Ring $R_{ 12 }$

$M_n(\mathbb Q)$


The ring of $n \times n$ matrices with entries from $\mathbb Q$, and $n$ a natural number greater than $1$

Keywords matrix ring


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  • Legend
    • = has the property
    • = does not have the property
    • = information not in database
    Name Measure
    cardinality $\aleph_0$
    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 $R$