{wiki}

We just use "Abstract algebra" as a synonym for <algebra>.


Abstract algebra

{wiki}

A <set (mathematics)> $S$ plus any number of functions $f_i : S \times S \to S$, such that each $f_i$ satisfies some properties of choice.

Key examples:
* <group>: one function
* <field (mathematics)>: two functions
* <ring (mathematics)>: also two functions, but with less restrictive properties


Algebraic structure

Linear algebra

{wiki=Group_(mathematics)}

= Group
{disambiguate=mathematics}
{synonym}


Ciro Santilli @cirosantilli 37

 Children: Algebra