On near-ring idempotents and polynomials on direct products of Ω-groups

被引：8

作者：

Aichinger, E ^{[1
]}

机构：

[1] Johannes Kepler Univ, Inst Algebra Stochast & Wissensbasierte Math Syst, A-4040 Linz, Austria

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2001年 / 44卷

关键词：

near-rings; Omega-groups; polynomials; N-groups;

D O I：

10.1017/S0013091599001418

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be a zero-symmetric near-ring with identity, and let Gamma be a faithful tame N-group. We characterize those ideals of Gamma that are the range of some idempotent element of N. Using these idempotents, we show that the polynomials on the direct product of the finite Omega -groups V-1, V-2,..., V-n can be studied componentwise if and only if Pi (n)(i=1) V-i has no skew congruences.

引用

页码：379 / 388

页数：10

共 17 条

[1]

AICHINGER E, 1999, RIV MAT U PARMA, V2, P215

[2]

AICHINGER E, UNPUB POLYNOMIAL INT

[3]

Betsch G., 1973, C MATH SOC JANOS BOL, V6, P73

[4]

Eigenthaler G., 1977, Journal of the Australian Mathematical Society, Series A (Pure Mathematics), V24, P162

[5]

Hobby D., 1988, Contemporary Mathematics, V76

[6]

IDZIAK PM, IN PRESS J PURE APPL

[7]

Kurosh A.G., 1965, LECT GEN ALGEBRA

[8]

Lam T. Y, 1991, 1 COURSE NONCOMMUTAT

[9]

Lausch H., 1973, ALGEBRA POLYNOMIALS

[10]

McKenzie R., 1987, ALGEBRAS LATTICES VA, V1

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