논문KCI 등재
Units, nilpotent elements, and unit-IFP rings
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We observe the structure of a kind of unit-IFP ring that is constructed by Antoine, in relation with units and nilpotent elements. This article concerns the same argument in a more general situation, and study the structure of one-sided zero divisors in such rings. We also provide another kind of unit-IFP ring.
Abstract
We observe the structure of a kind of unit-IFP ring that is constructed by Antoine, in relation with units and nilpotent elements. This article concerns the same argument in a more general situation, and study the structure of one-sided zero divisors in such rings. We also provide another kind of unit-IFP ring.
참고문헌 (7)
- R. Antoine, "Nilpotent elements and Armendariz rings", J. Algebra, 319(8), pp.3128~3140 (2008)[DOI]
- H. E. Bell, "Near-rings in which each element is a power of itself", Bull. Austral. Math. Soc., 2, pp.363~368 (1970)[DOI]
- G. M. Bergman, "Modules over coproducts of rings", Trans. Amer. Math. Soc., 200, pp.1~32 (1974)[DOI]
- C. Huh, "Armendariz rings and semicommutative rings", Comm. Algebra, 30(2), pp.751~761 (2002)[DOI]
- H. K. Kim, "Insertion of units at zero products", J. Algebra Appl., 16, pp.1850043~ (2018)
- "J. Algebra Appl.", 2018, 1892002~, 10.1142[DOI]
- Y. Lee, "Structure of unit-IFP rings"
관련 논문AI추천
Structure of unit-IFP rings이양대한수학회 · 대한수학회지2018 · 제55권 제5호Insertion-of-Factors-Property with factors nilpotents이양, 성효진, 정의윤, 한준철강원경기수학회 · 한국수학논문집2014 · 제22권 제4호Rings in which every element is a sum of a nilpotent and three tripotentsGuoli Xia, Jian Cui대한수학회 · 대한수학회보2021 · 제58권 제1호On semi-IFP rings성효진, 윤상조강원경기수학회 · 한국수학논문집2015 · 제23권 제1호STRUCTURES CONCERNING GROUP OF UNITS이양, 정영우대한수학회 · 대한수학회지2017 · 제54권 제1호Rings which satisfy the Property of Inserting Regular Elements at Zero Products이양, 곽태근, 김홍기, 서연숙경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호
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