Abstract
We construct a noncoherent initial ideal of an ideal in the exterior algebra of order \(6\), answering a question of Maclagan (2000). We also give a method for constructing noncoherent initial ideals in exterior algebras using certain noncoherent term orders.
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Acknowledgments
During the course of this work, the first author received support from a University of Auckland Scholarship, a Freemasons Postgraduate Scholarship, and a University of Illinois Departmental Fellowship. The authors are especially grateful to an anonymous referee whose suggestions greatly simplified the proof of Theorem 1.
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Searles, D., Slinko, A. Noncoherent initial ideals in exterior algebras. Beitr Algebra Geom 56, 759–762 (2015). https://doi.org/10.1007/s13366-015-0239-5
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DOI: https://doi.org/10.1007/s13366-015-0239-5