Results 11 to 20 of about 255 (98)
Exact category of hypermodules [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 It is shown, among other things, that the category of hypermodules is an exact category, thus generalizing the classical case.
A. Madanshekaf
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$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2021 This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r-hyperideals in commutative Krasner hyperrings. Some properties of pr-hyperideals are also studied. The relation between prime hyperideals and r-hyperideals is investigated. We show that the image and the inverse image of an r-
Xu, Peng +5 more
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CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER [PDF]
Facta Universitatis, Series: Mathematics and InformaticsIn this article, we investigate the distributability of the binary operation of monoids with zero compared to the hyperoperation of canonical hypergroups of order 2 and 3with the help of analytical and algebraic methods and without using computer calculations.
Saeed Mirvakili +2 more
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Hyperideals of (Finite) General Hyperrings [PDF]
Mathematics Interdisciplinary Research, 2021 A general hyperring is an algebraic hypercompositional system (R,+,·) with two hyperoperations ”+" and ” · ”, such that for all x,y ∈ R, x + y and x · y are non-empty subsets of R, and R satisfies the axioms similar to a ring.
Reza Ameri +2 more
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Classes of $F$-hyperideals In A Krasner $F^{(m,n)}$-Hyperring [PDF]
Journal of Mahani Mathematical Research, 2023 Krasner $F^{(m,n)}$-hyperrings were introduced and investigated by Farshi and Davvaz. In this paper, our purpose is to define and characterize three particular classes of $F$-hyperideals in a Krasner $F^{(m,n)}$-hyperring, namely prime $F ...
Mahdi Anbarloei
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Fuzzy Krasner \((m,n)\)-hyperrings. [PDF]
Computers & Mathematics with Applications, 2010 Typical results on fuzzy sets are extended to \((m,n)\)-hyperrings which are a generalization of \((m,n)\)-rings studied by \textit{G. Crombez} [Abh. Math. Semin. Univ. Hamb. 37, 180-199 (1972; Zbl 0247.08001)].
Ostadhadi-Dehkordi, S., Davvaz, B.
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On quotient clean hyperring [PDF]
Journal of Hyperstructures, 2015 In this paper, we introduce the notion of quotient Krasner hyperrings and prove that if I is a normal ideal of Krasner hyperring (R, +, ·), then quotient clean Krasner hyperring considered in [1] by Talebi et. al are just clean rings.
S. Ostadhadi-Dehkord
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On 1‐Absorbing Prime Hyperideal and Some of Its Generalizations
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the concept of 1‐absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided. For example, it is proved that if a strong C‐hyperideal I of R is 1‐absorbing prime that is not prime, then R is a local multiplicative hyperring.
M. Anbarloei +1 more
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[Retracted] Roughness in Hypervector Spaces
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah +3 more
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2‐Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
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