Search
Search Results
-
Commutativity of \(\sigma \) -Prime Rings with Generalized Derivation
The main purpose of this paper is to work on commutativity of \( \sigma \)...
-
Approximation of generalized derivation in quasi-Banach algebras
Motivated by the notion of the Hyers–Ulam stability, we will first study the stability problem of a certain class of functional inequalities...
-
Central Power Values of Generalized Derivation and Structure of Unital Banach Algebra
The structure of a prime Banach algebra \(\mathfrak {A}\)...
-
Generalized Skew Derivation of Order 2 in Prime Ring with Multilinear Polynomial
Let \(\mathcal {R}\) be a prime ring of characteristic not...
-
A Class of Generalized Derivations
We consider a class of generalized derivations that arise in connection with the problem of adjoining unity to an algebra with generalized...
-
Results on b-Generalized Derivations in Rings
This paper studies various identities of noncommutative prime rings involving b-generalized derivations. In particular, we prove that if a...
-
Generalized Lie Triple Derivations of Trivial Extension Algebras
In this article, we give the structure of generalized Lie triple derivations of trivial extension algebras and prove that under certain appropriate...
-
The Noncommutative Singer-Wermer Conjecture and Generalized Skew Derivations
The noncommutative Singer-Wermer conjecture states that every linear derivation on a noncommutative Banach algebra maps into its Jacobson radical....
-
Lie Bialgebra Structure of Derivation Lie Algebra over Quantum Torus
In this paper, all Lie bialgebra structures on the derivation Lie algebra W over a rank d ≥ 3 quantum torus associated to q are considered, where q ...
-
A Note on \(\textrm{b}\) -Generalized Skew Derivations on Prime Rings
Let \(\mathcal {R}\) be a prime ring with a characteristic...
-
b-Generalized Derivations on Prime Rings
Let R be a prime ring with center Z ( R ) , right Martindale quotient ring Q, and extended centroid C. A b -generalized derivation is defined as an...
-
A Commutativity Condition for Semiprime Rings with Generalized Skew Derivations
Let R be a semiprime ring of characteristic different from 2, Z(R) its center, Q its right Martindale quotient ring, C its extended centroid, F a...
-
Generalized Skew Derivations with Periodic Values on Lie Ideals
Let R be a prime non commutative ring, L a noncentral Lie ideal of R, \(\alpha \)...
-
On generalized cyclotomic derivations
In this article, we study the field of rational constants and Darboux polynomials of a generalized cyclotomic K -derivation d of K [ X ]. It is shown...
-
Commutativity Theorems on Prime Rings with Generalized Derivations
Suppose that \(\mathcal {R}\) is a prime ring,...
-
A Note on Multiplicative (Generalized)-Derivations and Left Sided Ideals in Semiprime Rings
Let R be a 2-torsion free semiprime ring with center Z(R) and \(\lambda \)...
-
On the derivations, generalized derivations and ternary derivations of degree n
In this paper, we introduce the concepts of derivation of degree n , generalized derivation of degree n and ternary derivation of degree n , where n is...