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The structure of hereditary rings

Yu. A. Drozd


Abstract: It is proved that hereditary rings are isomorphic to rings of triangular matrices with prime blocks along the diagonal. A criterion for triangular rings to be hereditary is given, and when a certain condition (“splitting”) holds it is established that hereditary rings are tensor algebras of special bimodules.
Bibliography: 14 titles.

UDC: 519.48

MSC: Primary 16A50, 16A51, 16A48; Secondary 16A42

Received: 29.03.1979

 English version: Mathematics of the USSR-Sbornik, 1982, 41:1, 139–148

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