Autor:	Teresa Almada, Júlia Vaz de Carvalho
Rok vydání:	2001
Předmět:	Pure mathematics History and Philosophy of Science Logic Generalization Subdirectly irreducible algebra Order (group theory) Simple algebra MV-algebra Variety (universal algebra) Congruence relation Łukasiewicz logic Mathematics
Zdroj:	Studia Logica. 69:329-338
ISSN:	0039-3215
DOI:	10.1023/a:1013846725213
Popis:	We introduce the variety ℒ n m , m ≥ 1 and n ≥ 2, of m-generalized Łukasiewicz algebras of order n and characterize its subdirectly irreducible algebras. The variety ℒ n m is semisimple, locally finite and has equationally definable principal congruences. Furthermore, the variety ℒ n m contains the variety of Łukasiewicz algebras of order n.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::64bfd798c4cc3b7fb2a4241db5ef4ccd https://doi.org/10.1023/a:1013846725213 Zobrazit plný text záznamu Full text from SpringerLink