Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Ascending_chain_condition_on_principal_ideals> ?p ?o }
Showing triples 1 to 54 of
54
with 100 triples per page.
- Ascending_chain_condition_on_principal_ideals abstract "In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two-sided ideals of a ring, partially ordered by inclusion. The ascending chain condition on principal ideals (abbreviated to ACCP) is satisfied if there is no infinite strictly ascending chain of principal ideals of the given type (left/right/two-sided) in the ring, or said another way, every ascending chain is eventually constant.The counterpart descending chain condition may also be applied to these posets, however there is currently no need for the terminology "DCCP" since such rings are already called left or right perfect rings. (See Noncommutative ring section below.)Noetherian rings (e.g. principal ideal domains) are typical examples, but some important non-Noetherian rings also satisfy (ACCP), notably unique factorization domains and left or right perfect rings.".
- Ascending_chain_condition_on_principal_ideals wikiPageExternalLink 0131NAGATA.pdf.
- Ascending_chain_condition_on_principal_ideals wikiPageID "22243102".
- Ascending_chain_condition_on_principal_ideals wikiPageLength "6380".
- Ascending_chain_condition_on_principal_ideals wikiPageOutDegree "27".
- Ascending_chain_condition_on_principal_ideals wikiPageRevisionID "643528800".
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Abstract_algebra.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Ascending_chain_condition.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Atomic_domain.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Bézout_domain.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Category:Ideals.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Dedekind-infinite_set.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Dedekind_finite_ring.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Descending_chain_condition.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Euclids_lemma.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink GCD_domain.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Hyman_Bass.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Idempotence.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Inclusion_(set_theory).
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Integral_domain.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Irreducible_element.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Localization_of_a_ring.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Multiplicatively_closed_set.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Multiplicatively_closed_subset.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Noetherian_ring.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Partially_ordered_set.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Perfect_ring.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Poset.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Prime_element.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Principal_ideal.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Principal_ideal_domain.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Ring_(mathematics).
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Springer-Verlag.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Springer_Science+Business_Media.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Subset.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLink Unique_factorization_domain.
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLinkText "ACCP".
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLinkText "Ascending chain condition on principal ideals".
- Ascending_chain_condition_on_principal_ideals wikiPageWikiLinkText "ascending chain condition on principal ideals".
- Ascending_chain_condition_on_principal_ideals hasPhotoCollection Ascending_chain_condition_on_principal_ideals.
- Ascending_chain_condition_on_principal_ideals wikiPageUsesTemplate Template:Citation.
- Ascending_chain_condition_on_principal_ideals wikiPageUsesTemplate Template:Harv.
- Ascending_chain_condition_on_principal_ideals wikiPageUsesTemplate Template:Reflist.
- Ascending_chain_condition_on_principal_ideals subject Category:Ideals.
- Ascending_chain_condition_on_principal_ideals type Article.
- Ascending_chain_condition_on_principal_ideals type Article.
- Ascending_chain_condition_on_principal_ideals comment "In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two-sided ideals of a ring, partially ordered by inclusion.".
- Ascending_chain_condition_on_principal_ideals label "Ascending chain condition on principal ideals".
- Ascending_chain_condition_on_principal_ideals sameAs 主イデアルに関する昇鎖条件.
- Ascending_chain_condition_on_principal_ideals sameAs m.05q923j.
- Ascending_chain_condition_on_principal_ideals sameAs Q4803817.
- Ascending_chain_condition_on_principal_ideals sameAs Q4803817.
- Ascending_chain_condition_on_principal_ideals wasDerivedFrom Ascending_chain_condition_on_principal_ideals?oldid=643528800.
- Ascending_chain_condition_on_principal_ideals isPrimaryTopicOf Ascending_chain_condition_on_principal_ideals.