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Torsion theories and dualities in Morita contexts. (English)
Authors: Caşu Alexei
Abstract
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
str. Academiei 5, Chişinău, MD-2028 Moldova
Contents
- Global attractors of infinite-dimensional dynamical systems. III. (Russian)
- Bounded semidirect products of topological algebras. (Romanian)
- Topological rings with linearly compact open subrings. (English)
- Two-dimensional point groups of hypercrystallographic $P$-symmetries and their multidimensional applications. (Russian)
- On the convexity of an objective function in some optimization problems on a tree. (Romanian)
- Bounded subsets in some topological rings. (English)
- Torsion theories and dualities in Morita contexts. (English)
- Complete quadratic systems with a dicritical node. (Russian)
- On the number and types of basis comitants of a differential system with fourth-order homogeneous right-hand sides. (Russian)
- On properties, asymptotic with respect to extension, of points of topological transformation semigroups. (Russian)
- The repartition of multiplicity between four infinite singular points of cubic differential system. (English)
- Embedding of a topological group as a quasicomponent into another group in a variety of abelian groups. (Russian)
- Finiteness of eigenvalues of self-adjoint integro-differential operators. (English)
- Affine invariant conditions for topologically distinguishing quadratic systems without finite critical points. (English)
