Results 31 to 40 of about 89 (69)

On certain Γ-hyperideals in Γ-semihypergroups [PDF]

Journal of Hyperstructures, 2020
In this paper pseudo symmetric Γ-hyperideal in Γsemihypergroups is introduced and characterized. It is proved thatthe class of pseudo symmetric Γ-semihypergroups contains left (right) duo Γ-semihypergroups, quasi commutative Γ-semihypergroups with unity,
Ansari Safoora Samreen Jamal Abdul Nasir, Kishor Fakira Pawar   +1 more
doaj   +1 more source

Hyperideals and hypersystems in LA-hyperrings [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2017
In this paper we introduce the concept of LA-hyperrings. We explore some useful characterizations of LA-hyperrings through their hyperideals and hypersystems.
Inayatur Rehman, Naveed Yaqoob, Shah Nawaz   +2 more
doaj   +1 more source

δ-Primary Hyperideals on Commutative Hyperrings

International Journal of Mathematics and Mathematical Sciences, 2017
The purpose of this paper is to define the hyperideal expansion. Hyperideal expansion is associated with prime hyperideals and primary hyperideals. Then, we define some of their properties.
Elif Ozel Ay, Gürsel Yesilot, Deniz Sonmez   +2 more
doaj   +1 more source

Single-Valued Neutrosophic Hyperrings and Single-Valued Neutrosophic Hyperideals [PDF]

Neutrosophic Sets and Systems, 2019
In this paper, we introduced the concepts of Single-valued neutrosophic hyperring and Single-valued neutrosophic hyperideal. The algebraic properties and structural characteristics of the single-val-ued neutrosophic hyperrings and hyperideals are ...
D. Preethi, S. Rajareega, J.Vimala, Ganeshsree Selvachandran, F. Smarandache   +4 more
doaj   +1 more source

Completely Prime Hyperideals of Ternary Semihypergroups

Discussiones Mathematicae - General Algebra and Applications, 2020
In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them.
Sarala Y., Mani P. Seetha, Gulistan M., Lalitha G. Jaya   +3 more
doaj   +1 more source

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   +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

Weakly $S$-prime hyperideals [PDF]

Journal of Mahani Mathematical Research
‎‎The purpose of this paper is presenting a new expansion class, namely weakly ‎$‎n‎$‎-ary ‎$‎S‎$‎-prime hyperideals in Krasner ‎$‎(m,n)‎$‎-hyperrings. In summary, we give an extension of ‎‎$‎n$-ary $‎S‎$‎-prime hyperideals. Some results and examples are
Mahdi Anbarloei
doaj   +1 more source

n−ABSORBING I−PRIME HYPERIDEALS IN MULTIPLICATIVE HYPERRINGS [PDF]

Journal of Algebraic Systems
In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Ali Abdullah Mena, Ismael Akray
doaj   +1 more source

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
doaj   +1 more source