Results 41 to 50 of about 398 (137)
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
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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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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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On Fuzzy Ordered Hyperideals in Ordered Semihyperrings
Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019 In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi‐hyperideal is a fuzzy ordered bi‐hyperideal, and, in a regular ...
O. Kazancı +3 more
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Atomistic subsemirings of the lattice of subspaces of an algebra
, 2012 Let A be an associative algebra with identity over a field k. An atomistic subsemiring R of the lattice of subspaces of A, endowed with the natural product, is a subsemiring which is a closed atomistic sublattice.
Corsini P. +6 more
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Rough Hyperfilters in Po‐LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 This paper concerns the study of hyperfilters of ordered LA‐semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA‐semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it.
Ferdaous Bouaziz +2 more
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On (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 The concept of (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated. We study the relations between different (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup. Furthermore, we study some results on homomorphisms of (∈, ∈∨qk)‐fuzzy hyperideals.
Muhammad Azhar +4 more
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, 2019 . We develop the global period map in the context of derived geometry, generalising Griffiths' classical period map as well as the infinitesimal derived period map. We begin by constructing the derived period domain which classifies Hodge filtrations and
Di Natale, Carmelo +1 more
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Derived moduli of complexes and derived Grassmannians [PDF]
, 2015 In the first part of this paper we construct a model structure for the category of filtered cochain complexes of modules over some commutative ring $R$ and explain how the classical Rees construction relates this to the usual projective model structure ...
Di Natale, Carmelo
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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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