关于长度函数与精确Sylvester秩函数的关系

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2019-01-01 DOI:10.1515/taa-2019-0006

Simone Virili

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引用次数: 4

摘要

摘要受Crawley Boevey关于局部有限呈现Grothendieck范畴中的可加函数的工作的启发，我们描述了一种将给定环R上有限呈现左模范畴上的给定精确Sylvester秩函数扩展到所有左R模范畴的自然方法。

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On the relation between length functions and exact Sylvester rank functions

Abstract Inspired by the work of Crawley-Boevey on additive functions in locally finitely presented Grothendieck categories, we describe a natural way to extend a given exact Sylvester rank function on the category of finitely presented left modules over a given ring R, to the category of all left R-modules.

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks