Authors: Caşu Alexei
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.
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