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Insertion property of nonzero powers at zero products

김동화
대한수학회 (The Korean Mathematical Society)|2018.04|대한수학회논문집 (Communications of the KMS)|제33권 제2호|pp. 371-378

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참고문헌

키워드

IFP ringpolynomial ringArmendariz ringstrongly IPFP ringnonzero powerIPFP ring
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초록

This article concerns a ring property which is seated between IFP and IPFP rings. We study the insertion property of nonzero powers at zero products, introducing the concept of strongly IPFP ring. The structure of strongly IPFP rings is investigated in relation with nearly seated ring properties and ring extensions.

Abstract

This article concerns a ring property which is seated between IFP and IPFP rings. We study the insertion property of nonzero powers at zero products, introducing the concept of strongly IPFP ring. The structure of strongly IPFP rings is investigated in relation with nearly seated ring properties and ring extensions.

참고문헌 (13)

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  9. C. Huh, "Armendariz rings and semicommutative ring", Comm. Algebra, 30(2), pp.751~761 (2002)[DOI]
  10. N. K. Kim, "Armendariz rings and reduced rings", J. Algebra, 223(2), pp.477~488 (2000)[DOI]
  11. L. Motais de Narbonne, "Anneaux semi-commutatifs et unis riels anneaux dont les id aux principaux sont idempotents", Proceedings of the 106th National Congress of Learned Societies (Perpignan, 1981), pp.71~73 (1982), Bib. Nat.
  12. M. B. Rege, "Armendariz rings", Proc. Japan Acad. Ser. A Math. Sci., 73(1), pp.14~17 (1997)
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관련 논문AI추천

Rings which satisfy the Property of Inserting Regular Elements at Zero Products이양, 곽태근, 김홍기, 서연숙경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호Insertion-of-Factors-Property with factors nilpotents이양, 성효진, 정의윤, 한준철강원경기수학회 · 한국수학논문집2014 · 제22권 제4호Insertion-of-Ideal-Factors-Property이양, 김정수, 김주희, 류성주, 백상하, 서대재, 이동건, 이성엽, 한정민영남수학회 · East Asian Mathematical Journal2014 · 제30권 제5호A remark on IFP rings이양, 김시환, 김정수, 김정현, 류성주, 박재형, 송민경, 엄태강, 이민정, 이창혁, 임효진, 정민준, 황수민강원경기수학회 · 한국수학논문집2013 · 제21권 제3호INSERTION-OF-FACTORS-PROPERTY ON NILPOTENT ELEMENTS이양, 백진언, 엄태현, 전영철, 진우영, 최지웅대한수학회 · 대한수학회보2012 · 제49권 제2호INSERTION-OF-FACTORS-PROPERTY ON SKEW POLYNOMIAL RINGS이양, 곽태근, Begum Hicyilmaz, Fatma Kaynarca, Muhittin Baser대한수학회 · 대한수학회지2015 · 제52권 제6호

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