Eventually Polynomial Betti Sequences over Truncated Path Algebras

  • Marju PurinEmail author
  • Sean Thompson


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.


Betti sequences Growth of resolutions 

Mathematics Subject Classification (2010)



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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.


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Statistics, and Computer ScienceSt. Olaf CollegeNorthfieldUSA
  2. 2.West RichlandUSA

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