Results 61 to 70 of about 149 (104)

Strongly transitive geometric spaces associated to hypermodules

, 2009
In this paper, we use the strongly regular θ∗-relation on hypermodules (with canonical hypergroup) over a given Krasner hyperring. In this way, we consider the fundamental relation θ∗ defined on a hypermodule and prove some results in this respect. Also,
Anvariyeh, S.M., Davvaz, B.
core   +1 more source

CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER

Facta Universitatis, Series: Mathematics and Informatics
In this article, we investigate the distributability of the binary operation of monoids with zero compared to the hyperoperation of canonical hypergroups of order 2 and 3with the help of analytical and algebraic methods and without using computer calculations.
Saeed Mirvakili, Kazem Hamidizadeh, Rauofeh Manaviyat   +2 more
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Multiplication $(m,n)$-hypermodules

, 2022
The concept of multiplication $(m,n)$-hypermodules was introduced by Ameri and Norouzi in \cite{sorc2}. Here we intend to investigate extensively the multiplication $(m,n)$-hypermodules.
Anbarloei, M.
core  

Krasner (m,n)-hyperring of fractions

, 2022
The formation of rings of fractions and the associated process of localization are the most important technical tools in commutative algebra. Krasner (m,n)-hyperrings are a generalization of (m,n)-ring. Let R be a commutative Krasner (m,n)-hyperring.
openaire   +2 more sources

The algebraic continuous and discrete in constructing research tools and processing data in education

, 2017
Hyperstructures is a relatively new field in the area of Mathematics, given that only in 1934 Frederic Marty introduced this topic at the 8th Congress of Scandenavian Mathematicians, with his paper: “Sur une generalisation de la notion de groupe”, where ...
Nikolaidou, Pipina, Νικολαΐδου, Πιπίνα   +1 more
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Quantales and Hyperstructures [PDF]

, 2016
We present a theory of lattice-enriched semirings, called \emph{quantic semirings}, which generalize both quantales and powersets of hyperrings. Using these structures, we show how to recover the spectrum of a Krasner hyperring (and in particular, a ...
Dudzik, Andrew Joseph
core  

Spectral hyperspaces of Krasner hyperrings

The purpose of this note is to prove that the hyperspaces of proper hyperideals of Krasner hyperrings are spectral.
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$r$-Підгіпермодулі над гіпермодулями Краснера

In this study, we introduce the notion of $r$-subhypermodule of an $\mathcal{R}$-hypermodule, where $\mathcal{R}$ is a commutative Krasner hyperring. A proper subhypermodule $N$ of $M$ is said to be an $r$-subhypermodule if $a\cdot m\in N$ with $ann_{M ...
Kaya, E., Bolat, M., Onar, S., Hila, K., Ersoy, B.A., ERSOY, Bayram Ali, ONAR, Serkan   +6 more
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$\phi$-$\delta$-Primary Hyperideals in Krasner Hyperrings

, 2021
In this paper, we study commutative Krasner hyperring with nonzero identity. $\phi$-prime, $\phi$-primary and $\phi$-$\delta$-primary hyperideals are introduced. We intend to extend the concept of $\delta$-primary hyperideals to $\phi$-$\delta$-primary hyperideals. We give some characterizations of hyperideals to classify them. We denote the set of all
Kaya, Elif, Bolat, Melis, Onar, Serkan, Ersoy, Bayram Ali, Hila, Kostaq   +4 more
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A RADICAL PROPERTY OF KRASNER TERNARY HYPERRINGS [PDF]

International Journal of Pure and Apllied Mathematics, 2015
J.R. Castillo, J.P. Vilela
openaire   +1 more source