Eventually Polynomial Betti Sequences over Truncated Path Algebras
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We study projective resolutions of finitely generated modules over finite-dimensional algebras. We show that every polynomial with integer coefficients and a positive leading term can be eventually realized by a Betti sequence of a simple module over a radn = 0 algebra.
KeywordsBetti sequences Growth of resolutions
Mathematics Subject Classification (2010)16E05
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This work was conducted while the second named author was a student at St. Olaf College. The authors would like to thank the college for supporting this project.