Ring detail


Name: Full linear ring of a countable dimensional right vector space

Description: Let $V$ be a countable dimensional right vector space over a division ring $D$. $R=End(V_D)$.

Notes: Has exactly three ideals: the nontrivial one is the set of transformations with finite dimensional range.

Keywords endomorphism ring ring of functions

Reference(s):

  • (Citation needed)


  • The ring lacks the following properties: