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Idempotents and the radical with respect to a right ideal. II. (Russian)
Authors: Andrunakievich V. A., Reabuhin Iuri
Abstract
The examination of the theory of rings is continued (idempotentiality, quasiregularity, minimality) relatively to the fixed right ideal $P$, but not relatively to zero as it is usually accepted. A number of theorems, which in the case when $P=0$ turn into known results, are proved; some of them are defined more exactly. So, for example, Brauer's proposal about the minimal right ideal rings, as well as Krull's theorem about the enclosure of proper ideals of a ring with a unity in the maximal ideals are generalized and defined more precisely.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)
