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The Stanley regularity of complete intersections and ideals of mixed products

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Let S be a polynomial ring over a field k and L ⊆ S a monomial ideal. We give some inequalities on Stanley regularity of monomial ideals. As consequences, we… Click to show full abstract

Let S be a polynomial ring over a field k and L ⊆ S a monomial ideal. We give some inequalities on Stanley regularity of monomial ideals. As consequences, we prove that sregS(S/L) ≤regS(S/L) and sregS(L) ≤regS(L) hold in the following cases: (1) L is a complete intersection; (2) L is an ideal of mixed products.

Keywords: complete intersections; stanley regularity; mixed products; regularity complete; intersections ideals

Journal Title: Journal of Algebra and Its Applications
Year Published: 2017

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