Derivations Whose Iterates are Zero or Invertible On a Left Ideal
نویسندگان
چکیده
منابع مشابه
On 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...
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متن کاملOn generalized left (alpha, beta)-derivations in rings
Let $R$ be a 2-torsion free ring and $U$ be a square closed Lie ideal of $R$. Suppose that $alpha, beta$ are automorphisms of $R$. An additive mapping $delta: R longrightarrow R$ is said to be a Jordan left $(alpha,beta)$-derivation of $R$ if $delta(x^2)=alpha(x)delta(x)+beta(x)delta(x)$ holds for all $xin R$. In this paper it is established that if $R$ admits an additive mapping $G : Rlongrigh...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 1994
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-1994-018-7