Results 11 to 20 of about 786 (43)
Forum of Mathematics, SigmaThe study of Koszul binomial edge ideals was initiated by V. Ene, J. Herzog, and T. Hibi in 2014, who found necessary conditions for Koszulness. The binomial edge ideal $J_G$ associated to a finite simple graph G is always generated by quadrics ...
Adam LaClair +3 more
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Reduction numbers and initial ideals
, 2002 The reduction number r(A) of a standard graded algebra A is the least integer k such that there exists a minimal reduction J of the homogeneous maximal ideal m of A such that Jm^k=m^{k+1}.
Conca, Aldo
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An algorithm to compute the Hilbert depth [PDF]
, 2014 We present an algorithm which computes the Hilbert depth of a graded module based on a theorem of Uliczka. Connected to a Herzog's question we see that the Hilbert depth of a direct sum of modules can be strictly bigger than the Hilbert depth of all the ...
Popescu, Adrian
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On the multiplicity of tangent cones of monomial curves
, 2018 Let $\Lambda$ be a numerical semigroup, $\mathcal{C}\subseteq \mathbb{A}^n$ the monomial curve singularity associated to $\Lambda$, and $\mathcal{T}$ its tangent cone.
Sammartano, Alessio
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On the Hilbert depth of the Hilbert function of a finitely generated graded module
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet K be a field, A a standard graded K-algebra and M a finitely generated graded A-module. Inspired by our previous works, see [2] and [3], we study the invariant called Hilbert depth of hM, that is hdepth(hM)=max{d:∑j≤k(-1)k-j(d-jk-j)hM(j)≥0 for all ...
Bălănescu Silviu, Cimpoeaş Mircea
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On the Hilbert series of vertex cover algebras of unmixed bipartite graphs [PDF]
, 2010 We compute the reduced Gr\"{o}bner basis of the toric ideal with respect to a suitable monomial order and we study the Hilbert series of the vertex cover algebra $A(G)$, where $G$ is an unmixed bipartite graph without isolated vertices.Comment: 8 ...
Ion, Cristian
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Reflexive polytopes arising from perfect graphs
, 2018 Reflexive polytopes form one of the distinguished classes of lattice polytopes. Especially reflexive polytopes which possess the integer decomposition property are of interest.
Hibi, Takayuki, Tsuchiya, Akiyoshi
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Rank Bounded Hibi Subrings for Planar Distributive Lattices [PDF]
, 2019 Let $L$ be a distributive lattice and $R[L]$ the associated Hibi ring. We show that if $L$ is planar, then any bounded Hibi subring of $R[L]$ has a quadratic Gr\"obner basis.
Irfan, Rida, Shoukat, Nadia
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Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra [PDF]
, 2010 We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbitrary commutative algebra $K$ can be embedded into a ...
Chen, Yuqun, Li, Jing, Zeng, Mingjun
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A stable property of Borel type ideals
, 2007 In this paper, we extend a result of Eisenbud-Reeves-Totaro in the frame of ideals of Borel type.Comment: 4 pages.
Cimpoeas, Mircea
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