Pure skew lattices in rings

被引：4

作者：

Cvetko-Vah, K ^{[1
]}

机构：

[1] Univ Ljubljana, Dept Math, Ljubljana 1000, Slovenia

来源：

SEMIGROUP FORUM | 2004年 / 68卷 / 02期

关键词：

Polynomial Identity; Skew Lattice; Multiplicative Band;

D O I：

10.1007/s00233-003-0013-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a ring R, let S subset of or equal to R be a pure multiplicative band that is closed under the cubic join operation xdely = x + y + yx - xyx - yxy. We show that (S, ., del) forms a pure skew lattice if and only if S satisfies the polynomial identity (xy - yx)(2) z = z (xy - yx)(2). We also examine properties of pure skew lattices in rings.

引用

页码：268 / 279

页数：12

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