Zobrazeno 1 - 10
of 34
pro vyhledávání: '"L. P. Belluce"'
Publikováno v:
Algebra universalis. 77:345-360
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
https://doi.org/10.1007/s00012-017-0435-2
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
https://doi.org/10.1093/logcom/exu042
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
https://doi.org/10.1016/j.jpaa.2012.10.012
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
https://doi.org/10.1002/malq.19940400304
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
https://doi.org/10.1007/s00500-004-0371-x
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
https://doi.org/10.1080/11663081.1999.10510962
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
http://hdl.handle.net/11386/4419255
Autor:
L. P. Belluce
Publikováno v:
Communications in Algebra. 25:1513-1536
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3433fcdef97df14e54a9861c9772c1b3
https://doi.org/10.1080/00927879708825933
https://doi.org/10.1080/00927879708825933
Autor:
L. P. Belluce, Antonio Di Nola
Publikováno v:
Mathematical Logic Quarterly. 42:551-563
In [9] Mundici introduced a categorical equivalence Γ between the category of MV-algebras and the category of abelian -groups with strong unit. Using Mundici's functor Γ, in [8] the authors established an equivalence between the category of perfect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c40f9a04b64d69f31b43fd307a234fb
https://doi.org/10.1002/malq.19960420143
https://doi.org/10.1002/malq.19960420143
Publikováno v:
IFSA/NAFIPS
We identify polynomial functions over any MV algebra with a kind of truncated function, give a form of Nullstellensatz for A[x1,...,xn], and give a universal algebraic duality between algebraic sets and their coordinate algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb139b148111022ede44acd412c8b37b
http://hdl.handle.net/11386/4673636
http://hdl.handle.net/11386/4673636