Results 51 to 60 of about 748 (136)
A Short Note on Bands of Groups [PDF]
, 2015 In this paper we give necessary and sufficient conditions on a semigroup S that it be semilattice of groups, a normal band of groups, and a matrix of groups.DOI : http://dx.doi.org/10.22342/jims.21.1.151.19 ...
Davvaz, B. (Bijan)
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The algebraic hyperstructure of elementary particles in physical theory
, 2010 Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set ...
A Kiseleva +8 more
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, 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.
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On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups
Symmetry, 2020 We introduce the notions of neutrosophic extended triplet LA-semihypergroup, neutrosophic extended triplet LA-hypergroup, which can reflect some symmetry of hyperoperation and discuss the relationships among them and regular LA-semihypergroups, LA ...
Minghao Hu +2 more
semanticscholar +1 more source
Fuzzy Left Almost Semihyperring
Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020), 2021 The left almost semihyperring (LA) is an algebraic hyperstructure satisfying two axioms, these are the left inverse hyperoperation and the distributive axiom between multiplication and addition hyperoperation.
S. Rahman, N. Hidayat, A. Alghofari
semanticscholar +1 more source
Helix-Hopes on S-Helix Matrices
Ratio Mathematica, 2017 A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. The main characteristic of the helix-hyperoperation is that all entries of the matrices are used.
Souzana Vougioukli, Thomas Vougiouklis
doaj +1 more source
Categorical Comprehensions and Recursion
, 2015 A new categorical setting is defined in order to characterize the subrecursive classes belonging to complexity hierarchies. This is achieved by means of coercion functors over a symmetric monoidal category endowed with certain recursion schemes that ...
Boils, Joaquín Díaz
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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
wiley +1 more source
On intuitionistic fuzzy sub-hyperquasigroups of hyperquasigroups
, 2005 The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the intuitionistic fuzzification of the concept of sub-hyperquasigroups in a hyperquasigroup and investigate ...
Davvaz, Bijan +2 more
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The New Notation for Hyperoperation of a Sequence
, 2022 For a sequence a_1, a_2, ..., a_n, we define the exponent, tetration and pentation of a sequence a_n as E_{k=1}^{n} (a_k) = a_1[3]a_2[3]...[3]a_n, T_{k=1}^{n} (a_k) = a_1[4]a_2[4]...[4]a_n, Phi_{k=1}^{n} (a_k) = a_1[5]a_2[5]...[5]a_n. Also, we define the i-th hyperoperation of a sequence a_n as {H_i}_{k=1}^{n} (a_k) = a_1[i]a_2[i]...[i]a_n.
openaire +2 more sources