On Ideals and Behavior of Quotient Rings via Generalized (α,β)-Derivations
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DOI: 10.3390/math13060968
Abstract: The purpose of this paper is to examine the behavior of a factor ring R/P with a partial range I of a ring R, where P is a prime ideal of R and I is… read more here.
Keywords: generalized derivations; ideals behavior; quotient rings; rings via ... See more keywords
On the Structure of Quotient Rings R/P via Identities with Multiplicative (Generalized) Derivations
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DOI: 10.3390/math13193208
Abstract: This work investigates the structure of an arbitrary ring R that contains a two-sided ideal I and a prime ideal P satisfying the condition P⊊I. Our analysis centers on the consequences of several identities that… read more here.
Keywords: generalized derivations; quotient rings; structure quotient; rings via ... See more keywords