Eventually Polynomial Betti Sequences over Truncated Path Algebras

Abstract

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.

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Acknowledgements

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.

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Correspondence to Marju Purin.

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Presented by: Peter Littelmann

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Purin, M., Thompson, S. Eventually Polynomial Betti Sequences over Truncated Path Algebras. Algebr Represent Theor 23, 1601–1608 (2020). https://doi.org/10.1007/s10468-019-09907-2

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Keywords

  • Betti sequences
  • Growth of resolutions

Mathematics Subject Classification (2010)

  • 16E05