Results 111 to 120 of about 4,914,484 (359)
Nearly generalized Jordan derivations [PDF]
Let $A$ be an algebra and let $X$ be an $A$-bimodule. A $\Bbb C-$linear mapping $d:A \to X$ is called a generalized Jordan derivation if there exists a Jordan derivation (in the usual sense) $\delta:A \to X$ such that $d(a^2)=ad(a)+\delta(a)a$ for all $a \in A.$ The main purpose of this paper to prove the Hyers-Ulam-Rassias stability and superstability
arxiv
ABSTRACT Existing research examines the relationship between personal life shocks and financial well‐being primarily through the lens of objective markers of the individual's financial situation (e.g., liquidity). Little attention has been paid to the relative roles of these objective markers and more intuitive or affect‐based factors in how an ...
Jordan Bell+2 more
wiley +1 more source
Generalized Projective product of semi-rings
The concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings.
mohd Shahoodh
doaj +1 more source
Some conditions under which derivations are zero on Banach *-algebras
Let 𝒜 be a Banach *-algebra. By 𝒮𝒜 we denote the set of all self-adjoint elements of 𝒜 and by 𝒪𝒜 we denote the set of those elements in 𝒜 which can be represented as finite real-linear combinations of mutually orthogonal projections.
Hosseini Amin
doaj +1 more source
Higher Derivations on Lie Ideals
In this paper we present a brief proof of a recently proved result [5, Corollary 1.4]. The main result states that if R is a prime ring of characteristic different of 2 and U is a Lie ideal of R where U 6½ Z(R), the center of R, u2 2 U for all u 2 U, and
C. HAETINGER
doaj +1 more source
Objective: Cancer remains a global health challenge, necessitating new therapeutic options. Phytochemicals, with diverse chemical structures and biological activities, show promise as anticancer agents. This review explores key phytochemicals, their mechanisms, and their potential integration into cancer therapy.
Alaa A. A. Aljabali+11 more
wiley +1 more source
Stability of ternary Jordan homomorphisms and derivations associated to the generalized Jensen equation [PDF]
In this paper, we establish the generalized Hyers-Ulam stability of Jordan homomorphisms and Jordan derivations between ternary algebras via the generalized Jensen equation $rf(\frac{sx+ty}{r})=sf(x)+tf(y)$.
arxiv
Jordan derivations of unital algebras with idempotents
AbstractWe consider Jordan derivations of a unital algebra A having a nontrivial idempotent. It turns out that on unital algebras there exist Jordan derivations that are not derivations. For this purpose we introduce the term a singular Jordan derivation, which is a proper Jordan derivation of the form that depends on Peirce decomposition of the unital
Nejc Širovnik, Dominik Benkovič
openaire +2 more sources
Investigation of the chemical profile and antimicrobial power of Achillea Santolina extracts ABSTRACT The study examines the chemical composition and antimicrobial properties of petroleum ether and hydro‐methanolic extracts of Achillea santolina from Algeria. Chemical profiling was performed using high‐performance liquid chromatography with diode array
Chahna Renda+7 more
wiley +1 more source
Lie and Jordan structure in prime rings with derivations [PDF]
Ram Awtar
openalex +1 more source