Inverse Semigroups of Bicongruences on Algebras, Particularly Semilattices

Desmond G. FitzGerald
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Desmond G. FitzGerald: Tasmanian State Institute of Technology, School of Humanities

A chapter in Lattices, Semigroups, and Universal Algebra, 1990, pp 59-66 from Springer

Abstract: Abstract Isomorphisms between quotient algebras of an algebra make up an inverse semigroup which carries information about the algebra. The extent of this information is explored in the case of semilattices; the main result is that any (meet) semilattice admitting no joins of incomparable elements, and satisfying chain conditions, is determined up to isomorphism by the inverse semigroup of isomorphisms between its quotient semilattices.

Keywords: Inverse Semigroup; Universal Algebra; Congruence Lattice; Subdirect Product; Inverse Monoids (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-2608-1_6

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DOI: 10.1007/978-1-4899-2608-1_6

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