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- W4300767251 abstract "It has been shown previously that a large class of monomial maps equivariant under the action of an infinite symmetric group have finitely generated kernels up to the symmetric action. We prove that these symmetric toric ideals also have finite Grobner bases up to symmetry for certain monomial orders. An algorithm is presented for computing equivariant Grobner bases that terminates whenever a finite basis exists, improving on previous algorithms that only guaranteed termination in rings Noetherian up to symmetry. This algorithm can be used to compute equivariant Grobner bases of the above toric ideals, given the monomial map." @default.
- W4300767251 created "2022-10-04" @default.
- W4300767251 creator A5054945215 @default.
- W4300767251 date "2016-04-28" @default.
- W4300767251 modified "2023-09-29" @default.
- W4300767251 title "Equivariant Grobner bases of symmetric toric ideals" @default.
- W4300767251 doi "https://doi.org/10.48550/arxiv.1604.08517" @default.
- W4300767251 hasPublicationYear "2016" @default.
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