Reduced rings and modules arising from Morita contexts

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Copy For Citation

Kausar N.

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.