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Morita contexts and correspondences between lattices of submodules. (Russian)
Authors: Caşu Alexei
Abstract
The relations between the lattices of sub(bi)modules of members of an arbitrary Morita context are studied. A number of isotone maps between these lattices are defined and it is shown that on certain subsets they are lattice isomorphisms. The preradicals associated to the context are used in an essential manner.Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, MD-2028 Chişinău, Moldova
str. Academiei 5, MD-2028 Chişinău, Moldova
Contents
- Morita contexts and correspondences between lattices of submodules. (Russian)
- A theorem on union of $d$-star-shaped sets. (Russian)
- Planar point groups of tablets and hypertablets $P$-symmetries and their application to the study of multidimensional symmetry groups. (Russian)
- On the generalized Fibonacci sequence. (English)
- Idempotents and the radical with respect to a right ideal. II. (Russian)
- Concordant solutions of linear multidimensional differential equations. (Russian)
- On the completeness of topological modules free in some classes. (English)
- The principle of composition of multidimensional dynamical systems. (Russian)
- Algorithms of choice of optimal configurations in weighted digraphs. (Russian)
- The construction of a numerable collection of precomplete classes of formulae in the provability logic. (English)
- On the strong isomorphism of groups and isomorphism of $P$-symmetries. (Russian)
- Uniqueness of topologies in the case of some constructions of rings and modules. (Russian)
