Rank properties in finite inverse semigroups

被引：0
|
作者：
Ribeiro, MIM [1 ]
机构：
[1] Univ Acores, Dept Matemat, P-9500 Ponta Delgada, Acores, Portugal
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2000年 / 43卷
关键词：
inverse semigroup; Brandt semigroup; rank; intermediate I-rank; upper I-rank; large I-rank;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Two possible concepts of rank in inverse semigroup theory, the intermediate I-rank and the upper I-rank, are investigated for the finite aperiodic Brandt semigroup. The so-called large I-rank is found for an arbitrary finite Brandt semigroup, and the result is used, to obtain the large rank of the inverse semigroup of all proper subpermutations of a finite set.
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页码：559 / 568
页数：10
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