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| Ultima descărcare din IBN: 2021-03-26 00:15 |
 SM ISO690:2012KASHU, A.. Closure operators in modules and adjoint functors, I. In: Algebra and Discrete Mathematics, 2018, vol. 25, pp. 98-117. ISSN 1726-3255. |
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  Algebra and Discrete Mathematics |
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| Volumul 25 / 2018 / ISSN 1726-3255 | ||||||
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| Pag. 98-117 | ||||||
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In the present work the relations between the closure operators of two module categories are investigated in the case when the given categories are connected by two covariant adjoint functors H: R-Mod → S-Mod and T: S-Mod → R-Mod. Two mappings are defined which ensure the transition between the closure operators of categories R-Mod and S-Mod. Some important properties of these mappings are proved. It is shown that the studied mappings are compatible with the order relations and with the main operations. |
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| Cuvinte-cheie adjoint functors, Category of modules, Closure operator, Lattice operations |
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