جستجوی مقالات مرتبط با کلیدواژه « derivation » در نشریات گروه « علوم »
تکرار جستجوی کلیدواژه «derivation» در نشریات گروه «علوم پایه»-
Iranian Journal of science and Technology (A: Siences), Volume:39 Issue: 4, Autumn 2015, PP 521 -525A polynomial 1 2 (,, ,) n f X X X is called multilinear if it is homogeneous and linear in every one of its variables. In the present paper our objective is to prove the followingResultLet R be a prime K-algebra over a commutative ring K with unity and let 1 2 (,, ,) n f X X X be a multilinear polynomial over K. Suppose that d is a nonzero derivation on R such that 1 2 1 2 (,, ,) (,, ,) s t df x x x n f x x xn for all 1 2 ,, , n x x x R, where s,t are fixed positive integers. Then 1 2 (,, ,) n f X X X is central-valued on R . We also examine the case R which is a semiprime K-algebra.Keywords: Prime, semiprime rings, ideal, derivation, GPIs}
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Iranian Journal of science and Technology (A: Siences), Volume:39 Issue: 1, Winter 2015, PP 101 -111In this paper, we introduce the notion of derivation on Krasner hyperrings as follows: the function d: R R is a derivation on a Krasner hyperring R if for all x, y Ry x ) () (=) (y d x d y x d and d (x y) d (x) y x d (y). Then, we investigate some fundamental properties of derivation on Krasner hyperings and prime Krasner hyperrings. Also, we introduce differential Krasner hyperingsand discuss some related properties.Keywords: Krasner hyperring, prime Krasner hyperring, hyperideal, derivation, differential hyperring}
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Iranian Journal of science and Technology (A: Siences), Volume:38 Issue: 2, Spring 2014, PP 111 -115Let be a Banach algebra and a derivation. In this paper, it is proved, under certain conditions, that, where is the Jacobson radical of. Moreover, we prove that if is unital and is a continuous derivation, then, where denotes the set of all primitive ideals such that is commutative, denotes the set of all maximal (modular) ideals such that is commutative, and is the set of all non-zero multiplicative linear functionals from into. In addition, we present several results about the range of a derivation on algebras having the property ().Keywords: Derivation, derivation generator, pre, prime ideal, zero prime, property (B)}
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Let be a Banach algebra. Let be linear mappings on. First we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple Banach algebras, in certain case. Afterwards we define a new vocabulary called “-higher double derivation” and present a relation between this subject and derivations and finally give some theorems and corollaries about the automatic continuity of this notion.Keywords: Derivation, (), Derivation, Double derivation, Higher double derivation}
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Let be a unital algebra over a field of characteristic zero. We show that every derivation from Mn (A) into its dual Mn (A)* is the sum of an inner derivation and a derivation induced by a derivation from A into A*.Keywords: Derivation, full matrix algebra, dual space}
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