Results 41 to 50 of about 263,497 (101)
Structure of Intuitionistic Fuzzy Sets in Γ‐Semihyperrings
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 As we know, intuitionistic fuzzy sets are extensions of the standard fuzzy sets. Now, in this paper, the basic definitions and properties of intuitionistic fuzzy Γ‐hyperideals of a Γ‐semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noetherian Γ‐semihyperring are given.
Bayram Ali Ersoy +2 more
wiley +1 more source
Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets
Journal of Mathematics, Volume 2024, Issue 1, 2024.The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah +2 more
wiley +1 more source
On Rough Hyperideals in Hyperlattices
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 We introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices. Then, applying the notion of rough sets to hyperlattices, we introduce rough hyperideals in hyperlattices, which are extended notions of hyperideals of hyperlattices.
Pengfei He +3 more
wiley +1 more source
Alpha-prime hyperideals in a multiplicative hyperring
, 2021 The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
openaire +2 more sources
Note on Isomorphism Theorems of Hyperrings
International Journal of Mathematics and Mathematical Sciences, Volume 2010, Issue 1, 2010., 2010 There are different notions of hyperrings (R, +, ·). In this paper, we extend the isomorphism theorems to hyperrings, where the additions and the multiplications are hyperoperations.
Muthusamy Velrajan +2 more
wiley +1 more source
Hyperfield extensions, characteristic one and the Connes-Consani plane connection [PDF]
, 2014 Inspired by a recent paper of Alain Connes and Catherina Consani which connects the geometric theory surrounding the elusive field with one element to sharply transitive group actions on finite and infinite projective spaces ("Singer actions"), we ...
Thas, Koen
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Exact category of hypermodules
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 It is shown, among other things, that the category of hypermodules is an exact category, thus generalizing the classical case.
A. Madanshekaf
wiley +1 more source
Recent results in hyperring and hyperfield theory
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 209-220, 1988., 1987 This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the sum of two elements is a subset of the structure. The results in this paper show that these structures cannot always be embedded in the decomposition of an ordinary structure (ring or field) in equivalence classes and that ...
Anastase Nakassis
wiley +1 more source
(weakly) (s,n)-closed hyperideals
, 2023 A multiplicative hyperring is a well-known type of algebraic hyperstructures which extend a ring to a structure in which the addition is an operation but multiplication is a hyperoperation. Let G be a commutative multiplicative hyperring and s,n \in Z^+.
Anbarloei, Mahdi
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Hopf algebras for matroids over hyperfields [PDF]
, 2018 Recently, M.~Baker and N.~Bowler introduced the notion of matroids over hyperfields as a unifying theory of various generalizations of matroids. In this paper we generalize the notion of minors and direct sums from ordinary matroids to matroids over ...
Eppolito, Chris +2 more
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