Displaying similar documents to “Strong no-loop conjecture for algebras with two simples and radical cube zero”

The global basie dimension of artin rings

Hagen Meltzer, Andrzej Skowroński

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CONTENTS1. Introduction.............52. Basic dimension of artin rings................73. Cobasic dimension of artin rings............84. Basic dimension of algebras stably equivalent to an hereditary artin algebra............125. Hereditary artin algebras of global basic and cobasic dimension 1....................176. Global basic and cobasic dimensions of radical squared zero algebras............34References...............43

On some Results Related to Köthe's Conjecture

Agata, Smoktunowicz (2001)

Serdica Mathematical Journal

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The Köthe conjecture states that if a ring R has no nonzero nil ideals then R has no nonzero nil one-sided ideals. Although for more than 70 years significant progress has been made, it is still open in general. In this paper we survey some results related to the Köthe conjecture as well as some equivalent problems.