Alpay, Şafak; Turan, Bahri On \(f\)-modules. (English) Zbl 0858.46009 Rev. Roum. Math. Pures Appl. 40, No. 3-4, 233-241 (1995). Summary: Let \(A\) be an \(f\)-algebra with unit and \(L\) be a Riesz space which is an \(f\)-module over \(A\). Necessary and sufficient conditions are given for the centre \(Z(L)\) of \(L\) to be a quotient of the centre \(Z(A)\) of \(A\). Cited in 2 Documents MSC: 46A40 Ordered topological linear spaces, vector lattices 46H05 General theory of topological algebras Keywords:Riesz algebra; lattice ordered algebra; \(f\)-algebra with unit; Riesz space; \(f\)-module; centre; quotient PDFBibTeX XMLCite \textit{Ş. Alpay} and \textit{B. Turan}, Rev. Roum. Math. Pures Appl. 40, No. 3--4, 233--241 (1995; Zbl 0858.46009)