Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Unique_factorization_domain> ?p ?o }
- Unique_factorization_domain abstract "In mathematics, a unique factorization domain (UFD) is a commutative ring in which every non-zero non-unit element can be written as a product of prime elements (or irreducible elements), uniquely up to order and units, analogous to the fundamental theorem of arithmetic for the integers. UFDs are sometimes called factorial rings, following the terminology of Bourbaki.Unique factorization domains appear in the following chain of class inclusions: Commutative rings ⊃ integral domains ⊃ integrally closed domains ⊃ unique factorization domains ⊃ principal ideal domains ⊃ Euclidean domains ⊃ fields ⊃ finite fields".
- Unique_factorization_domain wikiPageExternalLink ln.
- Unique_factorization_domain wikiPageID "60546".
- Unique_factorization_domain wikiPageLength "12376".
- Unique_factorization_domain wikiPageOutDegree "83".
- Unique_factorization_domain wikiPageRevisionID "672652228".
- Unique_factorization_domain wikiPageWikiLink Affine_variety.
- Unique_factorization_domain wikiPageWikiLink Algebraic_integer.
- Unique_factorization_domain wikiPageWikiLink American_Mathematical_Monthly.
- Unique_factorization_domain wikiPageWikiLink Ascending_chain_condition_on_principal_ideals.
- Unique_factorization_domain wikiPageWikiLink Associated_element.
- Unique_factorization_domain wikiPageWikiLink Atomic_domain.
- Unique_factorization_domain wikiPageWikiLink Auslander–Buchsbaum_theorem.
- Unique_factorization_domain wikiPageWikiLink Bijection.
- Unique_factorization_domain wikiPageWikiLink Bijective.
- Unique_factorization_domain wikiPageWikiLink Cambridge_University_Press.
- Unique_factorization_domain wikiPageWikiLink Category:Algebraic_number_theory.
- Unique_factorization_domain wikiPageWikiLink Category:Ring_theory.
- Unique_factorization_domain wikiPageWikiLink Coefficient.
- Unique_factorization_domain wikiPageWikiLink Coefficients.
- Unique_factorization_domain wikiPageWikiLink Commutative_ring.
- Unique_factorization_domain wikiPageWikiLink Coordinate_ring.
- Unique_factorization_domain wikiPageWikiLink Dedekind_domain.
- Unique_factorization_domain wikiPageWikiLink Divisor.
- Unique_factorization_domain wikiPageWikiLink Divisor_(algebraic_geometry).
- Unique_factorization_domain wikiPageWikiLink Divisor_theory.
- Unique_factorization_domain wikiPageWikiLink Divisorial_ideal.
- Unique_factorization_domain wikiPageWikiLink Eisenstein_integer.
- Unique_factorization_domain wikiPageWikiLink Empty_product.
- Unique_factorization_domain wikiPageWikiLink Entire_function.
- Unique_factorization_domain wikiPageWikiLink Euclidean_domain.
- Unique_factorization_domain wikiPageWikiLink Field_of_fractions.
- Unique_factorization_domain wikiPageWikiLink Formal_power_series.
- Unique_factorization_domain wikiPageWikiLink Fractional_ideal.
- Unique_factorization_domain wikiPageWikiLink Fundamental_theorem_of_arithmetic.
- Unique_factorization_domain wikiPageWikiLink GCD_domain.
- Unique_factorization_domain wikiPageWikiLink Gaussian_integer.
- Unique_factorization_domain wikiPageWikiLink Greatest_common_divisor.
- Unique_factorization_domain wikiPageWikiLink Height_(ring_theory).
- Unique_factorization_domain wikiPageWikiLink Homogeneous_polynomial.
- Unique_factorization_domain wikiPageWikiLink Ideal_class_group.
- Unique_factorization_domain wikiPageWikiLink Integer.
- Unique_factorization_domain wikiPageWikiLink Integers.
- Unique_factorization_domain wikiPageWikiLink Integral_domain.
- Unique_factorization_domain wikiPageWikiLink Integrally_closed_domain.
- Unique_factorization_domain wikiPageWikiLink Irreducible_element.
- Unique_factorization_domain wikiPageWikiLink Irving_Kaplansky.
- Unique_factorization_domain wikiPageWikiLink Krull_dimension.
- Unique_factorization_domain wikiPageWikiLink Krull_domain.
- Unique_factorization_domain wikiPageWikiLink Krull_ring.
- Unique_factorization_domain wikiPageWikiLink Least_common_multiple.
- Unique_factorization_domain wikiPageWikiLink Localization_of_a_ring.
- Unique_factorization_domain wikiPageWikiLink Mathematics.
- Unique_factorization_domain wikiPageWikiLink Monic_polynomial.
- Unique_factorization_domain wikiPageWikiLink Multiplicatively_closed_set.
- Unique_factorization_domain wikiPageWikiLink Multiplicatively_closed_subset.
- Unique_factorization_domain wikiPageWikiLink Nicolas_Bourbaki.
- Unique_factorization_domain wikiPageWikiLink Noetherian_ring.
- Unique_factorization_domain wikiPageWikiLink Parafactorial_local_ring.
- Unique_factorization_domain wikiPageWikiLink Polynomial_ring.
- Unique_factorization_domain wikiPageWikiLink Prime_element.
- Unique_factorization_domain wikiPageWikiLink Prime_ideal.
- Unique_factorization_domain wikiPageWikiLink Principal_ideal_domain.
- Unique_factorization_domain wikiPageWikiLink Projective_module.
- Unique_factorization_domain wikiPageWikiLink Quadratic_integer.
- Unique_factorization_domain wikiPageWikiLink Quadratic_integer_ring.
- Unique_factorization_domain wikiPageWikiLink Quotient_field.
- Unique_factorization_domain wikiPageWikiLink Regular_local_ring.
- Unique_factorization_domain wikiPageWikiLink Root.
- Unique_factorization_domain wikiPageWikiLink Schreier_domain.
- Unique_factorization_domain wikiPageWikiLink Subclass_(set_theory).
- Unique_factorization_domain wikiPageWikiLink Subring.
- Unique_factorization_domain wikiPageWikiLink Unit_(ring_theory).
- Unique_factorization_domain wikiPageWikiLink Zariski_ring.
- Unique_factorization_domain wikiPageWikiLink nowiki%3EX%3Cnowiki%3E.
- Unique_factorization_domain wikiPageWikiLink sub%3E%3Cnowiki%3E.
- Unique_factorization_domain wikiPageWikiLinkText "UFD".
- Unique_factorization_domain wikiPageWikiLinkText "Unique factorization domain".
- Unique_factorization_domain wikiPageWikiLinkText "Unique factorization".
- Unique_factorization_domain wikiPageWikiLinkText "unique factorisation".
- Unique_factorization_domain wikiPageWikiLinkText "unique factorization domain".
- Unique_factorization_domain wikiPageWikiLinkText "unique factorization".
- Unique_factorization_domain hasPhotoCollection Unique_factorization_domain.
- Unique_factorization_domain wikiPageUsesTemplate Template:Citation.
- Unique_factorization_domain wikiPageUsesTemplate Template:Cite_book.
- Unique_factorization_domain wikiPageUsesTemplate Template:Cite_journal.
- Unique_factorization_domain wikiPageUsesTemplate Template:Commutative_ring_classes.
- Unique_factorization_domain wikiPageUsesTemplate Template:Harv.
- Unique_factorization_domain wikiPageUsesTemplate Template:Lang_Algebra.
- Unique_factorization_domain wikiPageUsesTemplate Template:Redirect.
- Unique_factorization_domain wikiPageUsesTemplate Template:Reflist.
- Unique_factorization_domain subject Category:Algebraic_number_theory.
- Unique_factorization_domain subject Category:Ring_theory.
- Unique_factorization_domain hypernym Ring.
- Unique_factorization_domain type AnatomicalStructure.
- Unique_factorization_domain type Field.
- Unique_factorization_domain comment "In mathematics, a unique factorization domain (UFD) is a commutative ring in which every non-zero non-unit element can be written as a product of prime elements (or irreducible elements), uniquely up to order and units, analogous to the fundamental theorem of arithmetic for the integers.".
- Unique_factorization_domain label "Unique factorization domain".
- Unique_factorization_domain sameAs Anell_factorial.
- Unique_factorization_domain sameAs Gaussův_obor_integrity.