On lattice properties of epigroups

Autor:	A. J. Ovsyannikov, L. N. Shevrin
Rok vydání:	2008
Předmět:	Combinatorics Algebra and Number Theory Quasivariety Mathematics::General Mathematics High Energy Physics::Lattice Lattice (order) Modulo Mathematics::Rings and Algebras Epigroup Lattice properties Semilattice Mathematics
Zdroj:	Algebra universalis. 59:209-235
ISSN:	1420-8911 0002-5240
Popis:	The structure of an epigroup with upper semimodular subepigroup lattice is described modulo groups. A special case is distinguished when this lattice belongs to a quasivariety contained in the variety of all modular lattices. It is also shown that certain properties of epigroups are invariant under taking a lattice isomorphic epigroup; this takes place, in particular, for epigroups decomposable into a semilattice of archimedean epigroups and for some types of archimedean epigroups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7f201289bf51bbcef81cb5436d0dc805 https://doi.org/10.1007/s00012-008-2112-y Zobrazit plný text záznamu Full text from SpringerLink