Results 51 to 60 of about 411 (135)
Fundamental relation on m-idempotent hyperrings
Open Mathematics, 2017 The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called εm∗$\varepsilon^{*}_{m}
Norouzi Morteza, Cristea Irina
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Note on Isomorphism Theorems of Hyperrings
International Journal of Mathematics and Mathematical Sciences, 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, Arjunan Asokkumar
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A Note on the Local Observability of Uniform Hypergraphs
PAMM, Volume 25, Issue 1, March 2025.ABSTRACT Hypergraphs generalize graphs in such a way that edges may connect any number of nodes. If all edges are adjacent to the same number of nodes, the hypergraph is called uniform. Thus, a graph is a 2‐uniform hypergraph. Each uniform hypergraph can be identified with an autonomous dynamical state‐space system, whose vector field is composed of ...
Daniel Gerbet, Klaus Röbenack
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On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings [PDF]
Neutrosophic Sets and Systems, 2014 A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H.
A.A.A. Agboola, B. Davvaz
doaj
Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring [PDF]
Journal of Hyperstructures, 2015 We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties.
Md Salim Masud Molla +2 more
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Small, Volume 20, Issue 46, November 14, 2024.This study highlights the enhanced fluorescence and photostability of a specialized azo‐foldamer (cis‐F1) featuring a chromophore/linker/β‐peptide sequence in its aggregated state. Biological assays reveal a self‐sacrificial mechanism in cis‐F1 microdots, preserving fluorescence post‐injection.
Lianjin Zhang +11 more
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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
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δ-primary subhypermodules on Krasner hyperrings [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero unital hypermodules. We introduce a new concept, the $\delta$-primary subhypermodule on Krasner hyperrings.
Kostaq Hila +5 more
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Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
Journal of Mathematics, Volume 2024, Issue 1, 2024.We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın +2 more
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Hyper Homomorphism and Hyper Product of Hyper UP-algebras
European Journal of Pure and Applied Mathematics, 2020 In this paper, we investigate the concept of regular congruence relation on hyper UP-algebras and establish some homomorphism theorems on such algebras. We also examine the notion of hyper product of hyper UP-algebras.
Rohaima M. Amairanto, Rowena Isla
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