On the resolvent of an ideal and some applications.
Bouziane, Driss, Rody, Abdelilah Kandri (2003)
International Journal of Mathematics and Mathematical Sciences
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Bouziane, Driss, Rody, Abdelilah Kandri (2003)
International Journal of Mathematics and Mathematical Sciences
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Mircea Cimpoeaş (2009)
Open Mathematics
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For a monomial ideal I ⊂ S = K[x 1...,x n], we show that sdepth(S/I) ≥ n − g(I), where g(I) is the number of the minimal monomial generators of I. If I =νI′, where ν ∈ S is a monomial, then we see that sdepth(S/I) = sdepth(S/I′). We prove that if I is a monomial ideal I ⊂ S minimally generated by three monomials, then I and S/I satisfy the Stanley conjecture. Given a saturated monomial ideal I ⊂ K[x 1,x 2,x 3] we show that sdepth(I) = 2. As a consequence, sdepth(I) ≥ sdepth(K[x 1,x 2,x...
Miroslav Repický (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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Bivià-Ausina, Carles (2002)
Experimental Mathematics
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Azzouz Cherrabi, Abderrahim Miri (1999)
Extracta Mathematicae
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Voskoglou, M.G. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Janusz Zieliński (2010)
Open Mathematics
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Border bases are an alternative to Gröbner bases. The former have several more desirable properties. In this paper some constructions and operations on border bases are presented. Namely; the case of a restriction of an ideal to a polynomial ring (in a smaller number of variables), the case of the intersection of two ideals, and the case of the kernel of a homomorphism of polynomial rings. These constructions are applied to the ideal of relations and to factorizable derivations. ...
G. Valla (1994)
Compositio Mathematica
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F. Azarpanah, O. A. S. Karamzadeh, S. Rahmati (2015)
Colloquium Mathematicae
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