Associative algebra

id: associative-algebra-180-9835885
title: Associative algebra
text: In mathematics, an associative algebra A over a commutative ring K is a ring A together with a ring homomorphism from K into the center of A. This is thus an algebraic structure with an addition, a multiplication, and a scalar multiplication. The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a module or vector space over K. In this article we will also use the term K-algebra to me
brand slug: wiki
category slug: encyclopedia
description: Ring that is also a vector space or a module
original url: https://en.wikipedia.org/wiki/Associative_algebra
date created: 2001-09-30T12:40:04Z
date modified: 2024-09-05T13:26:31Z
main entity: {"identifier":"Q744960","url":"https://www.wikidata.org/entity/Q744960"}
image:
fields total: 13
integrity: 15

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