2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78161We construct Galois theory for sublattices of certain complete modular lattices and their automorphism groups. A well-known description of the intermediate subgroups of the general linear group over a semilocal ring containing the group of diagonal matrices, due to Z.I.Borewicz and N.A.Vavilov, can be obtained as a consequence of this theory.AmsTeX, 4 pages; Translation into English from Zap. Nauchn. Semin. POMI 236 (1997), 129-132, by A. PaninGroup TheoryRings and Algebras11H56; 20E15; 20G15; 20G35; 03G10; 20E07text