Ring detail

Name: Simple, non-Artinian, von Neumann regular ring

Description: Let $S$ be the ring of linear transformations of a countable dimensional vector space over a field. This is known to have exactly one nontrivial ideal $M$. The ring is $S/M$


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  • Legend
    • = has the property
    • = does not have the property
    • = information not in database
    Name Measure
    composition length left: $\infty$right: $\infty$
    weak global dimension 0
    Name Description
    Jacobson radical $\{0\}$