STRUCTURES CONCERNING GROUP OF UNITS

被引:4
作者
Chung, Young Woo [1 ]
Lee, Yang [2 ]
机构
[1] Kyungsung Univ, Sch Math & Appl Stat, Busan 48434, South Korea
[2] Pusan Natl Univ, Dept Math Educ, Busan 46241, South Korea
基金
新加坡国家研究基金会;
关键词
weakly right unit-duo ring; right unit-duo ring; group of units; Jacobson radical; Abelian ring; nilpotent element; pi-regular ring; right duo ring; weakly right duo ring; group ring; DUO; RINGS;
D O I
10.4134/JKMS.j150666
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note we consider the right unit-duo ring property on the powers of elements, and introduce the concept of weakly right unit duo ring. We investigate first the properties of weakly right unit-duo rings which are useful to the study of related studies. We observe next various kinds of relations and examples of weakly right unit-duo rings which do roles in ring theory.
引用
收藏
页码:177 / 191
页数:15
相关论文
共 50 条
  • [21] Units of commutative group algebra with involution
    Bovdi, A.
    Szakacs, A.
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2006, 69 (03): : 291 - 296
  • [22] Unitary Units Satisfying a Group Identity
    Broche, Osnel
    Dooms, Ann
    Ruiz, Manuel
    COMMUNICATIONS IN ALGEBRA, 2009, 37 (05) : 1729 - 1738
  • [23] Construction of free subgroups in the group of units of modular group algebras
    Goncalves, JZ
    Passman, DS
    COMMUNICATIONS IN ALGEBRA, 1996, 24 (13) : 4211 - 4215
  • [24] RING STRUCTURES CONCERNING FACTORIZATION MODULO RADICALS
    Jin, Hai-Lan
    Kim, Hong Kee
    Lee, Yang
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (04) : 1123 - 1139
  • [25] Torsion units in the integral group ring of the alternating group of degree 6
    Salim, Mohamed Ahmed M.
    COMMUNICATIONS IN ALGEBRA, 2007, 35 (12) : 4198 - 4204
  • [26] Group rings whose unitary units are nilpotent
    Lee, Gregory T.
    Sehgal, Sudarshan K.
    Spinelli, Ernesto
    JOURNAL OF ALGEBRA, 2014, 410 : 343 - 354
  • [27] ON DECOMPOSITIONS OF NORMED UNITS IN ABELIAN GROUP RINGS
    Danchev, Peter
    JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2012, 18 (01) : 21 - 29
  • [28] On symmetric elements and symmetric units in group rings
    Jespers, E
    Marín, MR
    COMMUNICATIONS IN ALGEBRA, 2006, 34 (02) : 727 - 736
  • [29] Normal subgroups of the group of units of incidence algebras
    Dugas, Manfred
    Herden, Daniel
    Rebrovich, Jack
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 586 : 64 - 88
  • [30] Group algebras whose involutory units commute
    Bovdi, V
    Dokuchaev, M
    ALGEBRA COLLOQUIUM, 2002, 9 (01) : 49 - 64