Syzygy pairs in a monomial algebra

Igusa, Kiyoshi; Zacharia, Dan

doi:10.1090/S0002-9939-1990-1031675-8

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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Syzygy pairs in a monomial algebra
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by Kiyoshi Igusa and Dan Zacharia

Proc. Amer. Math. Soc. 108 (1990), 601-604

DOI: https://doi.org/10.1090/S0002-9939-1990-1031675-8

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Abstract:

In this paper we construct the set of "syzygy pairs" of a finite-dimensional monomial algebra and use it to prove the following theorem.

References

E. L. Green, D. Happel, and D. Zacharia, Projective resolutions over Artin algebras with zero relations, Illinois J. Math. 29 (1985), no. 1, 180–190. MR 769766
Edward L. Green, Ellen Kirkman, and James Kuzmanovich, Finitistic dimensions of finite-dimensional monomial algebras, J. Algebra 136 (1991), no. 1, 37–50. MR 1085118, DOI 10.1016/0021-8693(91)90062-D