On generalizing the Nullstellensatz for MV algebras

Autor:	A. Di Nola, Giacomo Lenzi, L. P. Belluce
Rok vydání:	2014
Předmět:	Pure mathematics Keywords: MV algebra Logic Closure (topology) Algebraic geometry MV-algebra MV polynomial Galois connection Nullstellensatz McNaughton’s Theorem Theoretical Computer Science Arts and Humanities (miscellaneous) Hardware and Architecture Software Mathematics
Zdroj:	Journal of Logic and Computation. 25:701-717
ISSN:	1465-363X 0955-792X
DOI:	10.1093/logcom/exu042
Popis:	In this article, first we generalize from the MV algebra [0,1] to an arbitrary MV algebra A the well-known Galois connection (V ,I) between the powerset of each power of [0,1] and the powerset of the corresponding free MV algebra. Then, in analogy with the Nullstellensatz of classical algebraic geometry, we study the closure operators obtained by composing the
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdc0afbfb19584b1fbaa51b151577a4b https://doi.org/10.1093/logcom/exu042 Zobrazit plný text záznamu