欧几里得组合构型:类型学、连续扩展与表示

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica Pub Date : 2022-07-01 DOI:10.56415/basm.y2022.i1.p83

A. Kashu

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引用次数: 0

摘要

研究了模块范畴中的谓词和闭包操作符。在Morita上下文$(R，\， _{\ind R}\，U_{\ind S}，\， _{\ind S}V_{\ind R}，S)$的情况下，使用函子$Hom_{\ind R}(U，\mbox{-})$和$Hom_{\ind S}(V，\mbox{-})$连接两个模块范畴$R$- mod和$S$- mod的谓词类和闭包操作符类的映射之间的一致性。

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Euclidean Combinatorial Configurations: Typology, Continuous Extensions and Representations

The preradicals and closure operators in module categories are studied. The concordance is shown between the mappings connecting the classes of preradicals and of closure operators of two module categories $R$-Mod and $S$-Mod in the case of a Morita context $(R,\, _{\ind R}\,U_{\ind S},\, _{\ind S}V_{\ind R},S)$, using the functors $Hom_{\ind R}(U,\mbox{-})$ and $Hom_{\ind S}(V,\mbox{-})$.

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

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