Multiplicative Jordan derivations on triangular n-matrix rings
نویسندگان
چکیده
منابع مشابه
Jordan 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 کاملOn Jordan left derivations and generalized Jordan left derivations of matrix rings
Abstract. Let R be a 2-torsion free ring with identity. In this paper, first we prove that any Jordan left derivation (hence, any left derivation) on the full matrix ringMn(R) (n 2) is identically zero, and any generalized left derivation on this ring is a right centralizer. Next, we show that if R is also a prime ring and n 1, then any Jordan left derivation on the ring Tn(R) of all n×n uppe...
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 کاملCharacterizations of Jordan derivations on triangular rings: Additive maps Jordan derivable at idempotents
Let T be a triangular ring. An additive map δ from T into itself is said to be Jordan derivable at an element Z ∈ T if δ(A)B +Aδ(B) + δ(B)A+Bδ(A) = δ(AB+BA) for any A,B ∈ T with AB + BA = Z. An element Z ∈ T is called a Jordan all-derivable point of T if every additive map Jordan derivable at Z is a Jordan derivation. In this paper, we show that some idempotents in T are Jordan all-derivable po...
متن کاملon jordan left derivations and generalized jordan left derivations of matrix rings
abstract. let r be a 2-torsion free ring with identity. in this paper, first we prove that any jordan left derivation (hence, any left derivation) on the full matrix ringmn(r) (n 2) is identically zero, and any generalized left derivation on this ring is a right centralizer. next, we show that if r is also a prime ring and n 1, then any jordan left derivation on the ring tn(r) of all n×n up...
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ژورنال
عنوان ژورنال: ScienceAsia
سال: 2020
ISSN: 1513-1874
DOI: 10.2306/scienceasia1513-1874.2020.088