Algebraic structure

id: algebraic-structure-162-10173922
title: Algebraic structure
text: In mathematics, an algebraic structure consists of a nonempty set A, a collection of operations on A, and a finite set of identities that these operations must satisfy. An algebraic structure may be based on other algebraic structures with operations and axioms involving several structures. For instance, a vector space involves a second structure called a field, and an operation called scalar multiplication between elements of the field, and elements of the vector space. Abstract algebra is the
brand slug: wiki
category slug: encyclopedia
description: Set with operations obeying given axioms
original url: https://en.wikipedia.org/wiki/Algebraic_structure
date created: 2002-10-17T23:29:07Z
date modified: 2024-08-27T21:08:16Z
main entity: {"identifier":"Q205464","url":"https://www.wikidata.org/entity/Q205464"}
image:
fields total: 13
integrity: 15

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