Results 31 to 40 of about 401 (107)
ℒ‐Fuzzy Cosets of ℒ‐Fuzzy Filters of Residuated Multilattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 This paper mainly focuses on building the ℒ‐fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of ℒ‐fuzzy filter and ℒ‐fuzzy deductive system of residuated multilattices. Then, we highlight their properties and show how they are linked.
Pierre Carole Kengne +4 more
wiley +1 more source
Algorithms for Finding Specific Elements in Algebraic Hyperstructures with One Hyperoperation [PDF]
Mathematics Interdisciplinary ResearchIn this paper, first, we show how to define an algebraic hyperstructure by using algorithms. Then, we present algorithms that calculate specific elements in algebraic hyperstructures. These specific elements are: scalars, scalar identities
Aboutorab Pourhaghani +2 more
doaj +1 more source
r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu +6 more
wiley +1 more source
The Prime Filter Theorem for Multilattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The aim of this paper is to establish the prime filter theorem for multilattices.
Daquin Cédric Awouafack +3 more
wiley +1 more source
On Strongly Associative (Semi)Hypergroups [PDF]
, 2017 In this paper we introduce the notion of a strongly associative hyperoperation that we call SASS and obtain new class of semihypergroups...
Jafarpour, M. (Morteza) +2 more
core +1 more source
Hyperstructures in Lie-Santilli Admissibility and Iso-Theories
Ratio Mathematica, 2017 In the quiver of hyperstructures Professor R. M. Santilli, in early 90'es, tried to find algebraic structures in order to express his pioneer Lie-Santilli's Theory.
Maria Santilli Ruggero +1 more
doaj +1 more source
A brief survey on algebraic hyperstructures: Theory and applications [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 2020 I am working on algebraic hyperstructures from 1995. During the last twenty years, I together with my students and co-authors studied and developed the theory of algebraic hyperstructures in many directions. In particular, we tried to find real examples of hyperstructures in nature.
openaire +1 more source
, 2011 The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Roy, Sanjay, Samanta, T. K.
core +1 more source
A Strong Regular Relation on ?-Semihyperrings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2011 The concept of algebraic hyperstructures introduced by Marty as a generalization of ordinary algebraic structures. In an ordinary algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of
B Davaz
doaj
Operations on hyperideals in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize
Omidi S., Davvaz B., Corsini P.
doaj +1 more source