Preliminaries on Lattice Isomorphisms
Topics in examining lattice isomorphisms are grouped round a few basic problems. A list of these problems is given in Subsection 30.2 (beforehand, in Subsection 30.1, all necessary definitions are formulated); they concern an arbitrary fixed class A of semigroups. In investigations, many popular classes of semigroups have played the role of A The results of these investigations are reflected in Chapters X–XIV (see also Subsection IX.4); for the classes of semigroups considered there, as a rule, all the mentioned basic problems are solved.
KeywordsInverse Semigroup Commutative Semigroup Rectangular Band Lattice Isomorphism Cancellative Semigroup
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