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Bull. Korean Math. Soc. 2021; 58(6): 1327-1340

Online first article November 2, 2021      Printed November 30, 2021

https://doi.org/10.4134/BKMS.b200689

Copyright © The Korean Mathematical Society.

Hereditary and semihereditary representations of quivers

Driss Bennis, Adnane Roudi

Faculty of Sciences; Faculty of Sciences

Abstract

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In this paper, we investigate hereditary and semihereditary representations of quivers over an arbitrary ring. As consequences hereditary and semihereditary category of representations of quivers over an arbitrary ring are characterized.

Keywords: Hereditary representations, semihereditary representations, hereditary category of representations, semihereditary category of representations

MSC numbers: Primary 16G20, 16D40, 16D90, 16S50, 16B50

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