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Abstract
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Let
be a monomial ring whose minimal free resolution
is rooted. We describe
an
–algebra structure on
. Using this structure, we
show that
is Golod if and
only if the product on
vanishes. Furthermore, we give a necessary and sufficient combinatorial condition for
to be
Golod.
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Keywords
Golod ring, Poincaré series, A-infinity algebra, Massey
products
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Mathematical Subject Classification 2010
Primary: 13D07, 13D40, 16E45, 55S30
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Publication
Received: 11 October 2017
Revised: 16 April 2018
Accepted: 16 June 2018
Published: 18 October 2018
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