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The Archimedean ℓ-group tensor product

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Abstract

We introduce a construction (inZ F-set theory) for the Archimedean ℓ-group tensor product. We relate this tensor product to the existing ones in the theory of Archimedean vector lattices and ℓ-groups.

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References

  1. Marlow Anderson and Todd Feil (1987)Lattice-Ordered Groups. An Introduction, D. Reidel Publishing Company, Dordrecht, The Netherlands.

    Google Scholar 

  2. G. Birkhoff (1968)Lattice Theory 3rd Edn, AMS Coll. Publ. 25.

  3. R. Bleier (1971) Minimal vector lattice cover,Bull. Aust. Math. Soc. 5 331–355.

    Google Scholar 

  4. G. Buskes and A. van Rooij (1989) Small Riesz spaces,Math. Proc. Camb. Phil. Soc. 105, 523–536.

    Google Scholar 

  5. G. Buskes and A. van Rooij (1991) Sur l'espace de Riesz enveloppant, C. R. Acad. Sci. Paris312, Série I, 109–111.

    Google Scholar 

  6. D. H. Fremlin (1972) Tensor products of Archimedean vector lattices,Amer. J. of Math. 94, 777–798.

    Google Scholar 

  7. J.J. Grober and C.C.A. Labuschange (1988) The tensor product of Archimedean ordered spaces,Math. Proc. Camb. Phil. Soc. 104, 331–345.

    Google Scholar 

  8. J.J. Grober and C.C.A. Labuschange, Anf-algebra approach to the Riesz space tensor products, Preprint.

  9. Sanders MacLean (1963)Homology, Springer Verlag, New York.

    Google Scholar 

  10. J. Martinez (1972) Tensor products of partially ordered groups,Pac. J. Math. 41, 771–789.

    Google Scholar 

  11. H. H. Schaefer (1980) Aspects of Banach lattices,MMA Studies in Math. 21, Washington D.C., 158–221.

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Authors and Affiliations

  1. Department of Mathematics, The University of Mississippi, 38677, University, MS, USA

    G. J. H. M. Buskes

  2. Department of Mathematics, Catholic University, Toernooiveld, 6525 ED, Nijmegen, The Netherlands

    A. C. M. Van Rooij

Authors
  1. G. J. H. M. Buskes
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  2. A. C. M. Van Rooij
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Communicated by K. Keimel

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Buskes, G.J.H.M., Van Rooij, A.C.M. The Archimedean ℓ-group tensor product. Order 10, 93–102 (1993). https://doi.org/10.1007/BF01108711

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  • DOI: https://doi.org/10.1007/BF01108711

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