Results 1 to 10 of about 255 (98)

Topological Krasner hyperrings with special emphasis on isomorphism theorems [PDF]

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   +8 more sources

δ-primary subhypermodules on Krasner hyperrings [PDF]

Categories and General Algebraic Structures with Applications
In 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, Elif Kaya, Melis Bolat, Bayram Ersoy, Serkan Onar, Bijan Davvaz   +5 more
doaj   +6 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   +2 more sources

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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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
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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
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
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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, S. M. Anvariyeh, S. Mirvakili   +2 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, Ameri Reza, Leoreanu-Fotea Violeta   +2 more
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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