arXiv:2008.10044 Abstract | arXiv Analytics

arXiv:2008.10044 [math.RT]Abstract References Reviews Resources

The finitistic dimension of a Nakayama algebra

Published 2020-08-23Version 1

If A is an artin algebra, G\'elinas has introduced the delooping level of A as an interesting upper bound for the finitistic dimension of A. We assert that for any Nakayama algebra A the finitistic dimension of A is equal to the delooping level. This yields also a new proof that the finitistic dimension of A and its opposite algebra are equal, as shown quite recently by Sen.

Categories: math.RT

Keywords: finitistic dimension, nakayama algebra, delooping level, artin algebra, interesting upper bound

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