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Eventually Polynomial Betti Sequences over Truncated Path Algebras

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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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Authors and Affiliations

  1. Department of Mathematics, Statistics, and Computer Science, St. Olaf College, Northfield, MN, 55057, USA

    Marju Purin

  2. 6000 Blackwood St., West Richland, WA, 99353, USA

    Sean Thompson

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  1. Marju Purin
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  2. Sean Thompson
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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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  • DOI: https://doi.org/10.1007/s10468-019-09907-2

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