Prime ideals in group near-rings

被引：3

作者：

Groenewald, N. J. ^{[1
]}

Juglal, S. ^{[1
]}

Meyer, J. H. ^{[2
]}

机构：

[1] Nelson Mandela Metropolitan Univ, Dept Math & Appl Math, ZA-6000 Port Elizabeth, South Africa

[2] Univ Orange Free State, Dept Math & Appl Math, ZA-9300 Bloemfontein, South Africa

来源：

ALGEBRA COLLOQUIUM | 2008年 / 15卷 / 03期

关键词：

near-ring; ideal; prime;

D O I：

10.1142/S1005386708000497

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The flow (or lack thereof) of several kinds of primeness between a zero-symmetric near-ring R and its group near-ring R[G] for certain groups G is discussed. In certain cases, results are contrasted against what happens in the matrix near-ring situation.

引用

页码：501 / 510

页数：10

共 7 条

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[2] ON GROUP NEAR-RINGS
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MELDRUM, JDP
VANDERWALT, APJ
[J]. ARCHIV DER MATHEMATIK, 1989, 52 (02) : 132 - 139
[3] Meldrum J.D.P., 1985, RES NOTES MATH, V134
[4] MATRIX NEAR-RINGS
MELDRUM, JDP
VANDERWALT, APJ
[J]. ARCHIV DER MATHEMATIK, 1986, 47 (04) : 312 - 319
[5] Meyer J.H., 1986, THESIS U STELLENBOSC
[6] Meyer J. H., 2004, J AUSTR MATH SOC, V77, P321
[7] Pilz, 1983, NEAR RINGS

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