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  1. Applied Mathematics-A Journal of Chinese Universities
  2. Applied Mathematics-A Journal of Chinese Universities : Volume 26
  3. Applied Mathematics-A Journal of Chinese Universities : Volume 26, Issue 3, September 2011
  4. W-Gröbner basis and monomial ideals under polynomial composition
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Applied Mathematics-A Journal of Chinese Universities : Volume 32
Applied Mathematics-A Journal of Chinese Universities : Volume 31
Applied Mathematics-A Journal of Chinese Universities : Volume 30
Applied Mathematics-A Journal of Chinese Universities : Volume 29
Applied Mathematics-A Journal of Chinese Universities : Volume 28
Applied Mathematics-A Journal of Chinese Universities : Volume 27
Applied Mathematics-A Journal of Chinese Universities : Volume 26
Applied Mathematics-A Journal of Chinese Universities : Volume 26, Issue 4, December 2011
Applied Mathematics-A Journal of Chinese Universities : Volume 26, Issue 3, September 2011
Existence and multiplicity of positive solutions for an elastic beam equation
Joint and supremum distributions in the compound binomial model with Markovian environment
Infinitely many pairs of cospectral integral regular graphs
W-Gröbner basis and monomial ideals under polynomial composition
Learning from regularized regression algorithms with p-order Markov chain sampling
On the well-posedness for stochastic fourth-order Schrödinger equations
Joint asymptotic distribution of exceedances point process and partial sum of stationary Gaussian sequence
Canonical characteristic relation for two dimensional Euler equations
Flag-transitive point-primitive 2-(v,k,4) symmetric designs and two dimensional classical groups
Positive solutions bifurcating from zero solution in a Lotka-Volterra competitive system with cross-diffusion effects
Commutators of weighted lipschitz functions and multilinear singular integrals with non-smooth kernels
A two-grid algorithm based on Newton iteration for the stream function form of the Navier-Stokes equations
Applied Mathematics-A Journal of Chinese Universities : Volume 26, Issue 2, June 2011
Applied Mathematics-A Journal of Chinese Universities : Volume 26, Issue 1, March 2011
Applied Mathematics-A Journal of Chinese Universities : Volume 25
Applied Mathematics-A Journal of Chinese Universities : Volume 24
Applied Mathematics-A Journal of Chinese Universities : Volume 23
Applied Mathematics-A Journal of Chinese Universities : Volume 22
Applied Mathematics-A Journal of Chinese Universities : Volume 21
Applied Mathematics-A Journal of Chinese Universities : Volume 20
Applied Mathematics-A Journal of Chinese Universities : Volume 19
Applied Mathematics-A Journal of Chinese Universities : Volume 18
Applied Mathematics-A Journal of Chinese Universities : Volume 17
Applied Mathematics-A Journal of Chinese Universities : Volume 16
Applied Mathematics-A Journal of Chinese Universities : Volume 15
Applied Mathematics-A Journal of Chinese Universities : Volume 14
Applied Mathematics-A Journal of Chinese Universities : Volume 13
Applied Mathematics-A Journal of Chinese Universities : Volume 12

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W-Gröbner basis and monomial ideals under polynomial composition

Content Provider Springer Nature Link
Author Li, Dong mei Liu, Jin wang Liu, Wei jun
Copyright Year 2011
Abstract The notion of weakly relatively prime and W-Gröbner basis in K[x $_{1}$, x $_{2}$, …, x $_{ n }$] are given. The following results are obtained: for polynomials f $_{1}$, f $_{2}$, …, f $_{ m }$, $\{ f_1^{\lambda _1 } ,f_2^{\lambda _2 } ,...,f_m^{\lambda _m } \} $ is a Gröbner basis if and only if f $_{1}$, f $_{2}$, …, f $_{ m }$ are pairwise weakly relatively prime with λ $_{1}$, λ $_{2}$, …, λ $_{ m }$ arbitrary non-negative integers; polynomial composition by Θ = (θ $_{1}$, θ $_{2}$, …, θ $_{ n }$) commutes with monomial-Gröbner bases computation if and only if θ $_{1}$, θ $_{2}$, …, θ $_{ m }$ are pairwise weakly relatively prime.
Starting Page 287
Ending Page 294
Page Count 8
File Format PDF
ISSN 10051031
Journal Applied Mathematics-A Journal of Chinese Universities
Volume Number 26
Issue Number 3
e-ISSN 19930445
Language English
Publisher SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Publisher Date 2011-09-11
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword W-Gröbner basis weakly relatively prime polynomial composition Applications of Mathematics Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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