Results 11 to 20 of about 72 (43)

On zero-power valued homoderivations in 3-prime near-rings

Boletim da Sociedade Paranaense de Matemática, 2022
We will start this article by proving a crucial concept, which will allow us to overcome a set of obstacles we encountered in previous articles concerning the commutativity of near-ring involving homoderivations and Jordan ideals. Furthermore, we present examples to show that limitations imposed in the hypothesis of our results are necessary.
Adel En-guady, Samir Mouhssine, Abdelkarim Boua   +2 more
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Lie right ideals and homoderivations in 3-Prime Near-Ring

Boletim da Sociedade Paranaense de Matemática
In this article, we study the structure of a near-rings N involving a homoderivations satisfying certain constraints on a nonzero Lie right ideal of near ...
Abdelkarim Boua, Oznur Golbasi, Samir Mouhssine   +2 more
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SEMIPRIME IDEALS AND P−COMMUTING HOMODERIVATIONS ON IDEALS [PDF]

Facta Universitatis, Series: Mathematics and Informatics
The first purpose of this article is to examine the structure of an S=Pquotient ring, where S is any ring and P is the semiprime ideal of S. More specifically,we look at differential identities in the semiprime ideal of an arbitrary ring using theP-commuting homoderivations.
Bedir, Zeliha
openaire   +3 more sources

The commutativity of prime rings with homoderivations

International Journal of ADVANCED AND APPLIED SCIENCES, 2018
E. F. Alharfie, N. M. Muthana
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Remarks on the notion of homo-derivations [PDF]

, 2020
The purpose of this paper is to study the (different) notions of homo-derivations. These are additive mappings f of a ring R that also fulfill the identity f(xy)=f(x)y+xf(y)+f(x)f(y)(x,y∈R), or (in case of the other notion) the system of equations f ...
Gselmann, Eszter, Kiss, Gergely
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Reverse Homoderivations on (Semi)-prime Rings

Journal of the Indonesian Mathematical Society
In this paper, we explore and examine a new class of maps known as reverse homoderivations. A reverse homoderivation refers to an additive map g defined on a ring T that satisfies the condition, g(ϑℓ)=g(ℓ)g(ϑ)+g(ℓ)ϑ+ℓg(ϑ), for all ϑ,ℓ∈T. We present various results that enhance our understanding of reverse homoderivations, including their existence in ...
Shakir Ali, Naira Noor Rafiquee, Vaishali Varshney, Outdom Dy   +3 more
openaire   +1 more source

NIL DERIVATIONS AND d-IDEALS ON POLYNOMIAL RINGS [PDF]

Let  be a ring. An additive mapping  is called derivation if  satisfies Leibniz's rule, i.e.,   for every   In a special case, for each  there exists a positive integer  which depends on  such that , then
Faisol, Ahmad, Fitriani, Fitriani, Mursyidah, Ditha Lathifatul, Utami, Bernadhita Herindri Samodera   +3 more
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On centrally-extended Jordan endomorophisms in rings

, 2023
The aim of this article is to introduce the concept of centrally-extended Jordan endomorphisms and proving that if $R$ is a non-commutative prime ring of characteristic not two, and $G$ is a CE- Jordan epimorphism such that $[G(x), x] \in Z(R)$ ($[G(x ...
Gouda, Aziza, Nabiel, H.
core  

Homoderivations and Their Impact on Lie Ideals in Prime Rings

Natural and Applied Sciences Journal, 2023
Assume we have a prime ring denoted as $R$, with a characteristic distinct from two. The concept of a homoderivation refers to an additive map $Η$ of a ring $R$ that satisfies the property $Η(r_1 r_2 )=Η(r_1 ) r_2+r_1 Η(r_2 )+Η(r_1 )Η(r_2 )$, $\forall r_1,r_2 \in R$.
openaire   +3 more sources

On rings with generalized derivations

, 2023
Dört bölümden oluşan bu çalışmanın ilk iki bölümü giriş ve ön bilgileri içermektedir. Bu tez çalışması üç ana bölümden oluşmaktadır. İlk bölümde, bir halkanın tek yanlı genelleştirilmiş (α,β)-ters türev kavramı verilmiştir.
Engin, Ayşe
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