Subdirectly Irreducible Algebras in One Class of Algebras with One Operator and the Main Near-Unanimity Operation

Autor:	V. L. Usol’tsev
Rok vydání:	2021
Předmět:	Pure mathematics Class (set theory) Mathematics::Number Theory General Mathematics 010102 general mathematics 01 natural sciences 010305 fluids & plasmas Operator (computer programming) Unanimity 0103 physical sciences Irreducibility Congruence (manifolds) 0101 mathematics Algebra over a field Mathematics
Zdroj:	Lobachevskii Journal of Mathematics. 42:206-216
ISSN:	1818-9962 1995-0802
DOI:	10.1134/s199508022101025x
Popis:	In this paper we study a subdirect irreducibility of algebras with one operator and the main near-unanimity operation defined by the specific way. It is shown that congruence lattices of algebras of given class are atomic. In given class, the full description of atoms in congruence lattices of algebras, of subdirectly irreducible algebras, and of algebras with atomistic congruence lattices is obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2b9b9044b195de571b622b17daab974c https://doi.org/10.1134/s199508022101025x Zobrazit plný text záznamu Full text from SpringerLink