논문KCI 등재
FINITE LOCAL RINGS OF ORDER ≤ 16 WITH NONZERO JACOBSON RADICAL
2
조회
0
다운로드
2
인용
0
참고문헌
키워드
주제분류수학
초록
The structures of finite local rings of order ≤ 16 with nonzero Jacobson radical are investigated. The whole shape of noncommutative local rings of minimal order is completely determined up to isomorphism.
Abstract
The structures of finite local rings of order ≤ 16 with nonzero Jacobson radical are investigated. The whole shape of noncommutative local rings of minimal order is completely determined up to isomorphism.
참고문헌 (12)
- H.E. Bell, "Near-rings in which each element isa power of itself", Bull. Austral. Math. Soc, 2, pp.363~368 (1970)
- J.L. Dorroh, "Concerning adjunctins to algebras", Bull. Amer. Math. Soc, 38, pp.85~88 (1932)
- K.E. Eldridge, "Orders for nite noncommutative rings with unity", Amer. Math. Monthly, 73, pp.376~377 (1966)
- J.M. Habeb, "A note on zero commutative and duo rings", Math. J. Okayama Univ, 32, pp.73~76 (1990)
- Young Cheol Jeon, "On weak Armendariz rings", 대한수학회보, 46(1), pp.135~146 (2009), 대한수학회
- N.K. Kim, "Extensions of reversible rings", J. Pure Appl. Algebra, 185, pp.207~223 (2003)
- R. L. Kruse, "Nilpotent Rings" (1969), Gordon and Breach
- T.K. Kwak, "The Armendariz property on ideals", J. Algebra, 354, pp.121~135 (2012)
- J. Lambek, "On the representation of modules by sheaves of factor modules", Canad. Math. Bull, 14, pp.359~368 (1971)
- 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, pp.71~73 (1982), Bib. Nat., Paris
- G. Shin, "Prime ideals and sheaf representation of a pseudo symmetric ring", Trans. Amer. Math. Soc, 184, pp.43~60 (1973)
- L. Xu, "Structure of minimal non-commutative zero-insertive rings", Math. J. Okayama Univ, 40, pp.69~76 (1998)
관련 논문AI추천
Ring structures concerning factorization modulo radicals이양, 김홍기, Hai Lan Jin대한수학회 · 대한수학회보2017 · 제54권 제4호Abelian property concerning factorization modulo radicals이양, 김동현, 김재민, 김재의, 김태형, 노진환, 류성주, 이유선, 이지영, 채동현, 최정민강원경기수학회 · 한국수학논문집2016 · 제24권 제4호Jacobson Radical and Nilpotent Elements허찬, 남순혜, 천정수영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호The group of units of some finite local rings III우성식대한수학회 · 대한수학회지2009 · 제46권 제4호Minimal noncommutative reversible and reflexive rings이양, 김병옥대한수학회 · 대한수학회보2011 · 제48권 제3호Normality on Jacobson and nil radicals김동화, 윤상조대한수학회 · 대한수학회논문집2019 · 제34권 제1호
이 간행물의 다른 논문 (9건)
Orthogonally additive and orthogonally quadratic functional equation박춘길, 이정례, 이성진pp. 1-21A proof on power-Armendariz rings서연숙, 김동화, 류성주pp. 29-34Continuity of the spectrum on (classA)전인호, 이재원pp. 35-39On nilpotent power series with nilpotent coefficients이양, 곽태근pp. 41-53The primitive bases of the signed cyclic graphs송병철, 김병문pp. 55-62