Minimal quasivarieties of semilattices over commutative groups

Autor:	Nagy, Ildikó V.
Rok vydání:	2012
Předmět:	Mathematics - Rings and Algebras 06A12
Druh dokumentu:	Working Paper
Popis:	We continue some recent investigations of W. Dziobiak, J. Jezek, and M. Maroti. Let G=(G,\cdot) be a commutative group. A semilattice over G is a semilattice enriched with G as a set of unary operations acting as semilattice automorphisms. We prove that the minimal quasivarieties of semilattices over a finite abelian group G are in one-to-one correspondence with the subgroups of G. If G is not finite, then we reduce the description of minimal quasivarieties to that of those minimal quasivarieties in which not every algebra has a zero element. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1208.5579 Zobrazit plný text záznamu View this record from Arxiv