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- Characteristic_(algebra) abstract "In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity element (1) in a sum to get the additive identity element (0); the ring is said to have characteristic zero if this sum never reaches the additive identity.That is, char(R) is the smallest positive number n such thatif such a number n exists, and 0 otherwise.The characteristic may also be taken to be the exponent of the ring's additive group, that is, the smallest positive n such thatfor every element a of the ring (again, if n exists; otherwise zero). Some authors do not include the multiplicative identity element in their requirements for a ring (see ring), and this definition is suitable for that convention; otherwise the two definitions are equivalent due to the distributive law in rings.".
- Characteristic_(algebra) wikiPageID "1066621".
- Characteristic_(algebra) wikiPageRevisionID "597578921".
- Characteristic_(algebra) hasPhotoCollection Characteristic_(algebra).
- Characteristic_(algebra) subject Category:Field_theory.
- Characteristic_(algebra) subject Category:Ring_theory.
- Characteristic_(algebra) comment "In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity element (1) in a sum to get the additive identity element (0); the ring is said to have characteristic zero if this sum never reaches the additive identity.That is, char(R) is the smallest positive number n such thatif such a number n exists, and 0 otherwise.The characteristic may also be taken to be the exponent of the ring's additive group, that is, the smallest positive n such thatfor every element a of the ring (again, if n exists; otherwise zero). ".
- Characteristic_(algebra) label "Característica (matemática)".
- Characteristic_(algebra) label "Caractéristique d'un anneau".
- Characteristic_(algebra) label "Caratteristica (algebra)".
- Characteristic_(algebra) label "Characteristic (algebra)".
- Characteristic_(algebra) label "Charakteristik (Mathematik)".
- Characteristic_(algebra) label "Charakterystyka (algebra)".
- Characteristic_(algebra) label "Karakteristiek".
- Characteristic_(algebra) label "Характеристика кольца".
- Characteristic_(algebra) label "標数".
- Characteristic_(algebra) label "特征 (代数)".
- Characteristic_(algebra) sameAs Charakteristika_(matematika).
- Characteristic_(algebra) sameAs Charakteristik_(Mathematik).
- Characteristic_(algebra) sameAs Característica_(matemática).
- Characteristic_(algebra) sameAs Caractéristique_d'un_anneau.
- Characteristic_(algebra) sameAs Caratteristica_(algebra).
- Characteristic_(algebra) sameAs 標数.
- Characteristic_(algebra) sameAs 환의_표수.
- Characteristic_(algebra) sameAs Karakteristiek.
- Characteristic_(algebra) sameAs Charakterystyka_(algebra).
- Characteristic_(algebra) sameAs m.0430tt.
- Characteristic_(algebra) sameAs Q836088.
- Characteristic_(algebra) sameAs Q836088.
- Characteristic_(algebra) wasDerivedFrom Characteristic_(algebra)?oldid=597578921.
- Characteristic_(algebra) isPrimaryTopicOf Characteristic_(algebra).