http://dbpedia.org/ontology/abstract
|
In mathematics, a Hironaka decomposition i … In mathematics, a Hironaka decomposition is a representation of an algebra over a field as a finitely generated free module over a polynomial subalgebra or a regular local ring. Such decompositions are named after Heisuke Hironaka, who used this in his unpublished master's thesis at Kyoto University . Hironaka's criterion , sometimes called miracle flatness, states that a local ring R that is a finitely generated module over a regular Noetherian local ring S is Cohen–Macaulay if and only if it is a free module over S. There is a similar result for rings that are graded over a field rather than local.are graded over a field rather than local.
|
http://dbpedia.org/ontology/wikiPageID
|
52055632
|
http://dbpedia.org/ontology/wikiPageLength
|
4035
|
http://dbpedia.org/ontology/wikiPageRevisionID
|
1075077786
|
http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Heisuke_Hironaka +
, http://dbpedia.org/resource/Category:Commutative_algebra +
, http://dbpedia.org/resource/Graded_ring +
, http://dbpedia.org/resource/Rees_decomposition +
, http://dbpedia.org/resource/Kyoto_University +
, http://dbpedia.org/resource/Module_%28mathematics%29 +
, http://dbpedia.org/resource/Reductive_group +
, http://dbpedia.org/resource/Local_ring +
, http://dbpedia.org/resource/Hilbert%27s_fourteenth_problem +
, http://dbpedia.org/resource/Regular_local_ring +
, http://dbpedia.org/resource/Cohen%E2%80%93Macaulay_ring +
, http://dbpedia.org/resource/Stanley_decomposition +
, http://dbpedia.org/resource/Noether_normalization_lemma +
, http://dbpedia.org/resource/Free_module +
, http://dbpedia.org/resource/Algebra_over_a_field +
, http://dbpedia.org/resource/Finitely_generated_module +
, http://dbpedia.org/resource/Noetherian_ring +
, http://dbpedia.org/resource/Rational_representation +
|
http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Citation +
, http://dbpedia.org/resource/Template:Harv +
|
http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Commutative_algebra +
|
http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Hironaka_decomposition?oldid=1075077786&ns=0 +
|
http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Hironaka_decomposition +
|
owl:sameAs |
https://global.dbpedia.org/id/2qhEx +
, http://dbpedia.org/resource/Hironaka_decomposition +
, http://www.wikidata.org/entity/Q30704547 +
|
rdfs:comment |
In mathematics, a Hironaka decomposition i … In mathematics, a Hironaka decomposition is a representation of an algebra over a field as a finitely generated free module over a polynomial subalgebra or a regular local ring. Such decompositions are named after Heisuke Hironaka, who used this in his unpublished master's thesis at Kyoto University .shed master's thesis at Kyoto University .
|
rdfs:label |
Hironaka decomposition
|