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- W1746550213 abstract "Given finite posets P and Q, we consider a specific ideal L(P, Q), whose minimal monomial generators correspond to order-preserving maps $$phi :Prightarrow Q$$ź:PźQ. We study algebraic invariants of those ideals. In particular, sharp lower and upper bounds for the Castelnuovo---Mumford regularity and the projective dimension are provided. We obtain precise formulas for a large subclass of these ideals. Moreover, we provide complete characterizations for several algebraic properties of L(P, Q), including being Buchsbaum, Cohen---Macaulay, Gorenstein, Golod and having a linear resolution." @default.
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- W1746550213 date "2016-05-02" @default.
- W1746550213 modified "2023-09-24" @default.
- W1746550213 title "Algebraic properties of ideals of poset homomorphisms" @default.
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- W1746550213 doi "https://doi.org/10.1007/s10801-016-0687-5" @default.
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