Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
484 0 |
SM ISO690:2012 KASHU, A.. Adjoint functors, preradicals and closure operators in module categories. In: Algebra and Discrete Mathematics, 2019, vol. 28, pp. 260-277. ISSN 1726-3255. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Algebra and Discrete Mathematics | ||||||
Volumul 28 / 2019 / ISSN 1726-3255 | ||||||
|
||||||
Pag. 260-277 | ||||||
|
||||||
Descarcă PDF | ||||||
Rezumat | ||||||
In this article preradicals and closure operators are studied in an adjoint situation, defined by two covariant functors between the module categories R-Mod and S-Mod. The mappings which determine the relationship between the classes of preradicals and the classes of closure operators of these categories are investigated. The goal of research is to elucidate the concordance (compatibility) of these mappings. For that some combinations of them, consisting of four mappings, are considered and the commuta-tivity of corresponding diagrams (squares) is studied. The obtained results show the connection between considered mappings in adjoint situation. |
||||||
Cuvinte-cheie adjoint functors, Category of modulesclosure operator, Lattice of submodules, natural transformation, Preradical |
||||||
|