Additive Functions and Chain Complexes of Projective Modules

We study additive functions given on a category of finitely generated projective modules. Using these functions, we define p-minimal epimorphisms and give a necessary and sufficient condition for their existence. We prove results concerning the structure of p-minimal chains of projective modules.

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Bibliographic Details
Date:2004
Main Authors: Sharko, V. V., Шарко, В. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3747
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We study additive functions given on a category of finitely generated projective modules. Using these functions, we define p-minimal epimorphisms and give a necessary and sufficient condition for their existence. We prove results concerning the structure of p-minimal chains of projective modules.