22
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Comments on monoreflections in unital archimedean lattice-ordered groups and rings

&
Pages 1093-1099 | Received 07 Aug 2015, Published online: 21 Dec 2016

References

  • Kirby A. Baker, Free vector lattices, Canad. J. Math. 20 (1968), 58–66.
  • Richard N. Ball, W. Wistar Comfort, Salvador García-Ferreira, Anthony W. Hager, Jan van Mill and Lewis C. Robertson, ϵ-spaces, Rocky Mountain J. Math. 25(3) (1995), 867–886.
  • Richard N. Ball and Anthony W. Hager, Epicompletion of Archimedean l-groups and vector lattices with weak unit, J. Austral. Math. Soc. Ser. A 48(1) (1990), 25–56. doi: 10.1017/S1446788700035175
  • Richard N. Ball and Anthony W. Hager, Algebraic extensions of an Archimedean latticeordered group, I., J. Pure Appl. Algebra 85(1) (), 1–20. 1993 doi: 10.1016/0022-4049(93)90167-R
  • R.N. Ball, A.W. Hager, D.G. Johnson and A. Kizanis, On the epicomplete monoreflection of an Archimedean lattice-ordered group, Algebra Universalis 54(4) (2005), 417–434. doi: 10.1007/s00012-005-1952-y
  • H. Cook, Continua which admit only the identity mapping onto non-degenerate subcontinua, Fund. Math. 60 (1967), 241–249.
  • Anthony W. Hager, Algebraic closures of l-groups of continuous functions, In: Rings of continuous functions (Cincinnati, Ohio, 1982), Lecture Notes in Pure and Appl. Math., Vol. 95, pp. 165–193, Dekker, New York, 1985.
  • Anthony W. Hager, A description of HSP-like classes, and applications, Pacific J. Math. 125(1) (1986), 93–102. doi: 10.2140/pjm.1986.125.93
  • Anthony W. Hager and James J. Madden, The H-closed monoreflections, implicit operations, and countable composition, in archimedean lattice-ordered groups with weak unit, Appl. Categ. Struct. 24 (2016), 605–617.
  • Anthony W. Hager and James J. Madden, Algebraic classes of abelian torsion-free and lattice-ordered groups, Bull. Greek Math. Soc. 25 (1984), 53–63.
  • Anthony W. Hager and James J. Madden, Monoreflections of Archimedean l-groups, regular σ-frames and regular Lindel¨of frames, Topology Appl. 153(16) (2006), 3169–3179.
  • Anthony W. Hager, Jorge Martinez and Cindy M. Monaco, The category of archimedean l-groups with strong unit, and some of its epireflections, submitted.
  • Anthony W. Hager and Lewis C. Robertson, Representing and ringifying a Riesz space, In: Symposia Mathematica, Vol. XXI (Convegno sulle Misure su Gruppi e su Spazi Vettoriali, Convegno sui Gruppi e Anelli Ordinati, INDAM, Rome, 1975), pp. 411–431, Academic Press, London, 1977.
  • Horst Herrlich and George E. Strecker, Category Theory: an introduction, Allyn and Bacon Series in Advanced Mathematics, Allyn and Bacon Inc., Boston, Mass., 1973.
  • J. Isbell, A closed non-reflective subcategory of compact spaces, manuscript c. 1971.
  • James Madden and J. Vermeer, Epicomplete Archimedean l-groups via a localic Yosida theorem, J. Pure Appl. Algebra (Special issue in honor of B. Banaschewski), 68(1–2) (1990), 243–252.
  • Niels Schwartz and James J. Madden, Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings, Lecture Notes in Mathematics, Vol. 1712, Springer-Verlag, Berlin, 1999.
  • Věra Trnková, Non-constant continuous mappings of metric or compact Hausdorff spaces, Commentationes Mathematicae Universitatis Carolinae 13 (1972), 283–295.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.