We generalize the insertion-of-factors-property by setting nilpotent products of elements. In the process we introduce the concept of a nil-IFP ring that is also a generalization of an NI ring. It is shown that if Kothe's conjecture holds, then every nil-IFP ring is NI. The class of minimal noncommutative nil-IFP rings is completely determined, up to

Abstract

We generalize the insertion-of-factors-property by setting nilpotent products of elements. In the process we introduce the concept of a nil-IFP ring that is also a generalization of an NI ring. It is shown that if Kothe's conjecture holds, then every nil-IFP ring is NI. The class of minimal noncommutative nil-IFP rings is completely determined, up to

참고문헌 (28)

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관련 논문AI추천

Insertion-of-Factors-Property with factors nilpotents이양, 성효진, 정의윤, 한준철강원경기수학회 · 한국수학논문집2014 · 제22권 제4호INSERTION-OF-FACTORS-PROPERTY WITH FACTORS MAXIMAL IDEALS이양, 류성주, 성효진, 윤상조, 정다운, Hai Lan Jin대한수학회 · 대한수학회지2015 · 제52권 제3호Rings which satisfy the Property of Inserting Regular Elements at Zero Products이양, 곽태근, 김홍기, 서연숙경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호Jacobson Radical and Nilpotent Elements허찬, 남순혜, 천정수영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호On NI and quasi-NI rings이양, 김동화, 윤상조, 이성익강원경기수학회 · 한국수학논문집2016 · 제24권 제3호Rings in which every element is a sum of a nilpotent and three tripotentsGuoli Xia, Jian Cui대한수학회 · 대한수학회보2021 · 제58권 제1호

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