Reverse lex ideals |
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Authors: | Jennifer Biermann |
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Institution: | Department of Mathematics, Cornell University, Ithaca, NY 14853, USA |
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Abstract: | We study reverse lex ideals in a polynomial ring, and compare their properties to those of lex ideals. In particular we provide an analogue of Green's Theorem for reverse lex ideals. We also compare the Betti numbers of strongly stable and square-free strongly stable monomial ideals to those of reverse lex ideals. |
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