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 SM ISO690:2012KASHU, A.. Closure operators in the categories of modules Part II (Hereditary and cohereditary operators). In: Algebra and Discrete Mathematics, 2013, vol. 16, pp. 81-95. ISSN 1726-3255. |
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  Algebra and Discrete Mathematics |
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| Volumul 16 / 2013 / ISSN 1726-3255 | ||||||
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| Pag. 81-95 | ||||||
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This work is a continuation of the paper [1] (Part I), in which the weakly hereditary and idempotent closure operators of the category R-Mod are described. Using the results of [1], in this part the other classes of closure operators C are characterized by the associated functions FC1 and FC2 which separate in every module M ∈ R-Mod the sets of C-dense sub-modules and C-closed submodules. This method is applied to the classes of hereditary, maximal, minimal and cohereditary closure operators. |
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| Cuvinte-cheie Closed submodule, Closure operator, Dense submodule, Hereditary (cohereditary) closure operator, module, Preradical, Ring |
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