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arXiv · 1802.04175

On monomial algebras having the double centraliser property

Rene Marczinzik
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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.

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Rene Marczinzik. 2018-02-12. On monomial algebras having the double centraliser property. https://arxiv.org/abs/1802.04175

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