Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
DEMONSTRATE MATHEMATICAVol. XXXIXNo 22006Joso VukmanIDENTITIES WITH PRODUCTS OF (<*,/?)-DERIVATIONSON PRIME RINGSAbstract. The main purpose of this paper is to prove the following result. Let R bea noncommutative prime ring of characteristic different from two and let D and G / 0 be(a, /3)-derivations of R into itself such that G commutes with a and ¡3. If [D(x), G(x)] = 0holds for all x € R then D = AG where A is an element from the extended centroid of R.This research has been motivated by the work of Chaudhry, Sammanand Thaheem [9,10,11,15] and is a continuation of our earlier work [16].Throughout, R is an associative ring with center Z(R). As usual we write[a;, y] for xy—yx and make use of the commutator identities [xy, z] = [x, z]y+x\y, z], [x, yz] = [x, y]z + y[x, z]. We denote by I the identity mapping of aring R. Recall that a ring R is prime if for a,b G R, aRb = (0) implies thateither a = 0 or b = 0, and is semiprime in case aRa = (0) implies thata = 0. For explanation of the extended centroid C(R) of a semiprime ringR we refer to [1]. An
Demonstratio Mathematica – de Gruyter
Published: Apr 1, 2006
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.