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- Associative_algebra abstract "In mathematics, an associative algebra A is an associative ring (not necessarily unital) that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.For example, a ring of square matrices over a field K is an associative K algebra. More generally, given a ring S with center C, S is an associative C algebra. In some areas of mathematics, associative algebras are typically assumed to have a multiplicative unit, denoted 1. To make this extra assumption clear, these associative algebras are called unital algebras. Additionally, some authors demand that all rings be unital; in this article, the word "ring" is intended to refer to potentially non-unital rings as well.".
- Associative_algebra wikiPageExternalLink Quantum.ps.
- Associative_algebra wikiPageID "2112".
- Associative_algebra wikiPageRevisionID "601460145".
- Associative_algebra hasPhotoCollection Associative_algebra.
- Associative_algebra subject Category:Algebras.
- Associative_algebra type Abstraction100002137.
- Associative_algebra type Algebra106012726.
- Associative_algebra type Algebras.
- Associative_algebra type Cognition100023271.
- Associative_algebra type Content105809192.
- Associative_algebra type Discipline105996646.
- Associative_algebra type KnowledgeDomain105999266.
- Associative_algebra type Mathematics106000644.
- Associative_algebra type PsychologicalFeature100023100.
- Associative_algebra type PureMathematics106003682.
- Associative_algebra type Science105999797.
- Associative_algebra comment "In mathematics, an associative algebra A is an associative ring (not necessarily unital) that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R.".
- Associative_algebra label "Algèbre associative".
- Associative_algebra label "Associatieve algebra".
- Associative_algebra label "Associative algebra".
- Associative_algebra label "Assoziative Algebra".
- Associative_algebra label "Álgebra asociativa".
- Associative_algebra label "結合代數".
- Associative_algebra label "結合多元環".
- Associative_algebra sameAs Assoziative_Algebra.
- Associative_algebra sameAs Álgebra_asociativa.
- Associative_algebra sameAs Algèbre_associative.
- Associative_algebra sameAs 結合多元環.
- Associative_algebra sameAs Associatieve_algebra.
- Associative_algebra sameAs m.0wvv.
- Associative_algebra sameAs Q744960.
- Associative_algebra sameAs Q744960.
- Associative_algebra sameAs Associative_algebra.
- Associative_algebra wasDerivedFrom Associative_algebra?oldid=601460145.
- Associative_algebra isPrimaryTopicOf Associative_algebra.