Algebraic structure | Algebra, Pure mathematics, Operation (mathematics), Abstract algebra, Universal algebra, Model theory, Algebraic variet, Algebraic geometry, Magma (algebra)

Publisher

OmniScriptum

Publication Date

2026

Language

English

ISBN 10

6130206941

ISBN 13

9786130206949

Binding

Taschenbuch

Condition

Neu

Dimensions

Weight

197 grams

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Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The notion of algebraic structure has been formalized in universal algebra. As an abstraction, an "algebraic structure" is the collection of all possible models of a given set of axioms. More concretely, an algebraic structure is any particular model of some set of axioms. For example, the monster group both "is" an algebraic structure in the concrete sense, and abstractly, "has" the group structure in common with all other groups. This article employs both meanings of "structure."

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