Congruences associated with the kernel and the trace operators for primitive regular semigroups

Autor:	M. G. Murciano
Rok vydání:	1998
Předmět:	Krohn–Rhodes theory Discrete mathematics Pure mathematics Cancellative semigroup Mathematics::Operator Algebras Semigroup Lattice (order) Bicyclic semigroup Special classes of semigroups Congruence relation Regular semigroup Mathematics
Zdroj:	Journal of Information and Optimization Sciences. 19:319-336
ISSN:	2169-0103 0252-2667
DOI:	10.1080/02522667.1998.10699383
Popis:	The aim of this paper is the study of the semigroup generated by the set of the kemel-trace operators on the congruence lattice of a primitive regular semigroup. Since the structure of the nontrivial primitive regular semigroups is best described as an orthogonal sum of completely 0-simple semigroups, the problem of describing the previous semigroup is solved by determining the semigroups associated with any semigroup of the orthogonal sum. To do the latter, use is made of the Rees Theorem.
Databáze:	OpenAIRE
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