Results 1 to 10 of about 14,720 (185)
Multivariate linear recurrences and power series division.
Hauser H, Koutschan C.
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Young-Capelli symmetrizers in superalgebras. [PDF]
Brini A, Teolis AG.
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Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power.
Peruginelli G.
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Étale neighbourhoods and the normal crossings locus.
Bruschek C, Wagner D.
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Identifiability of Phylogenetic Level-2 Networks under the Jukes-Cantor Model
Englander AK +6 more
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Some of the next articles are maybe not open access.
k-Decomposable Monomial Ideals
Algebra Colloquium, 2015In this paper we introduce a class of monomial ideals, called k-decomposable ideals. It is shown that the class of k-decomposable ideals is contained in the class of monomial ideals with linear quotients, and when k is large enough, the class of k-decomposable ideals is equal to the class of ideals with linear quotients. In addition, it is shown that a
Rahmati-Asghar, Rahim, Yassemi, Siamak
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Superficial ideals for monomial ideals
Journal of Algebra and Its Applications, 2018Let [Formula: see text] and [Formula: see text] be two ideals in a commutative Noetherian ring [Formula: see text]. We say that [Formula: see text] is a superficial ideal for [Formula: see text] if the following conditions are satisfied: (i) [Formula: see text], where [Formula: see text] denotes a minimal set of generators of an ideal [Formula: see ...
Rajaee, Saeed +2 more
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Journal of Mathematical Sciences, 2007
The author studies the numerical characteristics of monomial ideals in polynomial rings \(A=k[x_1,\ldots x_n]\) and in exterior algebras \(E\) on the same number of variables. In Chapter 2 of the paper, the author generalizes Macaulay's theorem to quotient rings. That is, the author gives conditions on and ideal \(I\) and on ideals \(J\) containing \(I\
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The author studies the numerical characteristics of monomial ideals in polynomial rings \(A=k[x_1,\ldots x_n]\) and in exterior algebras \(E\) on the same number of variables. In Chapter 2 of the paper, the author generalizes Macaulay's theorem to quotient rings. That is, the author gives conditions on and ideal \(I\) and on ideals \(J\) containing \(I\
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Monomial ideals with tiny squares and Freiman ideals
Czechoslovak Mathematical Journal, 2021Throughout this paper, let \(K\) be a field and \(R=K[x,y]\) a polynomial ring over \(K\) with two variables. For a monomial ideal \(I\) of \(R\), let \(\mu(I)\) be the number of the least monomial generators. In the paper, the authors provide a construction of monomial ideals \(I\) such that \(\mu(I^2)
Al-Ayyoub, Ibrahim, Nasernejad, Mehrdad
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Manuscripta Mathematica, 1979
The paper concerns itself with generating sets for monomial Gorenstein ideals in polynomial rings k[x1,..., xr], k an arbitrary field. For r=5 it is shown that for a certain class of these ideals, the number of generators is bounded by 13. To establish the sharpness of this bound an algorithm is established, to obtain all numerical symmetric semigroups
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The paper concerns itself with generating sets for monomial Gorenstein ideals in polynomial rings k[x1,..., xr], k an arbitrary field. For r=5 it is shown that for a certain class of these ideals, the number of generators is bounded by 13. To establish the sharpness of this bound an algorithm is established, to obtain all numerical symmetric semigroups
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