Results 11 to 20 of about 86 (60)
On Characteristic Poset and Stanley Decomposition
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 Let J ⊂ I be two monomial ideals such that I/J is Cohen Macaulay. By associating a finite posets PI/Jg$P_{I/J}^g$ to I/J, we show that if I/J is a Stanley ideal then I/J˜$\widetilde{I/J}$ is also a Stanley ideal, where I/J˜$\widetilde{I/J}$ is the ...
Ahmad Sarfraz +2 more
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Relative rank and regularization
Forum of Mathematics, SigmaWe introduce a new concept of rank – relative rank associated to a filtered collection of polynomials. When the filtration is trivial, our relative rank coincides with Schmidt rank (also called strength).
Amichai Lampert, Tamar Ziegler
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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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Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]
Mon Hefte Math, 2023 Fadinger-Held V, Frisch S, Windisch D.
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A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator. [PDF]
Commun Algebra, 2020 Frisch S, Nakato S.
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An algorithm for primary decomposition in polynomial rings over the integers
Open Mathematics, 2011 Pfister Gerhard +2 more
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Cohen – Macaulayness and sequentially Cohen – Macaulayness of monomial ideals
, 2017 H. Noormohammadi, A. Rahimi
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Irreducible Jacobian derivations in positive characteristic
Open Mathematics, 2014 Jędrzejewicz Piotr
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