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- W4294948133 abstract "In this paper we introduce some monomial orders for the class of closed path polyominoes and we prove that the set of the generators of the polyomino ideal attached to a closed path forms the reduced Grobner basis with respect to these monomial orders. It is known that the polyomino ideal attached to a closed path containing an L-configuration or a ladder of at least three steps, equivalently having no zig-zag walks, is prime. As a consequence, we obtain that the coordinate ring of a closed path having no zig-zag walks is a normal Cohen-Macaulay domain." @default.
- W4294948133 created "2022-09-08" @default.
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- W4294948133 date "2022-09-09" @default.
- W4294948133 modified "2023-09-30" @default.
- W4294948133 title "On Gröbner Basis and Cohen-Macaulay Property of Closed Path Polyominoes" @default.
- W4294948133 doi "https://doi.org/10.37236/11122" @default.
- W4294948133 hasPublicationYear "2022" @default.
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