The Gabriel–Roiter Measure for Right Pure Semisimple Rings |
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| Authors: | Nguyen Viet Dung Daniel Simson |
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| Institution: | (1) Department of Mathematics, Ohio University-Zanesville, Zanesville, OH 43701, USA;(2) Faculty of Mathematics and Informatics, N. Copernicus University, 87-100 Toruń, Poland |
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| Abstract: | We show how the Gabriel–Roiter measure, introduced by Ringel in (Bull Sci Math 129:726–748, 2005 and Contemp Math 406:105–135, 2006), applies to indecomposable modules of finite length over right pure semisimple rings, and in particular to the study of
the open problem whether any right pure semisimple ring is of finite representation type.
Dedicated to the memory of Andrey Vladimirovich Roiter. Professor A. V. Roiter has died on 26 July 2006 in Riga, Latvia. He
was born in 1937. |
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| Keywords: | Right pure semisimple ring Finite representation type Gabriel– Roiter measure Auslander– Reiten quiver Preprojective module Preinjective module |
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