COMMENT ON AND A CHARACTERIZATION OF THE CONCEPT OF COMPLETE RESIDUATED LATTICE


Authors

FATHEI M. ZEYADA - Center of Mathematics and Theoretical Computer Sciences Assiut, Egypt. M. A. ABD-ALLAH - Department of Mathematics, Faculty of Science, Al Azhar University, Assiut, Egypt.


Abstract

We prove that some properties of the definition of complete residuated lattice [2,4] can be derived from the other properties. Furthermore we prove that the concept of strictly two-sided commutative quantale [1,3] and the concept of complete residuated lattice are equivalent notions.


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ISRP Style

FATHEI M. ZEYADA, M. A. ABD-ALLAH, COMMENT ON AND A CHARACTERIZATION OF THE CONCEPT OF COMPLETE RESIDUATED LATTICE, Journal of Nonlinear Sciences and Applications, 1 (2008), no. 4, 203-205

AMA Style

ZEYADA FATHEI M., ABD-ALLAH M. A., COMMENT ON AND A CHARACTERIZATION OF THE CONCEPT OF COMPLETE RESIDUATED LATTICE. J. Nonlinear Sci. Appl. (2008); 1(4):203-205

Chicago/Turabian Style

ZEYADA , FATHEI M., ABD-ALLAH, M. A.. "COMMENT ON AND A CHARACTERIZATION OF THE CONCEPT OF COMPLETE RESIDUATED LATTICE." Journal of Nonlinear Sciences and Applications, 1, no. 4 (2008): 203-205


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