Results 31 to 40 of about 94 (43)

Additivity of $n$-Multiplicative Mappings of Gamma Rings

, 2021
In this paper, we address the additivity of $n$-multiplicative isomorphisms and $n$-multiplicative derivations on Gamma rings. We proved that, if $\M$ is a $\Gamma$-ring satisfying the some conditions, then any $n$-multiplicative isomorphism $\left ...
Andrade, Aline Jaqueline de Oliveira, de Moraes, Gabriela Cotrim, Ferreira, Bruno Leonardo Macedo, Ferreira, Ruth Nascimento   +3 more
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Radicals and Ideals of Affine Near-semirings over Brandt Semigroups

, 2015
This work obtains all the right ideals, radicals, congruences and ideals of the affine near-semirings over Brandt semigroups.Comment: In Proceedings of the International Conference on Semigroups, Algebras and Operator Theory (ICSAOT-2014), Kochi ...
J Kumar, KV Krishna, M Zulfiqar, WG Hoorn van, WG Hoorn van   +4 more
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On topological quotient hyperrings and α*-relation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this research, we first introduce the concept of a topological Krasner hyperring and then proceed to investigate its properties. By applying relative topology to subhyperrings, we analyze the properties associated with them. In other words, the aim is
Zare A., Davvaz B.
doaj   +1 more source

γ-Lie structures in γ-prime gamma rings with derivations [PDF]

, 2015
Let $M$ be a $\gamma$-prime weak Nobusawa $\Gamma $-ring and $d\neq 0$ be a $k$-derivation of $M$ such that $k\left( \gamma \right) =0$ and $U$ be a $\gamma$-Lie ideal of $M$. In this paper, we introduce definitions of $\gamma$-subring, $\gamma$-ideal, $\
Arslan, Okan, Kandamar, Hatice
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(weakly) (s,n)-closed hyperideals

, 2023
A multiplicative hyperring is a well-known type of algebraic hyperstructures which extend a ring to a structure in which the addition is an operation but multiplication is a hyperoperation. Let G be a commutative multiplicative hyperring and s,n \in Z^+.
Anbarloei, Mahdi
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Hv-module of functions over Hv-ring of arithmetics and it’s fundamental module

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
After introducing the definition of hypergroups by Marty, the study of hyperstructures and its connections with other fields has been of great importance. In this paper, we continue the investigation between hyperstructure theory and number theory.
Al Tahan M., Davvaz B.
doaj   +1 more source

On geometrical hyperstructures of finite order [PDF]

, 2011
It is known that a concrete representation of a finite k-dimensional Projective Geometry can be given by means of marks of a Galois Field GF [p^n], denoted by PG(k, p^n).In this geometry, we define hyperoperations, which create hyperstructures of finite ...
Dramalidis, Achilles
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AN APPROACH TO SEMIHYPERMODULES OVER SEMIHYPERRINGS [PDF]

In this paper, we introduce semihypermodules over semihyperrings as a generalization of semimodules over semirings. Besides studying their properties, we introduce an equivalence relation on them and use it to define factor semihypermodules. Moreover, we
Al Tahan, Madeleine, Davvaz, Bijan
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A more general framework than the delta-primary hyperideals

, 2023
In this paper we aim to study the notion of (t,n)-absorbing delta-semiprimary hyperideal in a Krasner (m,n ...
Anbarloei, Mahdi
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Lie-Santilli admissible hyper-structures, from numbers to Hv-numbers [PDF]

The class of Hv-structures defined on a set is very big and admits a partial order. For this reason, it has a numerous of applications in mathematics and other sciences as physics, biology, linguistics, to mention but a few.
K Hila, Ruggero Santilli, T. Vougiouklis
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