Results 11 to 20 of about 411 (135)
On Refined Neutrosophic Hyperrings [PDF]
Neutrosophic Sets and Systems, 2021 This paper presents the refinement of a type of neutrosophic hyperring in which +’ and ·’ are hyperoperations and studied some of its properties. Several interesting results and examples are presented.
M.A. Ibrahim +3 more
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Normal hyperideals in Krasner (m, n)-hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Using a new definition, with respect to [21], for normal hyperideals in Krasner (m, n)-hyperrings, we show that the corresponding quotient structures are (m, n)-rings.
Norouzi Morteza +2 more
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Retracted: Topological Structures of Lower and Upper Rough Subsets in a Hyperring [PDF]
, 2023 Journal of Mathematics, Volume 2023, Issue 1, 2023.
Journal of Mathematics
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Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Comput Intell Neurosci, 2022 The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Zhou H +5 more
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OVER THE CONSTRUCTION OF AN HYPERSTRUCTURE OF QUOTIENTS FOR A MULTIPLICATIIVE HYPERRING
Ratio Mathematica, 1997 In this paper we construct a weak hyperfield of quotients for a class of multiplicative hyperrings.
R. Procesi, R. Rota
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δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to Ï-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity.
Peng Xu +5 more
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The Reducibility Concept in General Hyperrings
Mathematics, 2021 By using three equivalence relations, we characterize the behaviour of the elements in a hypercompositional structure. With respect to a hyperoperation, some elements play specific roles: their hypercomposition with all the elements of the carrier set ...
Irina Cristea, Milica Kankaraš
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Direct Limit of Krasner (m, n)-Hyperrings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2020 The purpose of this paper is the study of direct limits in category of Krasner (m, n)-hyperrings. In this regards we introduce and study direct limit of a direct system in category (m, n)-hyperrings.
Reza Ameri, Ameneh Asadi
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ON STRONGLY ASSOCIATIVE HYPERRINGS [PDF]
Journal of Algebraic Systems, 2019 This paper generalizes the idea of strongly associative hyperoperation introduced in [7] to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS.
Fatemeh Arabpur, Morteza Jafarpour
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A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS [PDF]
Journal of Algebraic Systems, 2020 In this paper, we extend the notion of 2-absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by introducing 2-absorbing hyperideals.
L. Kamali Ardekani, B. Davvaz
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