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114
Local monomialization of transcendental extensions
"... Suppose that R ⊂ S are local domains such that S dominates R. We will say that R ⊂ S is monomial if R and S are regular and there are regular system of parameters (x1,..., xm) in R and (y1,..., yn) in S, there are units δ1,..., δm in S and an m ×n matrix A of natural numbers such that A has maximal ..."
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Cited by 7 (1 self)
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Suppose that R ⊂ S are local domains such that S dominates R. We will say that R ⊂ S is monomial if R and S are regular and there are regular system of parameters (x1,..., xm) in R and (y1,..., yn) in S, there are units δ1,..., δm in S and an m ×n matrix A of natural numbers such that A has maximal
The jmultiplicity of monomial ideals
 GROWTH OF MULTIPLICITIES OF GRADED FAMILIES OF IDEALS 11
"... Abstract. We prove a characterization of the jmultiplicity of a monomial ideal as the normalized volume of a polytopal complex. Our result is an extension of Teissier’s volumetheoretic interpretation of the HilbertSamuel multiplicity for mprimary monomial ideals. We also give a description of ..."
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Cited by 3 (2 self)
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Abstract. We prove a characterization of the jmultiplicity of a monomial ideal as the normalized volume of a polytopal complex. Our result is an extension of Teissier’s volumetheoretic interpretation of the HilbertSamuel multiplicity for mprimary monomial ideals. We also give a description
Monomial Representations for Gröbner Bases Computations
 PROCEEDINGS OF ISSAC 1998, ACM PRESS
, 1998
"... Monomial representations and operations for Gröbner bases computations are investigated from an implementation point of view. The technique of vectorized monomial operations is introduced and it is shown how it expedites computations of Gröbner bases. Furthermore, a rankbased monomial representatio ..."
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Cited by 16 (1 self)
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Monomial representations and operations for Gröbner bases computations are investigated from an implementation point of view. The technique of vectorized monomial operations is introduced and it is shown how it expedites computations of Gröbner bases. Furthermore, a rankbased monomial
PARAMETER ESTIMATION OF MONOMIALEXPONENTIAL SUMS
"... Abstract. In this paper we propose a matrixpencil method for the identication of parameters and coefcients of a monomialexponential sum which can be considered as an extension of existing matrixpencil methods for the parameter estimation of exponential sums. The technique adopted is based on prop ..."
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Cited by 3 (1 self)
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Abstract. In this paper we propose a matrixpencil method for the identication of parameters and coefcients of a monomialexponential sum which can be considered as an extension of existing matrixpencil methods for the parameter estimation of exponential sums. The technique adopted is based
Monomial discrete valuations in k[[X]]
, 2003
"... [2, 3] prove that all the rank one discrete valuations of k((X1, X2)), centered in the ring k[X1, X2], come from the usual order function, i.e. there exists a finite number of transformations such that we obtain a new field k((Y1, Y2)) where the lifting of v is a monomial valuation given by v(Y1) = ..."
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) = v(Y2) = 1. In this work we generalize this result to the rank m discrete valuation of K = k((X)), centered in R = k[X]. We prove that, if the dimension of v is n−m, the maximum since [1], then there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute
DECOMPOSITION OF MONOMIAL ALGEBRAS: APPLICATIONS AND ALGORITHMS
, 2014
"... Considering finite extensions K[A] ⊆ K[B] of positive affine semigroup rings over a field K we have developed in [1] an algorithm to decompose K[B] as a direct sum of monomial ideals in K[A]. By computing the regularity of homogeneous semigroup rings from the decomposition we have confirmed the E ..."
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Considering finite extensions K[A] ⊆ K[B] of positive affine semigroup rings over a field K we have developed in [1] an algorithm to decompose K[B] as a direct sum of monomial ideals in K[A]. By computing the regularity of homogeneous semigroup rings from the decomposition we have confirmed
DECOMPOSITION OF MONOMIAL ALGEBRAS: APPLICATIONS AND ALGORITHMS
, 2012
"... Considering finite extensions K[A] ⊆ K[B] of positive affine semigroup rings over a field K we have developed in [1] an algorithm to decompose K[B] as a direct sum of monomial ideals in K[A]. By computing the regularity of homogeneous semigroup rings from the decomposition we have confirmed the ..."
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Considering finite extensions K[A] ⊆ K[B] of positive affine semigroup rings over a field K we have developed in [1] an algorithm to decompose K[B] as a direct sum of monomial ideals in K[A]. By computing the regularity of homogeneous semigroup rings from the decomposition we have confirmed
Linear Differential Equations, Iterative Logarithms and Orderings on Monomial Differential Extensions
, 2000
"... We describe a new algorithm that computes the polynomial solutions of linear dierential equations with coecients in E = C[x; ln(x); ln(ln(x)); ; ln (x)]. Here, ln i (x) denotes the ith iterate of the logarithm and is some natural number. Our algorithm diers from the general one described in [1 ..."
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)]. This permits to nd for the possible polynomial solution a degreebound with respect to x that can be used to compute its coe cients. In the last part of this paper we show that the new algorithm can be applied to extensions that are not Liouvillian. We give some examples to illustrate that the usual order
Monomial Bases For Quantum Affine Sl_n
"... We use the idea of generic extensions to investigate the correspondence between the isomorphism classes of nilpotent representations of a cyclic quiver and the orbits in the corresponding representation varieties. We endow the set of such isoclasses with a monoid structure and identify the submono ..."
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Cited by 17 (8 self)
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We use the idea of generic extensions to investigate the correspondence between the isomorphism classes of nilpotent representations of a cyclic quiver and the orbits in the corresponding representation varieties. We endow the set of such isoclasses with a monoid structure and identify
Results 1  10
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114