Right representations of right near-ring radicals

被引:2
作者
Rao, Ravi Srinivasa [1 ]
Veldsman, Stefan [2 ]
机构
[1] RVR & JC Coll Engn, Gunter 522019, AP, India
[2] Nelson Mandela Univ, Port Elizabeth, South Africa
基金
新加坡国家研究基金会;
关键词
Near-ring; Right near-ring group; Hoehnke radical; Kurosh-Amitsur radical; Special radical; Overnilpotent radical;
D O I
10.1007/s13370-018-0627-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that any radical in the variety of right near-rings has a natural representation in terms of right near-ring modules.
引用
收藏
页码:37 / 52
页数:16
相关论文
共 15 条
  • [1] Andrunakievi V. A, SOVIET MATHS DOKLADY, V156, P991
  • [2] Betsch G., 1985, COLL MATH SOC J BOLY, V38, P47
  • [3] Booth G. L., 1992, MATH JPN, V37, P701
  • [4] Booth G. L., 1992, QUAEST MATH, V15, P127
  • [5] A KUROSH-AMITSUR PRIME RADICAL FOR NEAR-RINGS
    BOOTH, GL
    GROENEWALD, NJ
    VELDSMAN, S
    [J]. COMMUNICATIONS IN ALGEBRA, 1990, 18 (09) : 3111 - 3122
  • [6] Grainger G. R., 1988, THESIS
  • [7] Hartney JFT, 2006, QUAEST MATH, V29, P285, DOI 10.2989/160736006094861641134.16020
  • [9] RADICALS AND SUBDIRECT DECOMPOSITIONS OF OMEGA-GROUPS
    MLITZ, R
    VELDSMAN, S
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1990, 48 : 171 - 198
  • [10] Rao RS, 2014, KYUNGPOOK MATH J, V54, P595, DOI [10.5666/KMJ.2014.54.4.595, 10.5666/KMJ.2014.54.4.593]