Morita contexts and closure operators in modules
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2019-09-24 16:49
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512.552+512.553+512.56 (2)
Algebra (400)
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KASHU, A.. Morita contexts and closure operators in modules. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 1(89), pp. 109-122. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(89) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322

Morita contexts and closure operators in modules

CZU: 512.552+512.553+512.56
MSC 2010: 16D10, 16D90, 16S90, 06A15.

Pag. 109-122

Kashu A.
 
Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
 
Disponibil în IBN: 16 august 2019


Rezumat

The relations between the classes of closure operators of two module categories R-Mod and S-Mod are studied in the case when an arbitrary Morita context (R, R US, SVR, S) is given. By the functors HomR(U, -) and HomS(V, -) two mappings are defined between the closure operators of these categories. Basic properties of these mappings are investigated.

Cuvinte-cheie
functor, natural transformation, Morita context, closure operator