| 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] | |
