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arxiv: 1508.02800 · v1 · pith:2NS4K7REnew · submitted 2015-08-12 · 🧮 math.AC

Hilbert functions of socle ideals

classification 🧮 math.AC
keywords cohen-macaulaynessfunctionshilbertidealslocalringsapplicationscharacterize
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In this paper, we explore a relationship between Hilbert functions and the irreducible decompositions of ideals in local rings. Applications are given to characterize the regularity, Gorensteinness, Cohen-Macaulayness and sequentially Cohen-Macaulayness of local rings.

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