RO EN
On some bijections between ideals, classes of modules and preradicals of R-mod.
Authors: Caşu Alexei
is accompanied by two preradicals (r(I), r(I)) and three classes of modules (τI, A(I), FI). Modifying the condition on I, the reactions of associated objects are investigated. A series of bijections is obtained between ideals with suitable properties, classes of modules closed under some constructions and preradicals of special types. This general scheme joins together some known results, which are supplemented by conditions on classes, filters etc.
Abstract
The three-sided relations are studied between the ideals of ring R, classes of R-modules and preradicals of the category R-Mod. Every ideal is accompanied by two preradicals (r(I), r(I)) and three classes of modules (τI, A(I), FI). Modifying the condition on I, the reactions of associated objects are investigated. A series of bijections is obtained between ideals with suitable properties, classes of modules closed under some constructions and preradicals of special types. This general scheme joins together some known results, which are supplemented by conditions on classes, filters etc.
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Contents
- Spaces, mappings and compact subsets.
- Theory of simple and multiple antisymmetry - a survey.
- Global pullback attractors of ℜ-analytic cocycles.
- Solution of the problem of the centre for cubic differential system with three invariant straight lines two of which are parallel.
- One-dimensional model of gas combustion.
- Remainders of some spaces.
- On the semisimple classes of left hereditary radicals.
- On some bijections between ideals, classes of modules and preradicals of R-mod.
- Topologies on functional spaces.
- Loops transversals in Sb to Stab(Sn) and coordinatizations of projective planes.
