两个不同环上的广义模的范畴

Al-Nahrain Journal of Science Pub Date : 2023-03-01 DOI:10.22401/anjs.26.1.06

Tariq Z.Al-Killabi, Hassan J. Al-Hwaeer, Ali A.Al-Butahi

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引用次数: 0

摘要

本文给出了在广义模CR= (modR,Ab)的范畴上形成一个封闭对称半单面结构的富范畴论方法。进一步，构造了定义在两个可交换点R和S上的一类新的广义模范畴，表示为CRS = (modR,modS)。最后，作者研究了这类范畴的一个定位，这两个范畴都是格罗滕迪克范畴

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Category of Generalized Modules Over Two Different Rings

In this paper,a method of enriched category theory to form a closed symmetricmonoidal structure on the category of generalized modules CR= (modR,Ab) have been implemented. Further, a new kind of generalized module category defined on two commutativerings R and S, denoted by CRS = (modR,modS) is constructed.Finally, the authors studied a localization on this type of categories, both of them are Grothendieck

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Al-Nahrain Journal of Science

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