Rank properties in finite inverse semigroups

Authors
Ribeiro, MIM
Citation
Mim. Ribeiro, Rank properties in finite inverse semigroups, P EDIN MATH, 43, 2000, pp. 559-568
Citations number
6
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
ISSN journal
00130915 → ACNP
Volume
43
Year of publication
2000
Part
3
Pages
559 - 568
Database
ISI
SICI code
0013-0915(200010)43:<559:RPIFIS>2.0.ZU;2-V
Abstract
Two possible concepts of rank in inverse semigroup theory, the intermediate I-rank and the upper I-rank, are investigated for the finite aperiodic Bra ndt 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 i nverse semigroup of all proper subpermutations of a finite set.