Results 21 to 30 of about 14,635 (256)

Approximate Cubic ∗-Derivations on Banach ∗-Algebras

Abstract and Applied Analysis, 2012
We study the stability of cubic ∗-derivations on Banach ∗-algebras. We also prove the superstability of cubic ∗-derivations on a Banach ∗-algebra A, which is left approximately unital.
Seo Yoon Yang, Abasalt Bodaghi, Kamel Ariffin Mohd Atan   +2 more
doaj   +1 more source

Asymptotic aspect of derivations in Banach algebras

Journal of Inequalities and Applications, 2017
We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra.
Jaiok Roh, Ick-Soon Chang
doaj   +1 more source

Jordan derivations of polynomial rings

Karpatsʹkì Matematičnì Publìkacìï, 2012
We study connections between the set of Jordan derivations of a ring $R$ and the sets of Jordan derivations of a polynomial ring $R[x_1,\dots,x_n]$ and  formal power series ring $R[[x_1,\dots,x_n]]$. We also establish a condition when $JDer R$ is a left $
I. I. Lishchynsky
doaj   +1 more source

On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]

Engineering and Technology Journal, 2017
-Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
doaj   +1 more source

Non-Left-Complete Derived Categories [PDF]

Mathematical Research Letters, 2011
We give some examples of abelian categories A for which the derived category D(A) is not left-complete. Perhaps the most natural of these is where A is the category of representations of the additive group G_a over a field k of characteristic p>0.
openaire   +3 more sources

Left derivable or Jordan left derivable mappings on Banach algebras

, 2015
Let d be a linear mapping from a unital Banach algebra A into a unital left A-module M, and w in Z(A) be a left separating point of M. We show that the following three conditions are equivalent: (i) d is a Jordan left derivation; (ii) d is left derivable at w; (iii) d is Jordan left derivable at w. Let A be a Banach algebra with the property (B), and M
Ding, Yana, Li, Jiankui
openaire   +3 more sources

Left Jordan derivations on certain semirings

Hacettepe Journal of Mathematics and Statistics, 2021
We determine conditions under which a left Jordan derivation defined on an $MA$-semiring $S$ is a left derivation on this semiring and prove when a left Jordan derivation on $S$ implies the commutativity of $S$.
Yaqoub AHMED, Wieslaw DUDEK
openaire   +4 more sources

On Generalized Derivations of BCI-Algebras and Their Properties

Journal of Mathematics, 2014
We introduce the concept of (f,g)-derivations of BCI-algebras and we investigate some fundamental properties and establish some results on (f,g)-derivations.
L. Kamali Ardekani, B. Davvaz
doaj   +1 more source

Generalized Lie n-derivations on arbitrary triangular algebras

Open Mathematics, 2023
In this study, we consider generalized Lie nn-derivations of an arbitrary triangular algebra TT through the constructed triangular algebra T0{T}_{0}, where T0{T}_{0} is constructed using the notion of maximal left (right) ring of quotients.
Yuan He, Liu Zhuo
doaj   +1 more source

RESULTS ON QUOTIENT NEAR-RINGS INVOLVING ADDITIVE MAPS [PDF]

Journal of Algebraic Systems
We consider N to be a 3-prime field and P to be a prime ideal of N : In this paper, we studythe commutativity of the quotient ring N =P with left multipliers and derivations satisfying certainidentities on P, generalizing some well-known results in the ...
Abderrahmane Raji, Abdelkarim Boua, Abdelilah Zerbane   +2 more
doaj   +1 more source