Baer–Kaplansky Theorem for Modules over Non-commutative Algebras

Gabriella D'Este; Derya Keskİn Tütüncü

doi:10.5666/KMJ.2021.61.2.213

Article

Kyungpook Mathematical Journal 2021; 61(2): 213-222

Published online June 30, 2021

Baer–Kaplansky Theorem for Modules over Non-commutative Algebras

Gabriella D'Este, Derya Keskİn Tütüncü^*

Department of Mathematics, Milano University, Milano, Italy
e-mail: gabriella.deste@unimi.it

Department of Mathematics, Hacettepe University, 06800 Beytepe, Ankara, Turkey
e-mail : keskin@hacettepe.edu.tr

Received: December 3, 2019; Revised: November 30, 2020; Accepted: December 14, 2020

Abstract

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Abstract

In this paper we investigate the Baer-Kaplansky theorem for module classes on algebras of finite representation types over a field. To do this we construct finite dimensional quiver algebras over any field.

Keywords: Baer-Kaplansky theorem, quivers and representations