Journal article
Bifree locally inverse semigroups as expansions



Publication Details
Authors:
Billhardt, B.
Publication year:
2005
Journal:
Journal of Algebra
Pages range:
505-521
Volume number:
283
ISSN:
0021-8693

Abstract
In [Studia Sci. Math. Hungar. 41 (2004) 39-58] we constructed for a completely simple semigroup C an expansion S(C), which is isomorphic to the Birget-Rhodes expansion C-Pr [J. Algebra 120 (1989) 284-300], if C is a group. Analogous to the fact, proven in [J. Algebra 120 (1989) 284300], that CPr contains a copy of the free inverse semigroup in case C is the free group on X, we show that S(C) contains a copy of the bifree locally inverse semigroup, if C is the bifree completely simple semigroup on X. As a consequence, among other things, we obtain a new proof of a result due to F. Pastijn [Trans. Amer. Math. Soc. 273 (1982) 631-655] which says that each locally inverse semigroup divides a perfect rectangular band of E-unitary inverse monoids. (C) 2004 Elsevier Inc. All rights reserved.


Authors/Editors

Last updated on 2019-01-11 at 16:06