Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 950897, 7 pages
http://dx.doi.org/10.1155/2013/950897
Research Article

Intersection-Soft Filters in -Algebras

Young Bae Jun,1 Sun Shin Ahn,2 and Kyoung Ja Lee3

1Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea
2Department of Mathematics Education, Dongguk University, Seoul 100-715, Republic of Korea
3Department of Mathematics Education, Hannam University, Daejeon 306-791, Republic of Korea

Received 26 January 2013; Revised 1 March 2013; Accepted 6 March 2013

Academic Editor: Yong Zhou

Copyright © 2013 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

The notions of (strong) intersection-soft filters in -algebras are introduced, and related properties are investigated. Characterizations of a (strong) intersection-soft filter are established, and a new intersection-soft filter from old one is constructed. A condition for an intersection-soft filter to be strong is given, and an extension property of a strong intersection-soft filter is established.