IMCS/Publications/BASM/Issues/BASM n.2-3 (18-19), 1995/

Torsion theories and dualities in Morita contexts. (English)

Authors: Caşu Alexei


The relations between the lattices of submodules in a Morita context $(R,{}_RU_S,\mathbreak {}_RV_S,S)$ are studied. Two triangular Galois theory are obtained, which supplement each other and establish the connection between the lattices $\Bbb L({}_RU)$, $\Bbb L({}_SS)$, $\Bbb L(S_S)$ and similarly between $\Bbb L({}_RU)$, $\Bbb L(V_R)$, $\Bbb L(S_S)$.

Institutul de Matematică Academia de Ştiiinţe a Moldovei
str. Academiei 5, Chişinău, MD-2028 Moldova