Strongly algebraic = SFP (topically)

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Strongly algebraic = SFP (topically)

Plotkin’s dual characterization of strongly algebraic domains – by sets of minimal upper bounds and by sequences of finite posets – is stated and proved in the topical setting.

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Algebraic shifting and strongly edge decomposable complexes

Let Γ be a simplicial complex with n vertices, and let ∆(Γ) be either its exterior algebraic shifted complex or its symmetric algebraic shifted complex. If Γ is a simplicial sphere, then it is known that (a) ∆(Γ) is pure and (b) h-vector of Γ is symmetric. Kalai and Sarkaria conjectured that if Γ is a simplicial sphere then its algebraic shifting also satisfies (c) ∆(Γ) ⊂ ∆(C(n, d)), where C(n,...

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Algebraic shifting of strongly edge decomposable spheres

Recently, Nevo introduced the notion of strongly edge decomposable spheres. In this paper, we characterize the algebraic shifted complex of those spheres. Algebraically, this result yields the characterization of the generic initial ideal of the Stanley–Reisner ideal of Gorenstein* complexes having the strong Lefschetz property in characteristic 0.

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ژورنال

عنوان ژورنال: Mathematical Structures in Computer Science

سال: 2001

ISSN: 0960-1295,1469-8072

DOI: 10.1017/s0960129501003437