Zeyada, Fathei M.; Abd-Allah, M. A. Comment on and a characterization of the concept of complete residuated lattice. (English) Zbl 1158.42302 J. Nonlinear Sci. Appl. 1, No. 4, 203-205 (2008). Summary: We prove that some properties of the definition of complete residuated lattice can be derived from the other properties. Furthermore we prove that the concept of strictly two-sided commutative quantale and the concept of complete residuated lattice are equivalent notions. MSC: 42A20 Convergence and absolute convergence of Fourier and trigonometric series 42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) Keywords:complete residuated lattice; quantale; complete MV-algebra PDFBibTeX XMLCite \textit{F. M. Zeyada} and \textit{M. A. Abd-Allah}, J. Nonlinear Sci. Appl. 1, No. 4, 203--205 (2008; Zbl 1158.42302) Full Text: DOI EuDML EMIS