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- Goldman_domain abstract "In mathematics, a Goldman domain is an integral domain A whose field of fractions is a finitely generated algebra over A. They are named after Oscar Goldman.An overring (i.e., an intermediate ring lying between the ring and its field of fractions) of a Goldman domain is again a Goldman domain. There exists a Goldman domain where all nonzero prime ideals are maximal although there are infinitely many prime ideals.An ideal I in a commutative ring A is called a Goldman ideal if the quotient A/I is a Goldman domain. A Goldman ideal is thus prime, but not necessarily maximal. In fact, a commutative ring is a Jacobson ring if and only if every Goldman ideal in it is maximal.The notion of a Goldman ideal can be used to give a slightly sharpened characterization of a radical of an ideal: the radical of an ideal I is the intersection of all Goldman ideals containing I.".
- Goldman_domain wikiPageID "24158491".
- Goldman_domain wikiPageLength "2006".
- Goldman_domain wikiPageOutDegree "15".
- Goldman_domain wikiPageRevisionID "626886532".
- Goldman_domain wikiPageWikiLink Algebra_over_a_field.
- Goldman_domain wikiPageWikiLink Algebra_over_a_ring.
- Goldman_domain wikiPageWikiLink Category:Ring_theory.
- Goldman_domain wikiPageWikiLink Commutative_ring.
- Goldman_domain wikiPageWikiLink Field_of_fractions.
- Goldman_domain wikiPageWikiLink Ideal_(ring_theory).
- Goldman_domain wikiPageWikiLink Integral_domain.
- Goldman_domain wikiPageWikiLink Jacobson_ring.
- Goldman_domain wikiPageWikiLink Mathematics.
- Goldman_domain wikiPageWikiLink Maximal_ideal.
- Goldman_domain wikiPageWikiLink Oscar_Goldman_(mathematician).
- Goldman_domain wikiPageWikiLink Overring.
- Goldman_domain wikiPageWikiLink Prime_ideal.
- Goldman_domain wikiPageWikiLink Quotient_ring.
- Goldman_domain wikiPageWikiLink Radical_of_an_ideal.
- Goldman_domain wikiPageWikiLink University_of_Chicago_Press.
- Goldman_domain wikiPageWikiLinkText "Goldman domain".
- Goldman_domain hasPhotoCollection Goldman_domain.
- Goldman_domain wikiPageUsesTemplate Template:Abstract-algebra-stub.
- Goldman_domain wikiPageUsesTemplate Template:Citation.
- Goldman_domain wikiPageUsesTemplate Template:Mergefrom.
- Goldman_domain wikiPageUsesTemplate Template:Reflist.
- Goldman_domain subject Category:Ring_theory.
- Goldman_domain hypernym Domain.
- Goldman_domain type Protein.
- Goldman_domain comment "In mathematics, a Goldman domain is an integral domain A whose field of fractions is a finitely generated algebra over A. They are named after Oscar Goldman.An overring (i.e., an intermediate ring lying between the ring and its field of fractions) of a Goldman domain is again a Goldman domain.".
- Goldman_domain label "Goldman domain".
- Goldman_domain sameAs Goldmanin_alue.
- Goldman_domain sameAs ゴールドマン整域.
- Goldman_domain sameAs m.07k4lql.
- Goldman_domain sameAs Q5580243.
- Goldman_domain sameAs Q5580243.
- Goldman_domain wasDerivedFrom Goldman_domain?oldid=626886532.
- Goldman_domain isPrimaryTopicOf Goldman_domain.