L-Topological Spaces Based on Residuated Lattices - Advances in Pure Mathematics

APM > Vol.2 No.1, January 2012

L-Topological Spaces Based on Residuated Lattices ()

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DOI: 10.4236/apm.2012.21010 4,143 Downloads 8,373 Views Citations

Author(s)

Zhudeng Wang, Xuejun Liu

Affiliation(s)

ABSTRACT

In this paper, we introduce the notion of L-topological spaces based on a complete bounded integral residuated lattice and discuss some properties of interior and left (right) closure operators.

KEYWORDS

Residuated Lattice; L-Topological Space; Interior Operator; Left (Right) Closure Operator

Share and Cite:

Z. Wang and X. Liu, "L-Topological Spaces Based on Residuated Lattices," Advances in Pure Mathematics, Vol. 2 No. 1, 2012, pp. 41-44. doi: 10.4236/apm.2012.21010.

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