Planar near-rings, sandwich near-rings and near-rings with right identity

被引：4
|
作者：
Wendt, G [1 ]
机构：
[1] Johannes Kepler Univ, Inst Algebra, A-4040 Linz, Austria
来源：
Nearring and Nearfields | 2005年
关键词：
D O I：
10.1007/1-4020-3391-5_15
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every near-ring containing a multiplicative right identity can be described as a centralizer near-ring with sandwich multiplication. Using this result we characterize planar near-rings and near-rings solving the equation xa=c in terms of such centralizer near-rings with sandwich multiplication. We also get results on primitive near-rings and on minimal left ideals in primitive near-rings, 2000 Mathematics Subject Classification: 16Y30.
引用
收藏
页码：277 / 291
页数：15
相关论文
共 50 条
  • [21] MATRIX NEAR-RINGS
    MELDRUM, JDP
    VANDERWALT, APJ
    ARCHIV DER MATHEMATIK, 1986, 47 (04) : 312 - 319
  • [22] TOPOLOGICAL NEAR-RINGS
    BEIDLEMAN, JC
    COX, RH
    ARCHIV DER MATHEMATIK, 1967, 18 (05) : 485 - +
  • [23] ON FINITENESS OF NEAR-RINGS
    BELL, HE
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1984, 31 (1-2): : 77 - 80
  • [24] SANDWICH NEAR-RINGS OF HOMOGENEOUS FUNCTIONS
    MAXSON, CJ
    SPEEGLE, A
    COMMUNICATIONS IN ALGEBRA, 1995, 23 (12) : 4587 - 4611
  • [25] Prime radicals in sandwich near-rings
    Booth, G. L.
    ACTA MATHEMATICA HUNGARICA, 2011, 131 (1-2) : 25 - 34
  • [26] VALUATION NEAR-RINGS
    ZEMMER, JL
    MATHEMATISCHE ZEITSCHRIFT, 1973, 130 (02) : 175 - 188
  • [27] ON DIVISION NEAR-RINGS
    LIGH, S
    CANADIAN JOURNAL OF MATHEMATICS, 1969, 21 (06): : 1366 - &
  • [28] SEMIPRIME NEAR-RINGS
    DESTEFANO, S
    DISIENO, S
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1991, 51 : 88 - 94
  • [29] On regularities in near-rings
    Groenewald, NJ
    Olivier, WA
    ACTA MATHEMATICA HUNGARICA, 1997, 74 (03) : 177 - 190
  • [30] Graded near-rings
    Dumitru, Mariana
    Nastasescu, Laura
    Toader, Bogdan
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (01): : 201 - 216
12345