Results 1 to 10 of about 149 (104)
Superring of Polynomials over a Hyperring [PDF]
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.
R Ameri +2 more
exaly +10 more sources
The associated hyperringoid to a Krasner hyperring [PDF]
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.
H Mirabdollahi +2 more
exaly +5 more sources
Fuzzy Krasner (m,n)-hyperrings [PDF]
Computers and 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)].
Bijan Davvaz
exaly +6 more sources
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 +3 more
doaj +3 more sources
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
doaj +3 more sources
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
doaj +3 more sources
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 +3 more sources
Hyperideal theory in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
doaj +2 more sources
δ-primary subhypermodules on Krasner hyperrings [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero unital hypermodules. We introduce a new concept, the $\delta$-primary subhypermodule on Krasner hyperrings.
Kostaq Hila +5 more
doaj +4 more sources
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
doaj +2 more sources