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On monomial algebras having the double centraliser property

Year: 2018
Type: preprint
Abstract: Let $A$ be a finite dimensional algebra having the double centraliser property with respect to a minimal faithful projective-injective left module $Af$ for some idempotent $f$. We prove that in this case $A$ is a monomial algebra if and only if $A$ is a Nakayama algebra given by quiver and relations.
Language: English
Open Access status: green
OpenAlex ID: W2787353472
Cites: 7
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Related to: 10