Zero-Power Valued Mappings with Dependent Element of Associative Rings

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Let R` be a semi prime rings. An additive mapping L: R`→R` is called a zero-power valued on V over L is preserving V and if for each p belongs to V, that’s meaning, there exists a positive integer n(p) > 1 such that L^(n(p))(p) = 0. The main purpose of this article is to study the notion of an additive mapping which is named zero-power valued mapping with dependent element of a semi prime ring. As a factual information, we deliver some results concerning that.