Results 61 to 70 of about 141 (99)

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

Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

Mathematics, 2023
In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings.
Ergül Türkmen, Burcu Nişancı Türkmen, Öznur Kulak   +2 more
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HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]

Journal of Algebraic Systems, 2019
An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
doaj   +1 more source

Hyper RL-ideals in hyper residuated lattices

Discussiones Mathematicae - General Algebra and Applications, 2022
In this paper, we introduce the notion of a (strong) hyper RL-ideal in hyper residuated lattices and give some properties and characterizations of them. Next, we characterize the (strong) hyper RL-ideals generated by a subset and give some characterizations of the lattice of these hyper RL-ideals.
openaire   +2 more sources

Complementary multiplicative hyperrings

Discrete Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PROCESI, Rita, ROTA R.
openaire   +3 more sources

Recent results in hyperring and hyperfield theory

International Journal of Mathematics and Mathematical Sciences, 1988
This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the “sum” of two elements is a subset of the structure.
Anastase Nakassis
doaj   +1 more source

Superring of Polynomials over a Hyperring

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.
Reza Ameri, Mansour Eyvazi, Sarka Hoskova-Mayerova   +2 more
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

Vague soft hypermodules; connections with soft hypermodules and homomorphisms [PDF]

Journal of Hyperstructures
In this paper, the notion of vague soft hypermodules is introduced, which is an extension of the notions of vague soft hypergroups and vague soft hyperrings.
Tahere Nozari, Morteza Norouzi
doaj   +1 more source

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