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
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
收藏
页码:1 / 21
页数:21
相关论文
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
    LAWSON, MV
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1990, 67 (02) : 151 - 177