Ring $R_{ 11 }$

$M_n(F_2)$

Description:

The ring of $n \times n$ matrices with entries from $F_2$, the field of two elements

Keywords matrix ring

Reference(s):

  • (Citation needed)


  • Legend
    • = has the property
    • = does not have the property
    • = information not in database
    Name Measure
    cardinality $2^{n^2}$
    composition length left: $n$right: $n$
    global dimension left: 0right: 0
    Krull dimension (classical) 0
    uniform dimension left: $n$right: $n$
    weak global dimension 0
    Name Description
    Jacobson radical $\{0\}$
    Left singular ideal $\{0\}$
    Left socle $R$
    Right singular ideal $\{0\}$
    Right socle $R$