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512.56 (30) |
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SM ISO690:2012 JARDAN, Jardan. On the inverse operations in the class of preradicals of a module category, II . In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 2(84), pp. 77-87. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(84) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.56 | ||||||
MSC 2010: 16D90, 16S90 | ||||||
Pag. 77-87 | ||||||
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Rezumat | ||||||
In the present work a new operation, called left coquotient with respect to meet, in the class of preradicals PR of the category R-Mod of left R-modules is defined and investigated. It is dual to the studied earlier left quotient with respect to join [2]. Main properties of this operation and relations with lattice operations in PR are shown. Connections with some constructions in the large complete lattice PR are studied and some particular cases are mentioned. |
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Cuvinte-cheie Ring, module, lattice, Preradical, join, meet, coproduct, left coquotient |
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