Results 31 to 40 of about 367 (102)
Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, the concepts of n-fold implicative ideals and n-fold obstinate ideals in BL-algebras are introduced. With respect to this concepts, some related results are given. In particular, it is proved that an ideal is an n-fold implicative ideal if
Paad Akbar
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Open Mathematics, 2020 In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
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Coupled right orthosemirings induced by orthomodular lattices
, 2017 L. P. Belluce, A. Di Nola and B. Gerla established a connection between MV-algebras and (dually) lattice ordered semirings by means of so-called coupled semirings.
Chajda, Ivan, Länger, Helmut
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On some classes of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 205-211, 2001., 2001 The concept of a BCH‐algebra is a generalization of the concept of a BCI‐algebra. It is shown that weakly commutative BCH‐algebras are weakly commutative BCI‐algebras. Moreover, the concepts of weakly positive implicative and weakly implicative BCH‐algebras are defined and it is shown that every weakly implicative BCH‐algebra is a weakly positive ...
Muhammad Anwar Chaudhry +1 more
wiley +1 more source
Study hoop algebras by fuzzy (n-fold) obstinate filters
Topological Algebra and its Applications, 2023 In this article, we introduce the concept of fuzzy (n-fold) obstinate filter on hoop algebras and study some of the properties. We define and study fuzzy prime filter and fuzzy n-fold implicative filter on hoop algebras.
Namdar Ameneh, Saeid Arsham Borumand
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, 2012 We characterize weak BCC-algebras in which the identity $(xy)z=(xz)y$ is satisfied only in the case when elements $x,y$ belong to the same ...
Bunder W. M. +23 more
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Fuzzy Translations of Fuzzy H-ideals in $Bck/bci$-algebras [PDF]
, 2015 In this paper, the concepts of fuzzy translation to fuzzy H-ideals in BCK/BCI-algebras are introduced. The notion of fuzzy extensions and fuzzy mul-tiplications of fuzzy H-ideals with several related properties are investigated.
Senapati, T. (Tapan)
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On n‐fold fuzzy implicative/commutative ideals of BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 419-424, 2001., 2001 We consider the fuzzification of the notion of an n‐fold implicative ideal, an n‐fold (weak) commutative ideal. We give characterizations of an n‐fold fuzzy implicative ideal. We establish an extension property for n‐fold fuzzy commutative ideals.
Young Bae Jun
wiley +1 more source
Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are introduced, and several related properties are investigated.
Senapati Tapan +3 more
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Generalized Rough Sets Applied to BCK/BCI-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The concept of a (strong) set-valued BCK/BCI-morphism in BCK/BCI-algebras is considered, and several properties are investigated. Conditions for a set-valued mapping to be a set-valued BCK/BCI-morphism are given.
Jun Young Bae +2 more
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