Linear maps on block upper triangular matrix algebras behaving like Jordan derivations through commutative zero products
نویسندگان
چکیده
منابع مشابه
Linear maps on von-Neumann algebras behaving like anti-derivations at orthogonal elements
This article has no abstract.
متن کاملJordan left derivations in full and upper triangular matrix rings
In this paper, left derivations and Jordan left derivations in full and upper triangular matrix rings over unital associative rings are characterized.
متن کاملJordan automorphisms, Jordan derivations of generalized triangular matrix algebra
Derivations, Jordan derivations, as well as automorphisms and Jordan automorphisms of the algebra of triangular matrices and some class of their subalgebras have been the object of active research for a long time [1, 2, 5, 6, 9, 10]. A well-know result of Herstein [11] states that every Jordan isomorphism on a prime ring of characteristic different from 2 is either an isomorphism or an anti-iso...
متن کاملOn strongly Jordan zero-product preserving maps
In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of Jordan zero-product preserving maps. In this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly Jordan zero-product preserving maps are completely different. Also, we prove that the direct p...
متن کاملDerivations and 2-local derivations on matrix algebras over commutative algebras
We characterize derivations and 2-local derivations from Mn(A) into Mn(M), n ≥ 2, where A is a unital algebra over C and M is a unital A-bimodule. We show that every derivation D : Mn(A) → Mn(M), n ≥ 2, is the sum of an inner derivation and a derivation induced by a derivation from A to M. We say that A commutes with M if am = ma for every a ∈ A and m ∈ M. If A commutes with M we prove that eve...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2020
ISSN: 1846-3886
DOI: 10.7153/oam-2020-14-15