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Computing the Binomial Part of a Polynomial Ideal

https://doi.org/10.2139/ssrn.4531704
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Cellular Binomial Ideals. Primary Decomposition of Binomial Ideals
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The Calculation of Radical Ideals in Positive Characteristic
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Computational Linear and Commutative Algebra
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Computational Commutative Algebra 1
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A Singular Introduction to Commutative Algebra
inferredcites →https://doi.org/10.1007/s00453-012-9652-4openalex-extracted
Computing Sparse Multiples of Polynomials
inferredcites →https://doi.org/10.1007/s10013-021-00543-2openalex-extracted
Binomiality Testing and Computing Sparse Polynomials via Witness Sets
inferredcites →https://doi.org/10.1007/s10208-016-9336-6openalex-extracted
Algorithms for Commutative Algebras Over the Rational Numbers
inferredcites →https://doi.org/10.1007/s10208-018-9405-0openalex-extracted
When is a Polynomial Ideal Binomial After an Ambient Automorphism?
inferredcites →https://doi.org/10.1016/0022-4049(93)90098-eopenalex-extracted
Effective computation of the integral closure of a morphism
inferredcites →https://doi.org/10.1016/j.jalgor.2004.04.009openalex-extracted
Factoring into coprimes in essentially linear time
inferredcites →https://doi.org/10.1016/j.jsc.2004.11.008openalex-extracted
Quantum automata and algebraic groups
inferredcites →https://doi.org/10.1016/j.jsc.2005.03.002openalex-extracted
Conquering inseparability: Primary decomposition and multivariate factorization over algebraic function fields of positive characteristic
inferredcites →https://doi.org/10.1016/j.jsc.2008.03.002openalex-extracted
Computing the algebraic relations of C-finite sequences and multisequences
inferredcites →https://doi.org/10.1016/j.jsc.2009.04.006openalex-extracted
Computing generating sets of lattice ideals and Markov bases of lattices
inferredcites →https://doi.org/10.1017/cbo9780511897184.016openalex-extracted
Linear relations on algebraic groups
inferredcites →https://doi.org/10.1090/s0025-5718-05-01740-0openalex-extracted
Computing the structure of a finite abelian group
inferredcites →https://doi.org/10.1090/s0025-5718-1994-1242057-xopenalex-extracted
Recognizing Units in Number Fields
inferredcites →https://doi.org/10.1090/s0025-5718-97-00880-6openalex-extracted
On some computational problems in finite abelian groups
inferredcites →https://doi.org/10.1090/s0025-5718-98-00968-5openalex-extracted
A space efficient algorithm for group structure computation
inferredcites →https://doi.org/10.1145/3326229.3326243openalex-extracted
An Effective Framework for Constructing Exponent Lattice Basis of Nonzero Algebraic Numbers
inferredcites →https://doi.org/10.1215/s0012-7094-96-08401-xopenalex-extracted
Binomial ideals
inferredcites →https://doi.org/10.13140/rg.2.2.31866.62400openalex-extracted
A Term of Commutative Algebra
inferredcites →https://doi.org/10.48550/arxiv.1509.08843openalex-extracted
inferredcites →https://doi.org/10.5555/313852.314109openalex-extracted
Multiplicative equations over commuting matrices
inferredcites →https://doi.org/10.1186/s40687-017-0106-0openalex-snapshot
Finding binomials in polynomial ideals
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