Results 61 to 70 of about 167 (122)

Multiplicative hyperring of fractions and coprime hyperideals

Analele 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

Composition hyperrings

Analele 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

Basic notions and properties of ordered semihyperrings [PDF]

Categories 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  

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.
Mahdi Anbarloei
doaj   +1 more source

Classes of fuzzy hyperideals

Filomat, 2016
In this paper we study fuzzy hyperideals of a fuzzy hyperring, we define and analyze two particular kinds of fuzzy hyperideals, which extend similar notions of ring context, namely prime fuzzy hyperideals and maximal fuzzy hyperideals. Moreover, we study the hyperideal transfer through a fuzzy hyperring homomorphism, particularly for prime ...
Maedeh Motameni, Violeta Leoreanu-Fotea, Reza Ameri   +2 more
openaire   +2 more sources

Fuzzy Almost Hyperideals and Fuzzy Almost Quasi-Hyperideals in Semihypergroups

Kragujevac Journal of Mathematics
Studying fuzzy hyperideals is necessary for comprehending semihypergroups. The idea of fuzzy hyperideals is expanded upon by several concepts. The notion of almost fuzzy hyperideals is one of them. In this article, we first define the notions of fuzzy almost hyperideals and fuzzy almost quasi-hyperideals in semihypergroups. We investigate the fundamental
NAREUPANAT LEKKOKSUNG, THITI GAKETEM
openaire   +1 more source

Int-Soft Interior Hyperideals of Ordered Semihypergroups

International Journal of Analysis and Applications, 2017
The main theme of this paper is to study ordered semihypergroups in the context of int-soft interior hyperideals. In this paper, the notion of int-soft interior hyperideals are studied and their related properties are discussed.
Asghar Khan, Muhammad Farooq, Bijan Davvaz   +2 more
doaj   +2 more sources

On Pure Hyperradical in Semihypergroups

International Journal of Mathematics and Mathematical Sciences, 2012
This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element.
Kostaq Hila, Krisanthi Naka
doaj   +1 more source

C-Γ-hyperideal Theory in Ordered Γ-semihypergroups

Journal of Mathematical and Fundamental Sciences, 2017
Our purpose in this article is to characterize the properties of C-Γ-hyperideals in ordered Γ-semihypergroups. As an application of the results of this paper, the corresponding results of ordered semihypergroups can also be obtained by moderate ...
Saber Omidi , Bijan Davvaz
doaj   +1 more source

Characterizations of regular and intra-regular ordered $\Gamma$-semihypergroups in terms of bi-$\Gamma$-hyperideals

Karpatsʹkì Matematičnì Publìkacìï, 2019
The concept of $\Gamma$-semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of $\Gamma$-semigroups.
S. Omidi, B. Davvaz, K. Hila
doaj   +1 more source