Results 11 to 20 of about 196 (109)
Contribution to study special kinds of hyperideals in ordered semihyperrings
Journal of Taibah University for Science, 2017 In the present paper, we introduce the notion of k-hyperideals on ordered semihyperrings. Then, we investigate some fundamental properties of k-hyperideals of ordered semihyperrings.
S. Omidi, B. Davvaz
doaj +3 more sources
Regular Parameter Elements and Regular Local Hyperrings
Mathematics, 2021 Inspired by the concept of regular local rings in classical algebra, in this article we initiate the study of the regular parameter elements in a commutative local Noetherian hyperring.
Hashem Bordbar, Irina Cristea
doaj +3 more sources
Some Properties of Multiplicative
Algebra, Volume 2014, Issue 1, 2014., 2014 The set of all polynomials Rx, over a multiplicative hyperring R, +, ·, form a commutative group with respect to the component-wise addition (+) of the polynomials.
Utpal Dasgupta
core +3 more sources
Rough prime bi-Γ-hyperideals and fuzzy prime bi- Γ-hyperideals of Γ-semihypergroups
Filomat, 2017 Davvaz (2008) introduced the concept of set‐valued homomorphism and T‐rough sets in a group. In this paper, we consider the set‐valued homomorphism T on Γ‐semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m, n) bi‐Γ‐hyperideals and (m, n) quasi‐Γ‐hyperideals in terms of set‐valued homomorphisms, which are ...
Naveed Yaqoob +3 more
openaire +3 more sources
(Weakly) $(\alpha,\beta)$-prime hyperideals in commutative multiplicative hypeering
Let $H$ be a commutative multiplicative hyperring and $\alpha, \beta \in \mathbb{Z}^+$. A proper hyperideal $P$ of $H$ is called (weakly) $(\alpha,\beta)$-prime if $x^\alpha \circ y \subseteq P$ for $x,y \in H$ implies $x^\beta \subseteq P$ or $y \in P$.
Anbarloei, Mahdi
core +2 more sources
Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2023 In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved.
Mohammad Hamoda
doaj +1 more source
On certain Γ-hyperideals in Γ-semihypergroups [PDF]
Journal of Hyperstructures, 2020 In this paper pseudo symmetric Γ-hyperideal in Γsemihypergroups is introduced and characterized. It is proved thatthe class of pseudo symmetric Γ-semihypergroups contains left (right) duo Γ-semihypergroups, quasi commutative Γ-semihypergroups with unity,
Ansari Safoora Samreen Jamal Abdul Nasir +1 more
doaj +1 more source
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
doaj +1 more source
A relative version of the Turaev–Viro invariants and the volume of hyperbolic polyhedral 3‐manifolds
Journal of Topology, Volume 16, Issue 2, Page 650-678, June 2023., 2023 Abstract We define a relative version of the Turaev–Viro invariants for an ideally triangulated compact 3‐manifold with nonempty boundary and a coloring on the edges, generalizing the Turaev–Viro invariants [36] of the manifold. We also propose the volume conjecture for these invariants whose asymptotic behavior is related to the volume of the manifold
Tian Yang
wiley +1 more source
A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah +2 more
wiley +1 more source