Results 71 to 80 of about 748 (136)
Completely simple and regular semi hypergroups [PDF]
, 2012 In this paper the notion of simple and completely simple semi hypergroups are introduced. Basic properties of these algebraic structures are considered. Some methods for constructing new kinds of these hyperstructures are presented.
Jafarabadi, Hossein Mousa +2 more
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Looking at Two Ways of Constructing Quotient Hyper $BN$-algebras and Some Notes on Hyper $BN$-ideals
European Journal of Pure and Applied MathematicsA hyper $BN$-algebra is a nonempty set $H$ together with a hyperoperation ``$\circledast$'' and a constant $0$ such that for all $x, y, z \in H$: $x \ll x$, $x \circledast 0 = \{x\}$, and $(x \circledast y) \circledast z = (0 \circledast z) \circledast ...
Lyster Rey B. Cabardo +1 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms.
Cristea Irina, Jančić-Rašović Sanja
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Vougiouklis Contributions in the Field of Algebraic Hyperstructures
Ratio Mathematica, 2017 Thomas Vougiouklis was born in 1948, Greece. He has many contributions to algebraic hyperstructures. $H_v$-structures are some of his main contributions.
Bijan Davvaz
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Descartes' rule of signs, Newton polygons, and polynomials over hyperfields
, 2020 We develop a theory of multiplicities of roots for polynomials over hyperfields and use this to provide a unified and conceptual proof of both Descartes' rule of signs and Newton's "polygon rule".Comment: 21 pages.
Baker, Matthew, Lorscheid, Oliver
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Menger hypercompositional algebras represented by medial n-ary hyperoperations
Quasigroups and Related Systems, 2023 The necessary and sufficient conditions under which a Menger algebra can be isomorphically represented by medial n-ary operations are proposed. Since a Menger hypercompositional algebra can be regarded as a generalization of a Menger algebra, for this reason, the situation for medial hyperoperations is further examined and a representation theorem of ...
openaire +2 more sources
ALGEBRA ASTRATTA E INSEGNAMENTO
Ratio Mathematica, 1996 An example of hyperoperation on a circle has been exhibited, as a didactic application of an abstract algebra.
Luigi Cerritelli, Fabio Mercanti
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Abelization of join spaces of affine transformations of ordered field with proximity
Applied General Topology, 2005 Using groups of affine transformations of linearly ordered fields a certain construction of non-commutative join hypergroups is presented based on the criterion of reproducibility of semi-hypergroups which are determined by ordered semigroups. The aim of
Sárka Hosková
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UN IPERGRUPPO ASSOCIATO ALL’ INSIEME DELLE MATRICI QUADRATE DI ORDINE N NON SINGOLARI
Ratio Mathematica, 1996 An hyperaperation on the set of the not singular square matrices of the n-order has been assegnated. This hyperoperation induces in lhc set a structure of not commutative hypergraup.
Emma Gelsomini
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On Intra-Regular Semihypergroups Through Intuitionistic Fuzzy Sets [PDF]
, 2013 The notion of intuitionistic fuzzy sets was introduced by Atanassov as ageneralization of the notion of fuzzy sets. In this paper, using Atanassov idea, wegive some properties of intuitionistic fuzzy hyperideals and intuitionistic fuzzy bihyperidealsin a
Jani DINE, Kostaq HILA
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