Coordinatization applied to finite Baer *\ rings
David E. Handelman · Transactions of the American Mathematical Society · 1978
We clarify and algebraicize the construction of the ’regular rings’ of finite Baer $^\ast$ rings. We first determine necessary and sufficient conditions of a finite Baer $^\ast$ ring so that its maximal ring of right quotients is the ’regular ring’, coordinating the projection lattice. This is applied to yield significant improvements on previously known results: If