On generalized derivations involving prime ideals with involution
DOI:
https://doi.org/10.3842/umzh.v75i8.7064Keywords:
Prime ideal, involution, generalized derivations, commutativityAbstract
UDC 512.5
We study the structure of the quotient A/P, where A is any ring with involution ∗ and P is a prime ideal of A. With an aim to construct a ring with involution of this kind, we study the behavior of generalized derivations satisfying the algebraic identities involving prime ideals. As a consequence, currently existing results in this field are enhanced.
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