Výsledky vyhledávání - "L. P. Belluce"

Given an MV-algebra A, with its natural partial ordering, we consider in A the intervals of the form [0, a], where \({a \in A}\). These intervals have a natural structure of MV-algebras and will be called the relative subalgebras of A (in analogy wit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5aeb3a75f31154726b7dbd7a10d01a1f
https://doi.org/10.1007/s00012-017-0435-2

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On generalizing the Nullstellensatz for MV algebras

Autor: A. Di Nola, Giacomo Lenzi, L. P. Belluce

Publikováno v: Journal of Logic and Computation. 25:701-717

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 wi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdc0afbfb19584b1fbaa51b151577a4b
https://doi.org/10.1093/logcom/exu042

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Hyperfinite MV-algebras

Autor: L. P. Belluce, A. Di Nola, Giacomo Lenzi

Publikováno v: Journal of Pure and Applied Algebra. 217:1208-1223

In this paper, we will be concerned with Hyperfinite MV-algebras, which are infinite models of the theory of finite MV-algebras. We have three main results. As a first main result, we show that every hyperfinite MV-algebra is elementarily equivalent

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4badcd4c9f1ab3b4b70912dd42725fda
https://doi.org/10.1016/j.jpaa.2012.10.012

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The Prime Spectrum of an MV-Algebra

Autor: L. P. Belluce, Antonio Di Nola, Salvatore Sessa

Publikováno v: Mathematical Logic Quarterly. 40:331-346

In this paper we show that the prime ideal space of an MV-algebra is the disjoint union of prime ideal spaces of suitable local MV-algebras. Some special classes of algebras are defined and their spaces are investigated. The space of minimal prime id

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe1f31794b08a31a5d2a77579782c6b5
https://doi.org/10.1002/malq.19940400304

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Boolean dominated MV-algebras

Autor: L. P. Belluce, Ada Lettieri

Publikováno v: Soft Computing. 9:536-543

In this paper the authors study an obvious generalization of the hyperarchimedian MV-algebras: boolean dominated MV-algebras. Particularly they point out the wide difference between the class of the hyperarchimedian MV-algebras and the class of the B

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8ad3acf30d8559375ba23d6ec0c4323
https://doi.org/10.1007/s00500-004-0371-x

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PerfectMV-Algebras andl-Rings

Autor: George Georgescu, Antonio Di Nola, L. P. Belluce

Publikováno v: Journal of Applied Non-Classical Logics. 9:159-172

In this paper we shall prove that l-rings are categorally equivalent to the MV*-algebras, a subcategory of perfect MV-algebras. We shall use this equivalence in order to characterize l-rings as quotients of certain semirings of matrices over MV*-alge

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1840378bf6cfbbbcb02d94f82bd6f8cd
https://doi.org/10.1080/11663081.1999.10510962

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Algebraic geometry for MV-algebras

Autor: Antonio Di Nola, L. P. Belluce, Giacomo Lenzi

In this paper we try to apply universal algebraic geometry to MV algebras, that is, we study “MV algebraic sets” given by zeros of MV polynomials, and their “coordinate MV algebras”. We also relate algebraic and geometric objects with theorie

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06302e1c813d78b9f520908d9c9d0aff
http://hdl.handle.net/11386/4419255

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