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On \(f\)-modules. (English) Zbl 0858.46009

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 \(A\).

MSC:

46A40 Ordered topological linear spaces, vector lattices
46H05 General theory of topological algebras
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