Inverse Semigroups and their Lattices of Inverse Subsemigroups

Peter R. Jones
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Peter R. Jones: Marquette University, Department of Mathematics, Statistics and Computer Science

A chapter in Lattices, Semigroups, and Universal Algebra, 1990, pp 115-127 from Springer

Abstract: Abstract For any class C of algebras it is natural to wonder how well algebras from C are determined by their lattices of subalgebras. This topic has a long history, beginning with subgroup lattices of groups (see §3). The subspace lattice of a vector space was shown to be intimately connected with projective geometry by R. Baer [1]. An interesting historical perspective may be found in the introduction to [33]. In my talk I will consider this topic from the point of view of inverse semigroups.

Keywords: Maximal Subgroup; Inverse Semigroup; Regular Semigroup; Subgroup Lattice; Lattice Isomorphism (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-1-4899-2608-1_13

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