Closure operators in modules and adjoint functors, II
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2019-02-02 21:31
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512.66+517.98 (1)
Algebră (410)
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)
SM ISO690:2012
KASHU, A.. Closure operators in modules and adjoint functors, II. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 2(87), pp. 101-112. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(87) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322

Closure operators in modules and adjoint functors, II

CZU: 512.66+517.98
MSC 2010: 16D90, 16S90, 16A40.

Pag. 101-112

Kashu A.
 
Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
 
Disponibil în IBN: 2 decembrie 2018


Rezumat

In this work we study the relations between the closure operators of two module categories connected by two adjoint contravariant functors. The present article is a continuation of the paper [1] (Part I), where the same question is investigated in the case of two adjoint covariant functors. An arbitrary bimodule RUS defines a pair of adjoint contravariant functors H1 = HomR(-,U) : R-Mod ! Mod-S and H2 = HomS(-,U) : Mod-S ! R-Mod with two associated natural transformations _ : R-Mod ! H2H1 and           : Mod-S ! H1H2. In this situation we study the connections between the closure operators of the categories R-Mod and Mod-S

Cuvinte-cheie
Category of modules, Closure operator, adjoint functors, contravariant functor.