Abstract

Mochizuki [7] studied the double centralizer of a minimal faithful leftmodule for a hereditary QF-3 algebra of finite rank over a field. In [4] Haradaapplied his theory of generalized triangular matrix rings to extend Mochizuki'sresults to left QF-3 and semi-primary partially PP-rings. The purpose of thisnote is to give a direct proof of Harada's results which extends them to semi-perfect rings.

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