International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 91267, 21 pages
On -rings and topological realization
Department of Mathematics, The Ohio State University Newark, 1179 University Drive, Newark 43055, OH, USA
Received 19 July 2005; Accepted 12 April 2006
Copyright © 2006 Donald Yau. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
It is shown that most possibly truncated power series rings admit
uncountably many filtered -ring structures. The question
of how many of these filtered -ring structures are
topologically realizable by the -theory of torsion-free spaces
is also considered for truncated polynomial rings.