Results 21 to 30 of about 129 (68)

Study of homoderivations on quotient near rings satisfying certain algebraic constraints

Математичні Студії
Let $N$ be a near ring and $P$, a prime ideal of $N$. In this paper, we define the notion of $P$-homoderivation in near rings. Also, we investigate the structure of quotient near ring $N/P$ via $P$-homoderivation satisfying some specific identities ...
Emine Koç Sögütcü, Inzamam ul Huque
doaj   +2 more sources

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   +4 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 $Η(r_1 r_2 )=Η(r_1 ) r_2+r_1 Η(r_2 )+Η(r_1 )Η(r_2 )$, $\forall r_1,r_2 \in R$.
Güven, Evrim
openaire   +4 more sources

On n-anti-homoderivations of Prime and Semiprime Rings

European Journal of Pure and Applied Mathematics
We present the notion of $n$-anti-homoderivations, a novel class of additive mappings on rings. Within this framework, we establish strong necessary conditions for rings' commutativity and the presence of nontrivial central ideals. Our approach not only generalizes several classical results as special cases, but also  addresses open problems concerning
M. S. Tammam El-Sayiad, Munerah Almulhem, Mahmoud M. El-Soufi   +2 more
exaly   +2 more sources

Quotient near-rings involving P -homoderivations

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica
Let N be a near-ring and P be a 3-prime ideal of N . This paper introduces a novel concept known as P-homoderivation and investigates the commutativity of the quotient near-ring N /P when N has a P-homoderivation satisfying certain distinction identities. In addition, we extend several known results related to 3-prime near-rings with homoderivations.
Boua Abdelkarim
exaly   +2 more sources

GENERALIZED SKEW HOMODERIVATIONS IN PRIME RINGS

Originating from the study of noncommutative polynomials vanishing under all substitutions from a given algebra, the classical theory of PIs has evolved into a rich framework that connects combinatorial and structural aspects of algebraic systems, with matrix algebras playing a paradigmatic role.
ANDALORO, MILENA
openaire   +2 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
openaire   +1 more source

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   +1 more source

On rings with generalized derivations [PDF]

, 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
core   +1 more source

Homoderivations and ideals in rings

, 2023
Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalı, Matematik Bilim DalıBu çalışmada homotürevler üzerine bazı sonuçlar elde edilmiştir. Başka bir ifadeyle R bir asal halka, I,R halkasının sıfırdan farklı bir ideali, h:R?R bir homotürev olmak üzere ...
Erdem, Yeşim Şahin
core   +1 more source