IJPAM: Volume 89, No. 1 (2013)

RIGHT RESIDUATED LATTICES AND
RIGHT TRIANGLE ALGEBRAS

Yong Chan Kim
Department of Mathematics
Gangneung-Wonju University
Gangneung, Gangwondo, 210-702, KOREA


Abstract. In this paper, we introduce the notions of right (left) triangle algebras in right (left) residuated lattices. Every right (left) residuated lattices induce right (left) triangle algebras. Moreover, every right (left) triangle algebras are isomorphic their right (left) approximation spaces.

Received: June 15, 2013

AMS Subject Classification: 03E72, 54A40, 54B10

Key Words and Phrases: right (left) residuated lattices, right (left) rough approximation operators, right (left) triangle algebras

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DOI: 10.12732/ijpam.v89i1.6 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 1