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 countable 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)


  • Legend
    • = has the property
    • = does not have the property
    • = information not in database
    Name Measure
    cardinality $\mathfrak c$
    composition length left: $\infty$right: $\infty$
    Krull dimension (classical) 1
    weak global dimension 0
    Name Description
    Jacobson radical $\{0\}$