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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Nonunimodality of graded Gorenstein Artin algebras
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by Mats Boij and Dan Laksov PDF
Proc. Amer. Math. Soc. 120 (1994), 1083-1092 Request permission

Abstract:

We give an explicit expression for the Hilbert function of a large class of graded Gorenstein Artin algebras and give a criterion for this function to be unimodal. As a result we obtain an abundance of graded Gorenstein Artin algebras with nonunimodal Hilbert function.
References
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 1083-1092
  • MSC: Primary 13D40; Secondary 13E10, 13H10
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1227512-2
  • MathSciNet review: 1227512