Reduced rings and modules arising from Morita contexts
International Journal of Algebra, vol.16, no.3, pp.97-108, 2022 (Peer-Reviewed Journal)
- Publication Type: Article / Article
- Volume: 16 Issue: 3
- Publication Date: 2022
- Doi Number: 10.12988/ija.2022.91725
- Journal Name: International Journal of Algebra
- Page Numbers: pp.97-108
- Yıldız Technical University Affiliated: Yes
Abstract
In this paper, we study the reduced rings arising from Morita context
M(A, B) = (A, M, N, B, ϕ, ψ). Necessary and sufficient conditions are
investigated for the Morita ring R to be reduced. In particular, the
reduced modules over Morita context rings are characterized.