On the lattice of stratified principal L-topologies

Tsinghua University Press - Tập 5 - Trang 351-358 - 2013
Raji George1, T. P. Johnson2
1Department of Mathematics, St. Peter’s College, Kolenchery, India
2Applied Sciences and Humanities Division, School of Engineering, Cochin University of Science and Technology, Cochin-22, India

Tóm tắt

We investigate the lattice structure of the set of all stratified principal L-topologies on a given set X. It proves that the lattice of stratified principal L-topologies S p(X) has atoms and dual atoms if and only if L has atoms and dual atoms respectively. Moreover, it is complete and semi-complemented. We also discuss some other properties of the lattice.

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