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pro vyhledávání: '"Piciu, Dana"'
In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory and lattice theory point of view. Ideals are important concepts in the theory of algebraic structures used for formal fuzzy logic and first, we investigate the l
Externí odkaz:
http://arxiv.org/abs/2401.15643
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 2, Pp 145-155 (2024)
Ideals and filters are important notions with different meanings in the study of algebraic structures related to logical systems. In this paper we establish new connections between these concepts in residuated lattices.
Externí odkaz:
https://doaj.org/article/ed8b9076c5e74bb48019dd147d30b7f3
Algebras of Logic deal with some algebraic structures, often bounded lattices, considered as models of certain logics, including logic as a domain of order theory. There are well known their importance and applications in social life to advance usefu
Externí odkaz:
http://arxiv.org/abs/2303.03289
Autor:
Flaut, Cristina, Piciu, Dana
The aim of this paper is to analize the structure of BL-algebras using commutative rings. From computational considerations, we are very interested in the finite case. We present new ways to generate finite BL-algebras using commutative rings and we
Externí odkaz:
http://arxiv.org/abs/2211.06297
Autor:
Flaut, Cristina, Piciu, Dana
In this paper using the connections between some subvarieties of residuated lattices, we investigated some properties of the lattice of ideals in commutative and unitary rings. We give new characterizations for commutative rings $A$ in which $Id(A)$
Externí odkaz:
http://arxiv.org/abs/2205.11431
Publikováno v:
Carpathian Journal of Mathematics, 2021 Jan 01. 37(1), 53-63.
Externí odkaz:
https://www.jstor.org/stable/27082082
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 29, Iss 1, Pp 183-200 (2021)
In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the
Externí odkaz:
https://doaj.org/article/76b7ef0518b04cd7b3dd48da3c0132dd
Autor:
Piciu, Dana
Publikováno v:
In Fuzzy Sets and Systems 15 February 2021 405:47-64
Publikováno v:
Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, 2019 Jan 01. 62(3), 229-238.
Externí odkaz:
https://www.jstor.org/stable/26865703
Autor:
Piciu, Dana1 (AUTHOR) dana.piciu@edu.ucv.ro, Savin, Diana2 (AUTHOR) diana.savin@unitbv.ro
Publikováno v:
Mathematics (2227-7390). Jun2022, Vol. 10 Issue 11, p1831-1831. 13p.