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 757 2 |
| Ultima descărcare din IBN: 2017-11-20 10:20 |
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| 004.4+512.56+519.6 (1) |
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 SM ISO690:2012KASHU, A.. Pretorsions in modules and associated closure operators. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 2(84), pp. 24-41. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2(84) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 004.4+512.56+519.6 | ||||||
| MSC 2010: 16D90, 16S90, 06B23 | ||||||
| Pag. 24-41 | ||||||
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This article contains the results on the pretorsions of the module category R-Mod and on the closure operators defined by them. The pretorsions of R-Mod can be described in diverse forms: by classes of modules, filters of left ideals of R, closure operators, dense submodules, etc. In the set PT of pretorsions of R-Mod the main operations are studied, as well as their expressions in terms of classes of modules, filters, operators, etc. The approximations of pretorsions by jansian pretorsions and by torsions are mentioned. |
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| Cuvinte-cheie pretorsion, torsion, Closure operator, (pre)radical filter, torsion class, torsionfree class, jansian pretorsion |
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