The Congruence Lattice of Bruck–Reilly Extensions

Autor:	Brunetto Piochi
Rok vydání:	2000
Předmět:	Monoid Discrete mathematics Pure mathematics Algebra and Number Theory Mathematics::Number Theory Applied Mathematics Lattice (order) Homomorphism Algebraic geometry Congruence relation Mathematics
Zdroj:	Algebra Colloquium. 7:59-72
ISSN:	0219-1733 1005-3867
DOI:	10.1007/s10011-000-0059-4
Popis:	We study the lattice. C(S) of congruences of a monoid S which is the Bruck-Reilly extension of a monoid T by a homomorphism α. The inclusion, meet and join of congruences are described in terms of congruences and ideals of T. We show that C(S) can be naturally decomposed into three sublattices, corresponding (roughly speaking) to the three different types of congruences on such semigroups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e65d8dee2fab8a02240bdc3eeb243ebd https://doi.org/10.1007/s10011-000-0059-4 Zobrazit plný text záznamu Full text from SpringerLink