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Representing rank complete continuous rings

1976
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Canadian Journal of Mathematics - Journal Canadien de Mathematiques
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Given a suitable regular ring R, we construct a sheaf-like representation for R as a ring of continuous sections from a completely regular space to an appropriately toplogized disjoint union of factor rings corresponding to "extremal" pseudo-rank functions. Applied to rings which are complete with respect to a rank function this representation is an isomorphism, the completely regular space is extremally disconnected and compact, and the * 'stalks" are the simple factor rings. These factor

doi:10.4153/cjm-1976-131-9
fatcat:wpisdbbwrvevzki2ta56dhsbxe