Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ( 33], 34], 9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ( 8, page 155], 32, page V]). Von Neumann proved ( 32, Theorem 14. 1, page 208], 8, page 162]): Every continuous geometry is isomorphic to the lattice of right ideals of some regular ring. The book of K. R. Goodearl ( 14]) gives an extensive account of various types of regular rings and there exist several papers studying modules over regular rings ( 27], ...
Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ( 33], 34], 9]). A continuous geometry is an in...
