2023•arXiv (Cornell University)Open access

Additivity of multiplicative (generalized) skew semi-derivations on rings

Sk Aziz, Ghosh, Arindam, Om Prakash

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Abstract

In this paper, we introduce a new class of derivations that generalizes skew derivations and semi-derivations, and we call it ``skew semi-derivation". Further, we present a study of the conditions under which this type of multiplicative derivation becomes additive.

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What this paper is about

In this paper, we introduce a new class of derivations that generalizes skew derivations and semi-derivations, and we call it ``skew semi-derivation". Further, we present a study of the conditions under which this type of multiplicative derivation becomes additive.

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Available abstract

In this paper, we introduce a new class of derivations that generalizes skew derivations and semi-derivations, and we call it ``skew semi-derivation". Further, we present a study of the conditions under which this type of multiplicative derivation becomes additive.

Key concepts: Skew, Multiplicative function, Additive function, Mathematics, Class (philosophy), Pure mathematics, Algebra over a field, Computer science

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