| dc.description.abstract | Since the mid 19th century it has been known that every
Desarguean projective’ plane is coordinatizable over a division
ring. This coordinatization procedure was used by von Neumann
[9] to show that every complemented modular lattice with spanning
n-frame (n >= 4) is isomorphic to the lattice of finitely generated
submodules of a regular ring. In 1958, Jonsson introduced the
Arguesian identity and extended von Neumann’s result to every complemented Arguesian lattice with spanning 3-frame. It was further
noted by Freese [s] and Artmann [l] that to obtain the ring,
von Neumann’s proof did not require complementation., In this thesis
we follow the method of von.Neumann to show: [see thesis for theorum] | |
