Ring detail

Name: $T_n(k)$: the upper triangular matrix ring over a field

Description: The ring of $n \times n$ matrices over a countably infinite field $k$ whose entries below the diagonal are zero.

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: $n(n+1)/2$right: $n(n+1)/2$
    global dimension left: 1right: 1
    Krull dimension (classical) 0

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