Algebras with radical square zero are either self-injective or CM-free
Algebras with radical square zero are either self-injective or CM-free
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DOI：
10.1090/s0002-9939-2011-10921-3
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发表时间：
2011-05
期刊：
影响因子：
--
通讯作者：
Xiao-Wu Chen
中科院分区：
文献类型：
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作者：
Xiao-Wu Chen
An artin algebra is called CM-free provided that all its finitely generated Gorenstein projective modules are projective. We show that a connected artin algebra with radical square zero is either self-injective or CM-free. As a consequence, we prove that a connected artin algebra with radical square zero is Gorenstein if and only if its valued quiver is either an oriented cycle with the trivial valuation or does not contain oriented cycles.
