## ::*-algebra

### ::concepts

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 Hilbert space and Hermitian adjoints.
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***-algebra sections**

Intro Terminology Examples Additional structures See also Notes and references

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''x''::algebra -ring::-algebra Complex::numbers ''A''::number ''y''::where Field::called

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 Hilbert space and Hermitian adjoints.
{{#invoke:Side box|main}}

***-algebra sections**

Intro Terminology Examples Additional structures See also Notes and references

PREVIOUS: Intro | NEXT: Terminology |

<< | >> |