WebOct 26, 2024 · Let 𝒦 {\mathcal{K}} be a generalized derivation of ℜ {\Re} related with derivation μ of ℜ {\Re} . If 𝒦 {\mathcal{K ... W. S. Martindale, III, Prime rings satisfying a … WebIn [2, Corollary 4.1] M. Ashraf and S. Ali studied commutativity in prime near-rings with a nonzero derivation dfor which d([x;y]) = 0 for all x;y2N. Thereby, A. Raji et al. in [9, Theorem 3] proved the same result in the setting of a semigroup ideal of a 3-prime near-ring admitting a semiderivation. Our second

Shakir ALI Professor Ph.D. Aligarh Muslim University, …

WebDec 1, 2024 · Theorem 2. Let (R,*) be a prime ring of characteristic different from two with involution of the second kind. Suppose that d and \delta are a pair of derivations R such … WebFeb 11, 2008 · The nth prime is about n log n, the nth semiprime is about n log n / log log n. There are about n / log n primes up to n, and about n log log n / log n semiprimes up to n. For P_3, numbers with exactly 3 prime factors, the density is 2n log n / (log log n)^2. I can't remember off the top of my head (!) how that generalizes. frangos tzakia

Generalized derivations of order $2$ on multilinear polynomials in ...

WebKey words: prime ring, generalized skew derivation, Martindale ring of quotient, extended centroid. 1. INTRODUCTION In what follows Ris a semi(-prime) ring with the center Z(R), … WebWe introduce the definitions of g-derivations and generalized g-derivations on a ring R.The main objective of the paper is to describe the structure of a prime ring R in which g … WebApr 11, 2024 · More precisely, they proved that there is no nonzero derivation on prime ring R which acts as a homomorphism or ... Some generalized identities on prime rings and their application for the solution of annihilating and centralizing problems. Quaestiones Mathematicae 45, 267–305 (2024) Article MathSciNet MATH Google Scholar ... frange amazon