Ring $R_{ 13 }$

$T_n(F_q)$

Description:

The ring of $n \times n$ matrices over a finite field $F$ whose entries below the diagonal are all zero.

Keywords matrix ring

Reference(s):

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  • Legend
    • = has the property
    • = does not have the property
    • = information not in database
    Name Measure
    cardinality $q^{n(n+1)/2}$
    composition length left: $n(n+1)/2$right: $n(n+1)/2$
    global dimension left: 1right: 1
    Krull dimension (classical) 0
    Name Description
    Left singular ideal $\{0\}$
    Right singular ideal $\{0\}$