Results 1 to 10 of about 52 (52)

Divisible hypermodules

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
The article is motivated by the recently published studies on injective and projective hypermodules. We present here a new characterization of the normal injective hypermodules. First we define the concept of zero-divisors over a hypermodule and based on
Bordbar Hashem, Cristea Irina
doaj   +1 more source

On geometric polygroups

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper, we introduce a geodesic metric space called generalized Cayley graph (gCay(P,S)) on a finitely generated polygroup. We define a hyperaction of polygroup on gCayley graph and give some properties of this hyperaction.
Arabpur F.   +3 more
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Almost principal ideals and tensor product of hyperlattices

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, by considering the notion of congruences on hyper- lattices we define almost principal ideals on hyperlattices. We investigate some properties and prove some results about them.
Lashkenari A. Soltani, Davvaz B.
doaj   +1 more source

Hyperideal theory in ordered Krasner hyperrings

open access: yesAnalele 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

Construction of composition (m, n, k)-hyperrings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, our aim is to introduce the notion of a composition (m, n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m, n, k) hyperrings which is a generalization of composition rings and composition ...
Davvaz B.   +2 more
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Hypergroups associated with HX-groups

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We have already studied a correspondence between HX-groups and hypergroups. Now we extend this correspondence to semigroups of sub- sets of a group G (and to begin, we considered ℤ2 × ℤ3 as group G). Moreover these subsets can have non empty intersection,
Corsini Piergiulio
doaj   +1 more source

HX-groups and Hypergroups

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
One considers the hypergroups associated with the HX-groups Z=nZ and with the set of square matrices of order 2, with coefficients in Z=2Z and one calculates their fuzzy grade.
Corsini Piergiulio
doaj   +1 more source

Isomorphism theorems of fuzzy hypermodules

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we define and study a new class of subfuzzy hypermodules of a fuzzy hypermodule that we call normal subfuzzy hypermodules. The connection between hypermodules and fuzzy hypermodules can be used as a tool for proving results in fuzzy ...
Norouzi Morteza, Leoreanu-Fotea Violeta
doaj   +1 more source

Normal hyperideals in Krasner (m, n)-hyperrings

open access: yesAnalele 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   +2 more
doaj   +1 more source

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

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