On the inverse operations in the class of preradicals of a module category, II 
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2020-10-07 11:26
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512.56 (30)
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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

On the inverse operations in the class of preradicals of a module category, II
 

CZU: 512.56
MSC 2010: 16D90, 16S90

Pag. 77-87

Jardan Jardan
 
Technical University of Moldova
 
 
Disponibil în IBN: 16 noiembrie 2017


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.

Cuvinte-cheie
Ring, module, lattice, Preradical, join, meet, coproduct,

left coquotient