Titlebook: Semigroups and Their Subsemigroup Lattices; Lev N. Shevrin,Alexander J. Ovsyannikov Book 1996 Springer Science+Business Media Dordrecht 19

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Finiteness Conditionsteness conditions is a classical approach in investigation of algebraic systems of different kinds. Many such conditions are formulated in terms of subsystem lattices; the most important examples are the minimal and the maximal conditions (which are equivalent to the descending and the ascending cha

objection

Inverse Semigroups with Certain Types of Lattices of Full Inverse Subsemigroupstion of multiplication and the unary operation of taking the inverse element. From this point of view it is natural to associate with any inverse semigroup . the lattice of all subsystems, i.e. unary subsemigroups of .. But a unary subsemigroup of an inverse semigroup is none other than an inverse s

誓言

radiograph

folliculitis

Rejuvenate

Preliminaries on Lattice IsomorphismsSubsection 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 c

Collision

轻而薄

助记

Diskectomy

Semigroups Defined by Certain Presentationsasonable to be interested in the following quetion: how do lattice isomorphisms depend on presentations? As to the problem of lattice classification, it is scarcely possible to find rather general approaches from this viewpoint, although for a number of classes of semigroups (for example, for cyclic