Results 31 to 40 of about 109 (59)
Congruence classes and extensions of rings with an application to braces [PDF]
, 2020 Two observations in support of the thesis that trusses are inherent in ring theory are made. First, it is shown that every equivalence class of a congruence relation on a ring or, equivalently, any element of the quotient of a ring R by an ideal I is a ...
Bernard Rybolowicz, Tomasz Brzezinski
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Isotopic Form of M-Rings [PDF]
, 2014 The aim of this work is to generalize the notion of isofields by presenting the notion of Misorings. A method for constructing new M-isorings is presented.
Keyhaninejad, A., Molaei, M. R.
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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 +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 +4 more
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On topological quotient hyperrings and α*-relation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn 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.
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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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Hv-module of functions over Hv-ring of arithmetics and it’s fundamental module
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaAfter 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.
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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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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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