International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 274783, 11 pages
http://dx.doi.org/10.1155/2012/274783
Research Article

Pseudovaluations on WFI Algebras

Young Bae Jun,1 Min Su Kang,2 and Eun Hwan Roh3

1Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea
2Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea
3Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, Republic of Korea

Received 24 August 2011; Accepted 21 October 2011

Academic Editor: Hee Sik Kim

Copyright © 2012 Young Bae Jun et al. 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.

Abstract

Using Buşneag's model, the notion of pseudovaluations (valuations) on a WFI algebra is introduced, and a pseudometric is induced by a pseudovaluation on WFI algebras. Given a valuation with additional condition, we show that the binary operation in WFI algebras is uniformly continuous.