On Ideals via Generalized Reverse Derivation On Factor Rings

On Ideals via Generalized Reverse Derivation On Factor Rings Zakia Z. Al-Amery, Aden University, Yemen Abstract In current article, for a prime ideal P of any ring R, we study the commutativity of the factor ring R/P, whenever R equipped with generalized reverse derivations F and G associated with reverse derivations d and g, respectively. That satisfies certain differential identities involving in P that connected to an ideal of R. Additionally, we show that, for some cases, the range of the generalized reverse derivation F or G repose in the prime ideal P. Moreover, we explore several consequences and special cases. Throughout, we provide examples to demonstrate that various restrictions in the assumptions of our outcomes are essential. Keywords prime ideal, integral domain, generalized reverse derivation, factor ring. Full Text : https://airccse.com/mathsj/papers/12325mathsj01.pdf Volume URL : https://airccse.com/mathsj/vol12.html #mathematics #linearprogramming #numericalanalysis #functionalanalysis #operationsresearch