RESIDUATED REGULAR-SEMIGROUPS

被引：3

作者：

BLYTH, TS

PINTO, GA

机构：

[1] UNIV ST ANDREWS,INST MATH,ST ANDREWS KY16 9ST,FIFE,SCOTLAND

[2] UNIV NOVA LISBOA,DEPT MATEMAT,P-1200 LISBON,PORTUGAL

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1992年 / 35卷

关键词：

D O I：

10.1017/S0013091500005770

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that in a residuated regular semigroup the elements of the form x . . x and x . . x are idempotents, and derive some consequences of this fact. In particular, we show how the maximality of such idempotents is related to the semigroup being naturally ordered, and obtain from this a characterisation of the boot-lace semigroup of [2].

引用

页码：501 / 509

页数：9