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 SM ISO690:2012KASHU, A.. On natural and conatural sets of left ideals of a ring. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, nr. 2(54), pp. 25-32. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(54) / 2007 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 25-32 | ||||||
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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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| Cuvinte-cheie (co)natural class of modules, (co)natural set of left ideals, boolean lattice. |
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