Department of Mathematics, College of Education, Al-Mustansiriyah University, Baghdad, Iraq.
10.22080/cjms.2024.24100.1630
Abstract
In this paper, we introduce the definition of (σ, τ ) − e-reversible ring. Precisely, take R is a e-reversible ring such that σ and τ are automorphism mappings of R, we named R is (σ, τ ) − e-reversible ring if σ(x)τ (y) = 0 leads to τ (y)σ(x)e = 0, where x, y ∈ R. In fact, we seek and characterize the various properties of (σ, τ )-e-reversible rings.