The representation dimension of a selfinjective algebra of euclidean type

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• 作者：Ibrahim Assem^a ; ^{ibrahim.assem@usherbrooke.ca" class="auth_mail" title="E-mail the corresponding author} ; Andrzej Skowroński^b ; ^{skowron@mat.uni.torun.pl" class="auth_mail" title="E-mail the corresponding author} ; Sonia Trepode^c ; ^{strepode@mdp.edu.ar" class="auth_mail" title="E-mail the corresponding author}
• 关键词：16G60 ; 18G20 ; 16G70 ; 16G20
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 August 2016
• 年：2016
• 卷：459
• 期：Complete
• 页码：157-188
• 全文大小：616 K

文摘

We prove that the representation dimension of a selfinjective algebra of euclidean type is equal to three, and give an explicit construction of the Auslander generator of its module category.