Titlebook: Advances in Ring Theory and Applications; WARA22, Messina, Ita Shakir Ali,Mohammad Ashraf,Nadeem ur Rehman Conference proceedings 2024 The

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Erik Cuevas,Alberto Luque,Héctor EscobarSuppose that . is a prime ring, . a nonzero ideal of ., . a generalized derivation of . and . a fixed positive integer. If .for all ., then one of the following holds: .If . and .for all ., then one of the following holds: .We examine the aforementioned identities in semiprime rings and also obtain some range inclusion results on Banach algebras.

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Gian Paolo Cimellaro Ph.D., P.E.Let . be a prime ring of characteristic not equal to 2, . be the Utumi quotient ring of ., . be the extended centroid of . and . be a non-central polynomial identity of .. Let ., . are generalized skew derivations on . such that . for all ., .. In this article, we study the complete structure of . and ..

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A Note on Multiplicative (Generalized)-Derivations and Left Sided Ideals in Semiprime Rings,Let . be a 2-torsion free semiprime ring with center .(.) and . a nonzero left sided ideal of .. Let . be multiplicative (generalized)-derivations associated with the map . (not necessarily additive nor derivation) and . be any two maps. The main goal of this article is to study identities:

FANG

On Weakly Generalized Reversible Rings,We introduce a notion of weakly generalized reversible rings as a proper generalization of generalized reversible rings. In support, we give examples. We show that every central reversible ring is an example of weakly generalized reversible ring. Also, we study some properties and characterizarions of weakly generalized reversible ring.

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