Algebraic structure facts for kids
In mathematics an algebraic structure is a set with one, two or more binary operations on it.
The basic algebraic structures with one binary operation are the following:

 A set with a binary operation.
 Semigroup

 A set with an operation which is associative

 A semigroup with an identity element

 A monoid where each element has a corresponding inverse element

 A group with a commutative operation
The basic algebraic structures with two binary operations are the following:

 A set with two operations, often called addition and multiplication. The set with the operation of addition forms a commutative group, and with the operation of multiplication it forms a semigroup (many people define a ring so that the set with multiplication is actually a monoid). Addition and multiplication in a ring satisfy the distributive property

 A ring whose multiplication is commutative

 A commutative ring where the set with multiplication is a group.
Examples are
 The whole numbers (natural numbers together with zero) with addition (or multiplication) is a monoid, but is not a group
 The integers with addition is a commutative group, but with multiplication is just a monoid
 The integers with addition and multiplication is a commutative ring, but not a field
 The rational numbers, the real numbers and the complex numbers with the ordinary addition and ordinary multiplication are fields.
See also
In Spanish: Estructura algebraica para niños
National Hispanic Heritage Month on Kiddle
Prominent Hispanic scientists
Severo Ochoa 
Sarah Stewart 
Mario J. Molina 
Rodolfo Llinás 
F. J. Duarte 
All content from Kiddle encyclopedia articles (including the article images and facts) can be freely used under AttributionShareAlike license, unless stated otherwise. Cite this article:
Algebraic structure Facts for Kids. Kiddle Encyclopedia.