Proyecciones Journal of Mathematics
Vol. 29, N° 3, pp. 181-191, December 2010.
Universidad Católica del Norte
Antofagasta - Chile


A NEW DEFINITION OF S* CLOSEDNESS IN L-TOPOLOGICAL SPACES


Bo Chen

Southwest University, P. R. China


Correspondencia a:

Abstract

In this paper, a new notion of S* closedness in L-topological Spaces is introduced by means of semi-open L-sets and their inequality where L is a complete DeMorgan algebra.This new definition doesn’t rely on the structure of basic lattice L. It can be characterized by means of semi-open L-sets and their inequality . When L is completely distributive DeMorgan algebra, its many characterizations are presented.

Keywords and Phrases : semiopen L - set, S* closedness, L-topological space.

Mathematics Subject Classification(2000) : 54A40,54A20.

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Bo Chen
School of Mathematics and Statistics
Southwest University
Chongqing 400715
P. R. China
e-mail : bobochen@swu.edu.cn

Received : June 2009. Accepted : May 2010