Results 1 to 10 of about 67 (63)

The associated hyperringoid to a Krasner hyperring

Journal of Taibah University for Science, 2018
“Ends Lemma” is used to construct a hypergroupoid from a (quasi) partially ordered groupoid. But this lemma does not work well for creating a hyperringoid from a (partially) ordered ringoid.
Seid Mohammad Anvariyeh, Hakimeh Mirabdollahi, S Mirvakili   +2 more
exaly   +2 more sources

Superring of Polynomials over a Hyperring

Mathematics, 2019
A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the addition is multivalued and the multiplication is as usual single valued and satisfies the usual ring properties.
Reza Ameri, Mansour Eyvazi, Sárka Hoskova-Mayerova   +2 more
exaly   +3 more sources

On Weakly S ‐Primary Hyperideals in a Krasner ( m , n )‐Hyperring

Journal of Mathematics
Over the years, numerous extensions of the concept of prime hyperideals in a hyperring have been presented by utilizing different algebraic structures associated with the hyperring.

exaly   +2 more sources

Semi-derivation on prime hyperrings [PDF]

Journal of Hyperstructures, 2023
In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them.We intro-duce the concept of generalized semi-derivation in Krasner hyper-ring and present some examples.Then, we derive some properties of semi ...
Nikhil D. Sonone, Kishor F. Pawar
doaj   +1 more source

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, Mohammad Hamidi, Hoda Mohammadi   +2 more
doaj   +1 more source

On hyperideals of Krasner hyperrings based on derived unitary rings [PDF]

Journal of Mahani Mathematical Research, 2022
In this paper first, we introduce and analyze the strongly regular relations $\lambda^*_{e}$ and $\Lambda^*_{e}$ on a hyperring such that the derived quotient ring is unitary and unitary commutative, respectively. Next, we define and study the notion of $
Seyed Shahin Mousavi, Morteza Jafarpour, Hojat Babaei, Irina Cristea   +3 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

Topological Krasner hyperrings with special emphasis on isomorphism theorems

Applied General Topology, 2022
Krasner hyperring is one of the generalizations of the classical ring in literature. In this paper, the notion of topological Krasner hyperring is introduced as a generalization of topological ring and variant of isomorphism theorems are ...
Manooranjan Singha, Kousik Das
doaj   +1 more source

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
doaj   +1 more source

ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan, Elif Kaya, Melis Bolat, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Hasan Dinçer   +6 more
wiley   +1 more source