Simple (mathematics)

From Ref
Revision as of 17:26, 20 January 2009 by Vipul (Talk | contribs)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

In group theory

Simple group: A nontrivial group that has only two normal subgroups: the whole group and the trivial subgroup.

Related terms: Almost simple group, quasisimple group, characteristically simple group, simple algebraic group

Term variations: Groupprops:Category:Variations of simplicity

Primary subject wiki entry: Groupprops:Simple group

Also located at: Wikipedia:Simple group, Mathworld:SimpleGroup, Springer Online Reference Works

In noncommutative ring theory

Simple ring: A nonzero unital ring in which the only two-sided ideals are the whole ring and the zero ideal.

Primary subject wiki entry: Noncommutative:Simple ring

In topology

Simple space: A path-connected space with Abelian fundamental group whose induced action on all higher homotopy groups is trivial.

Primary subject wiki entry: Topospaces:Simple space

In measure theory

Simple function: A real-valued or complex-valued function on a measure space that is expressible as a finite linear combination of indicator functions of measurable subsets.

Primary subject wiki entry: Measure:Simple function

Also located at: Wikipedia:Simple function