On $\mathcal{F}$-cosmall morphisms

Berke Kalebog̃az, D. Keskin Tütüncü
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引用次数: 1

Abstract

In this paper, we first define the notion of $\mathcal{F}$-cosmall quotient for an additive exact substructure $\mathcal{F}$ of an exact structure $\mathcal{E}$ in an additive category $\mathcal{A}$. We show that every $\mathcal{F}$-cosmall quotient is right minimal in some cases. We also give the definition of $\mathcal{F}$-superfluous quotient and we relate it the approximation of modules. As an application, we investigate our results in a pure-exact substructure $\mathcal{F}$.
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关于$\mathcal{F}$-同胚态射
在本文中,我们首先定义了精确结构$\mathcal{E}$在可加范畴$\mathcal{A}$中的可加精确子结构$\math{F}$的$\mathical{F}$-cosmall商的概念。我们证明了在某些情况下,每一个$\mathcal{F}$-cosmall商都是右极小的。我们还给出了$\mathcal{F}$-多余商的定义,并将其与模的近似联系起来。作为一个应用,我们研究了纯精确子结构$\mathcal{F}$中的结果。
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