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Lattice-Ordered Algebras and f-Algebras: A Survey

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Positive Operators, Riesz Spaces, and Economics

Part of the book series: Studies in Economic Theory ((ECON.THEORY,volume 2))

Abstract

In this paper we present a survey of results on lattice-ordered algebras, particularly on f-algebras, almost f-algebras, and d-algebras. Example 1.2(v) and the description of nilpotents in various complex lattice- ordered algebras (Section 6) have not appeared before.

Work on this paper was done when the author was a Visiting Professor at the California Institute of Technology, Pasadena, during the spring of 1990.

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Huijsmans, C.B. (1991). Lattice-Ordered Algebras and f-Algebras: A Survey. In: Positive Operators, Riesz Spaces, and Economics. Studies in Economic Theory, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58199-1_7

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  • DOI: https://doi.org/10.1007/978-3-642-58199-1_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63502-1

  • Online ISBN: 978-3-642-58199-1

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