Results 11 to 20 of about 117 (54)

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
core   +6 more sources

The commutativity of prime rings with homoderivations [PDF]

International Journal of ADVANCED AND APPLIED SCIENCES, 2018
E. F. Alharfie, N. M. Muthana
core   +3 more sources

Lie right ideals in 3-prime near-rings with generalized homoderivations

Afrika Matematika
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boua, Abdelkarim, Zerbane, Abdlilah, Gölbaşi, Öznur   +2 more
core   +4 more sources

Jordan homoderivation behavior of generalized derivations in prime rings

Ukrains’kyi Matematychnyi Zhurnal, 2023
UDC 512.5 Suppose that R is a prime ring with c h a r ( R ) ≠ 2 and f ( ξ 1 , … , ξ n ) is a noncentral multilinear polynomial over C ( = Z ( U ) ) , where U is the Utumi quotient ring of R .
Bera, Nripendu, Dhara, Basudeb
  +4 more sources

HOMODERIVATIONS OF s-PRIME G-RINGS

Advances in Mathematics: Scientific Journal, 2020
Sh. K. Said Husain, K. K. Dey
core   +3 more sources

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 $Η(r_1 r_2 )=Η(r_1 ) r_2+r_1 Η(r_2 )+Η(r_1 )Η(r_2 )$, $\forall r_1,r_2 \in R$.
Evrim Güven
openaire   +5 more sources

On $(\Phi , m)$-homoderivations in Rings

European Journal of Pure and Applied Mathematics
In this article, we examine the commutativity of a ring $\Omega$ endowed with a specific kind of mappings called centrally extended $(\Phi, m)$-homoderivations, where $\Phi$ is a mapping on $\Omega$, and $m$ is an integer.  This mapping is a comprehensive kind of the homoderivation, $\Phi- $homoderivation, and $ m $-homoderivation.  Besides, we provide
Mahmoud M. EL-Soufi, Munerah Almulhem, M. S. Tammam EL-Sayiad   +2 more
openaire   +3 more sources

Homoderivations and semigroup ideals in 3-prime near-rings [PDF]

, 2021
Summary: This paper studies homoderivations satisfying certain conditions on semigroup ideals of near-rings. In addition, we include some examples of the necessity of the hypotheses used in our results.
Mouhssine, Samir, Boua, Abdelkarim
openaire   +3 more sources

Centrally-extended homoderivations on rings

Gulf Journal of Mathematics, 2016
Let R be a ring with center Z(R). A mapping H from R into itself is called a centrally-extended homoderivation on R if for each x, y ∈ R, H(x+y) - H(x) - H(y) ∈ Z(R) and H(xy) - H(x)H(y)- H(x)y - xH(y) ∈ Z(R). We present examples of mappings that are centrally-extended homoderivations but not homoderivations.
Asmaa Melaibari, Najat Muthana, Ahmad Al-Kenani   +2 more
openaire   +3 more sources

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   +3 more sources