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

事物的方面

Inverse Semigroupsioned in Subsection 30.3, regarding projectivities of inverse semigroups, we deal with the same basic problems as for the “usual” lattice isomorphisms. We only name them; the reader is referred to the corresponding paragraphs of Subsection 30.2. For a fixed class A of inverse semigroups, the followi

Leaven

TEN

Semigroups Decomposable into Rectangular Bandsention. We recall (see Theorem 1.7.1) that an arbitrary band of some family of semigroups is a semilattice of rectangular bands of these semigroups divided into subfamilies. So, from the point of view of decompositions into arbitrary bands, rectangular bands are of particular interest.

内向者

voluble

Finiteness Conditions Proposition 3.2). So, to describe semigroups . with a non-trivial finiteness condition for Sub., we should clarify, so to say, a character and a degree of “deviations” from the property of being a finite semigroup. Such deviations will almost always take place in maximal subgroups of semigroups und

Anguish

流动性

起皱纹

septicemia

Semigroups Defined by Certain Presentationsmigroups; their strict lattice determinability has already been proved in Section 33 (see 33.29) as a consequence of more general facts on lattice isomorphisms of cancellative semigroups. (Notice that this result, in its turn, was apparently the first one in investigations of subsemigroup lattices o

HUMP

Book 1996ctor space over a skew field. A more general approach deals with modules and their submodule lattices. Examining subsystem lattices for the case of modules as well as for rings and algebras (both associative and non-associative, in particular, Lie algebras) began more than thirty years ago; there ar