On the foundations of inverse monoids and inverse algebras

被引：13

作者：

Leech, J ^{[1
]}

机构：

[1] Westmont Coll, Dept Math, Santa Barbara, CA 93108 USA

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1998年 / 41卷

关键词：

D O I：

10.1017/S0013091500019398

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Symmetric inverse monoids of objects in arbitrary categories are studied. Necessary and sufficient conditions are given for such monoids to be E-unitary or else form (complete) inverse algebras. Particular attention is given to symmetric inverse monoids of objects in free categories.

引用

页码：1 / 21

页数：21

共 17 条

[1]

ADEMEK J, 1990, ABSTR CONCR CAT

[2]

Barr M., 1985, Toposes, Triples and Theories

[3]

CLIFFORD AH, 1953, AM J MATH, V15, P541

[4]

GAIFMAN H, 1964, FUND MATH, V54, P229

[5]

Grillet P., 1995, SEMIGROUPS INTRO STR

[6]

HALES AW, 1964, FUND MATH, V54, P45

[7]

Howie J., 1976, An introduction to semigroup theory

[8]

Johnstone P.T., 1982, Cambridge Studies in Advanced Mathematics

[9]

Kocin B.P., 1968, VESTNIK LENINGRAD U, V23, P41

[10] THE GEOMETRIC-THEORY OF INVERSE-SEMIGROUPS .1. E-UNITARY INVERSE-SEMIGROUPS [J].

LAWSON, MV .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1990, 67 (02) :151-177

← 1 2 →