Results 31 to 40 of about 673,590 (252)
The prime state ideal theorem in state residuated lattices [PDF]
Categories and General Algebraic Structures with Applications, 2023 The aim of this paper is to establish the prime state ideal theorem in state residuated lattices (SRLs). We study the state ideals lattice $\mathcal{SI}(L)$ of astate residuated lattice $(L, \varphi)$ andprove that it is a complete Brouwerian lattice ...
Francis Woumfo +2 more
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Duality for normal lattice expansions and sorted residuated frames with relations [PDF]
Algebra Universalis, 2021 We revisit the problem of Stone duality for lattices with quasioperators, presenting a fresh duality result. The new result is an improvement over that of our previous work in two important respects. First, the axiomatization of frames is now simplified,
Chrysafis Hartonas
semanticscholar +1 more source
On the impact of sup‐compositions in the resolution of multi‐adjoint relation equations
Mathematical Methods in the Applied Sciences, Volume 46, Issue 14, Page 15581-15598, 30 September 2023., 2023 Multi‐adjoint relation equations are defined by means of a sup‐composition operator involving different conjunctions. Former works reveal that the resolution of a multi‐adjoint relation equation is closely related to such conjunctions. This paper presents a first approach on the study of the influence of the selection of a sup‐composition operator in ...
David Lobo +2 more
wiley +1 more source
Kites and residuated lattices [PDF]
Algebra universalis, 2018 We investigate a construction of an integral residuated lattice starting from an integral residuated lattice and two sets with an injective mapping from one set into the second one. The resulting algebra has a shape of a Chinese cascade kite, therefore, we call this algebra simply a kite.
Anatolij Dvurečenskij, Michal Botur
openaire +3 more sources
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
M‐Hazy Module and Its Homomorphism Theorem
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Based on a completely distributive lattice M, we propose a new fuzzification approach to a module, which leads to the concept of an M‐hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a classical algebra, we introduce an M‐hazy module by fuzzifications of algebraic operations.
Donghua Huo, Hongyu Liu, Zafar Ullah
wiley +1 more source
The Fuzzy Prime Spectrum of Partially Ordered Sets
International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023 We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull‐kernel topology in partially ordered sets. Mainly, we investigate the conditions for which the fuzzy prime spectrum of a poset is compact, Hausdorff, and normal, respectively.
Derso Abeje Engidaw +6 more
wiley +1 more source
Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 The main purpose of this paper is to study fundamental properties of weak Γ‐hyperfilters on ordered Γ‐semihypergroups that is a generalization of Γ‐hyperfilters. Also, we investigate the relationship between weak Γ‐hyperfilters and prime Γ‐hyperideals in ordered Γ‐semihypergroups.
Yongsheng Rao +4 more
wiley +1 more source
A General Categorical Framework of Minimal Realization Theory for a Fuzzy Multiset Language
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper is to study the minimal realization theory for a fuzzy multiset language in the framework of category theory, which has already provided the tools and techniques for the advancement of several features of theoretical computer science. Specifically, by using the well‐known categorical concepts, it is shown herein that there is a minimal ...
Swati Yadav, S. P. Tiwari, Ali Ahmadian
wiley +1 more source
(Skew) Filters in Residuated Skew Lattices [PDF]
Scientific Annals of Computer Science, 2018 In this paper, we show the relationship between (skew) deductive system and (skew) filter in residuated skew lattices. It is shown that if a residuated skew lattice is conormal, then any skew deductive system is a skew filter under a condition and ...
R. Koohnavard, A. Borumand Saeid
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