Reduced rings and modules arising from Morita contexts

Kausar N.

International Journal of Algebra, vol.16, no.3, pp.97-108, 2022 (Peer-Reviewed Journal)


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.