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On natural and conatural sets of left ideals of a ring.
Authors: Caşu Alexei
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Abstract
The natural and conatural sets of left ideals of a ring R are defined by analogy with natural and conatural classes of left R-modules [4, 5]. Some characterizations and properties of such sets are indicated. The lattices of natural sets R-Nat and of conatural sets R-Conat of R are treated as skeletons of more wide lattices of closed and coclosed sets. In particular, R-Nat and R-Conat are boolean lattices.E-mail:
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Contents
- Properties of accessible subrings of topological rings when taking quotient rings.
- Identities with permutations associated with quasigroups isotopic to groups.
- On natural and conatural sets of left ideals of a ring.
- Locicaly separable algebras in varieties of algebras.
- On definitions of groupoids closely connected with quasigroups.
- Radicals of Morita rings revisited.
- Isomorphism of the factor powers of finite groups.
- On torsionfree LCA groups with commutative rings of continuous endomorphisms.
- Crossed-inverse-property groupoids.
- An abstract approach to the study of derivation mappings on non-commutative rings.
- Quasivarieties of Commutative Solvable Moufang loops.
- On description of some radical filters of noetherian rings.
