The Galois theory for a class of modular the complete lattices
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 129-132
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A Galois theory for a class of the complete modular lattices is constructed. The known description of the intermediate subgroups of the full linear group over a semilocal ring, containing the group of diagonal matrices, can be deduced from the proved results.
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