Work

Factor Rings with Algebraic Identities via Generalized Derivations

Year: 2024

Type: article

Abstract: The current article focuses on studying the behavior of a ring ℜ/Π when ℜ admits generalized derivations Ψ and Ω with associated derivations ϕ and δ, respectively. These derivations satisfy specific differential identities involving Π, where Π is a prime ideal of an arbitrary ring ℜ, not necessarily prime or semiprime. Furthermore, we explore some consequences of our findings. To emphasize the necessity of the primeness of Π in the hypotheses of our various theorems, we provide a list of examples.

Source: Axioms

DOI: 10.3390/axioms14010015

Authors: Ali Yahya Hummdi, Zakia Z. Al-Amery, Radwan M. Al-omary

Institutions: King Khalid University, University of Aden, Ibb University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: King Khalid University