On von Neumann regular rings. XV
[Part XIV cf. An. Univ. Timişoara, Ştiinţe Mat. 25, 75-88 (1987; Zbl 0641.16008).] In the first part of this paper, certain subclasses of regular rings are characterized. Two typical results are: (1) If A is a ring whose essential ideals are two-sided, then A is regular iff A is semi-prime and every simple left module is flat. (2) A is strongly regular iff every simple right module is flat and every complement left ideal is two-sided. The second part is concerned with rings having a classical quotient ring and with divisible modules. Semi-simple Artinian rings, Goldie rings and duo ring also make their appearance.
scientific article; zbMATH DE number 4122155