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About: *-algebra     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatAlgebras, within Data Space : dbpedia.org associated with source document(s)

Type: yago:Abstraction100002137yago:Algebra106012726yago:Cognition100023271yago:Content105809192yago:Discipline105996646yago:KnowledgeDomain105999266yago:Mathematics106000644yago:PsychologicalFeature100023100yago:PureMathematics106003682buildingyago:Science105999797yago:WikicatAlgebras New Facet based on Instances of this Class

In mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra) is a mathematical structure consisting of two involutive rings R and A, where R is commutative and A has the structure of an associative algebra over R. Involutive algebras generalize the idea of a number system equipped with conjugation, for example the complex numbers and complex conjugation, matrices over the complex numbers and conjugate transpose, and linear operators over a and Hermitian adjoints.However, it may happen that an algebra admits no involution.