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Normal Bands and Their Inverse Semigroups of Bicongruences


FitzGerald, DG, Normal Bands and Their Inverse Semigroups of Bicongruences, Journal of Algebra, 185, (2) pp. 502-526. ISSN 0021-8693 (1996) [Refereed Article]

DOI: doi:10.1006/jabr.1996.0337


Isomorphisms between quotient algebras of a given algebra form, under an appropriate multiplication, an inverse semigroup here called the inverse semigroup of bicongruences. This paper determines those normal bands whose inverse semigroups of bicongruences belong to special classes of inverse semigroups and finds conditions on the structure semilattices, rectangular band components, and linking homomorphisms of two normal bands with isomorphic inverse semigroups of bicongruences, under which the bands themselves are isomorphic or anti-isomorphic, or related in some looser manner. Some results are also given for the wider class of general bands. © 1996 Academic Press, Inc.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Algebra and number theory
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:FitzGerald, DG (Dr Des FitzGerald)
ID Code:9132
Year Published:1996
Deposited By:Applied Computing and Mathematics
Deposited On:1996-08-01
Last Modified:2011-08-22

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