Gröbner basis (Q2181)

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particular generating subset of an ideal in a polynomial ring

Language	Label	Description	Also known as
English	Gröbner basis	particular generating subset of an ideal in a polynomial ring

Statements

Q1551631

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/m/01_0w0

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Freebase Data Dumps

publication date

28 October 2013

generating set of a module

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Stack Exchange tag

https://stackoverflow.com/tags/groebner-basis

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https://mathoverflow.net/tags/groebner-bases

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GroebnerBasis

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imported from Wikimedia project

English Wikipedia

Wolfgang Gröbner

Bruno Buchberger

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Library of Congress authority ID

sh92005856

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https://github.com/JohnMarkOckerbloom/ftl/blob/master/data/wikimap

3 April 2019

Bibliothèque nationale de France ID

124219399

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033344299

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4276378-2

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948675

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Microsoft Academic ID

198082693

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Scholarpedia article ID

Groebner_basis

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C198082693

1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

National Library of Israel J9U ID

987007539439305171

1 reference

National Library of Israel Names and Subjects Authority File

defining formula

{\begin{aligned}{\mathfrak {I}}&=(G)\\(\operatorname {lm} (p)\colon p\in {\mathfrak {I}})&=(\operatorname {lm} (p)\colon p\in G)\\\operatorname {lm} \left(\sum _{A\subset I}p_{A}\prod _{i\in A}x_{i}\right)&{\stackrel {\mathrm {def} }{=}}\min _{\leq }\left\{\prod _{i\in A}x_{i}\colon p_{A}\neq 0\right\}\end{aligned}}

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in defining formula

{\mathfrak {I}}

symbol represents

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G

symbol represents

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\leq

symbol represents

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Gröbner_Basis

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Sitelinks

⧼wikibase-sitelinks-mathematics⧽(0 entries)

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