Results 71 to 80 of about 251 (147)

The maximal hyperrings of quotients

open access: yes, 2020
We show that the maximal quotient hyperring Q(mr)(R) of a semiprime hyperring R can be obtained in a similar way to a maximal quotient ring. In this regard we introduce and study some basic notions of hyperrings such as dense hyperideal, essential ...
Yazarli, Hasret   +2 more
core  

Sobre Hiperideales Puros en Semihipergrupos Ordenados

open access: yes, 2021
In this paper, the notions of pure hyperideal, weakly pure hyperideal and purely prime hyperideal in ordered semihypergroups are introduced and studied.
Davvaz, Bijan, Changphas, Thawhat
core  

Multiplicative hyperring of fractions and coprime hyperideals

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
doaj   +1 more source

On generalized intuitionistic fuzzy subhyperalgebras of Boolean hyperalgebras [PDF]

open access: yes, 2013
This paper deals with a special class of hyperalgebra, called Boolean hyperalgebra, which is redefined in it. We introduce the concepts of generalized intuitionistic fuzzy subhyperalgebras and generalized intuitionistic fuzzy hyperideals of Boolean ...
Kostaq Hila   +7 more
core   +1 more source

Composition hyperrings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms.
Cristea Irina, Jančić-Rašović Sanja
doaj   +1 more source

Study of Γ -hyperrings by fuzzy hyperideals with respect to a t-norm

open access: yes, 2020
In this paper, we study the Γ -hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasihyperideal and bi-hyperideal in Γ -hyperrings and some ...
Naka, Krisanthi   +3 more
core  

Basic notions and properties of ordered semihyperrings [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2016
In this paper, we introduce the concept of semihyperring $(R,+,cdot)$ together with a suitable partial order $le$. Moreover, we introduce and study hyperideals in ordered semihyperrings. Simple ordered semihyperrings are defined and its characterizations
B. Davvaz, S. Omidi
doaj  

HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS

open access: yes, 2017
Inspired by the classical concept of height of a prime ideal in a ring, we proposed in a precedent paper the notion of height of a prime hyperideal in a Krasner hyperring.
Cristea, Irina   +2 more
core  

Semihypergroups Characterized by (∈, ∈ ∨qk)-fuzzy

open access: yes, 2013
: Generalizing the concepts of (∈, ∈ ∨q)-fuzzy hyperideal, (∈, ∈ ∨q)-fuzzy quasi-hyperideal and (∈, ∈ ∨q)-fuzzy bihyperideal, the notions of (∈, ∈ ∨qk)-fuzzy hyperideal, (∈, ∈ ∨qk)-fuzzy quasi-hyperideal and (∈, ∈ ∨qk)-fuzzy bi-hyperideal are defined ...
Tariq Mahmood, Muhammad Shabir
core  

On pure hyperideals in ordered semihypergroups

open access: yes, 2020
In this paper, the notions of pure hyperideal, weakly pure hyperideal and purely prime hyperideal in ordered semihypergroups are introduced and studied.
Davvaz, Bijan, Changphas, Thawhat
core  

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