Results 11 to 20 of about 2,874 (140)
Subalgebras of Heyting and De Morgan Heyting Algebras
Studia Logica, 2011 In this paper we obtain characterizations of subalgebras of Heyting algebras and De Morgan Heyting algebras. In both cases we obtain these characterizations by defining certain equivalence relations on the Priestley-type topological representations of the corresponding algebras. As a particular case we derive the characterization of maximal subalgebras
Castaño, Valeria Marcela +1 more
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Frontal Operators in Weak Heyting Algebras [PDF]
Studia Logica, 2012 Weak Heyting algebras and frontal Heyting algebras are important algebras of nonclassical logic. A frontal weak Heyting algebra is a generalization of frontal Heyting algebras, consisting of a weak Heyting algebra endowed with a frontal operator. The authors introduce the class of frontal weak Heyting algebras and give for it a representation and a ...
Celani, Sergio A. +1 more
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Semi-Heyting Algebras Term-equivalent to Gödel Algebras
Order, 2012 Introducing the variety \(\mathcal{SH}\) of semi-Heyting algebras, \textit{H. P. Sankappanavar} [in: Proceedings of the 9th ``Dr. Antonio A. R. Monteiro'' congress on mathematics, Bahía Blanca, Argentina, 2007. Bahía Blanca: Universidad Nacional del Sur, Instituto de Matemática. 33--66 (2008; Zbl 1175.06003)] considered the following conjecture ``there
Abad, Manuel +2 more
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On Subtractive Derivations of Rl‐Monoids
Mathematical Problems in Engineering, Volume 2023, Issue 1, 2023., 2023 This paper is intended to introduce the subtractive derivations and study some of their algebraic properties on Rl‐monoids. Also, we give some characterizations of subtractive derivations on the Gödel center. Moreover, Gödel algebras are characterized by a fixed set of subtractive derivations.
Yu Gao, Bingfang Li, Jun Tao Wang
wiley +1 more source
Fuzzy Spectral Spaces and Fuzzy Congruences of a Heyting ADL
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, the space Fp of fuzzy prime ideals of Heyting almost distributive lattice H is studied, and it is shown that the collection of all sets Mη is a topology on Fp, where η is a fuzzy ideal on H and Mη=θ∈Fp|η⊈θ. The only compact subset of the space Fp is given.
Yeshiwas Mebrat Gubena +2 more
wiley +1 more source
Subobjects and Compactness in Point‐Free Convergence
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 We consider subobjects in the context of point‐free convergence (in the sense of Goubault‐Larrecq and Mynard), characterizing extremal monomorphisms in the opposite category of that of convergence lattices. It turns out that special ones are needed to capture the notion of subspace.
Emilio Angulo +2 more
wiley +1 more source
A Generalized Definition of Fuzzy Subrings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this study, under the condition that L is a completely distributive lattice, a generalized definition of fuzzy subrings is introduced. By means of four kinds of cut sets of fuzzy subset, the equivalent characterization of L‐fuzzy subring measures are presented.
Ying-Ying An +3 more
wiley +1 more source
On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The concept of state has been considered in commutative and noncommutative logical systems, and their properties are at the center for the development of an algebraic investigation of probabilistic models for those algebras. This article mainly focuses on the study of the lattice of state ideals in De Morgan state residuated lattices (DMSRLs).
Francis Woumfo +4 more
wiley +1 more source
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The main goal of this paper is to introduce and investigate the related theory on monadic effect algebras. First, we design the axiomatic system of existential quantifiers on effect algebras and then use it to give the definition of the universal quantifier and monadic effect algebras.
Yuxi Zou, Xiaolong Xin, Li Guo
wiley +1 more source
Fuzzy Annihilator Ideals of C‐Algebra
Advances in Fuzzy Systems, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce the concept of relative fuzzy annihilator ideals in C‐algebras and investigate some its properties. We characterize relative fuzzy annihilators in terms of fuzzy points. It is proved that the class of fuzzy ideals of C‐algebras forms Heything algebra. We observe that the class of all fuzzy annihilator ideals can be made as a
Wondwosen Zemene Norahun +3 more
wiley +1 more source