Abstract
In his paperCompletely flat monoids (Uch. Zap. Tartu Un-ta610 (1982), 38–52 (Russian)) V. Fleischer gives a characterization of the absolute flatness of a monoidS in terms of certain one-sided ideals and one-sided congruences ofS. In the present work an alternative, more direct proof of Fieischer's theorem is provided, and the result is used to show that the multiplicative monoid of any semisimple Artinian ring is absolutely flat.
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