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Information Journal Paper

Title

THE PROJECTABLE HULL OF AN ARCHIMEDEAN L-GROUP WITH WEAK UNIT

Pages

  165-179

Abstract

 The much-studied PROJECTABLE hull of an l-group G£pG is an essential extension, so that, in the case thatG is archimedean with weak unit, “G ÎW”, we have for the YOSIDA REPRESENTATION spaces a “covering map” Y G ¬Y pG. We have earlier [8] shown that (1) this cover has a characteristic minimality property, and that (2) knowingY pG, one can write downpG. We now show directly that for A, the boolean algebra in the power set of the MINIMAL PRIME SPECTRUM Min (G), generated by the sets U(g) = {P Î Min (G): g  Ï P} (g ÎG), the Stone space SA is a cover of Y Gwith the minimal property of (1); this extends the result from [1] for the strong unit case. Then, applying (2) gives the pre-existing description ofpG, which includes the strong unit description of [1]. The present methods are largely topological, involving details of covering maps and Stone duality.

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    APA: Copy

    HAGER, ANTHONY W., & MCGOVERN, WARREN WM.. (2017). THE PROJECTABLE HULL OF AN ARCHIMEDEAN L-GROUP WITH WEAK UNIT. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 7(SUPP.), 165-179. SID. https://sid.ir/paper/255411/en

    Vancouver: Copy

    HAGER ANTHONY W., MCGOVERN WARREN WM.. THE PROJECTABLE HULL OF AN ARCHIMEDEAN L-GROUP WITH WEAK UNIT. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2017;7(SUPP.):165-179. Available from: https://sid.ir/paper/255411/en

    IEEE: Copy

    ANTHONY W. HAGER, and WARREN WM. MCGOVERN, “THE PROJECTABLE HULL OF AN ARCHIMEDEAN L-GROUP WITH WEAK UNIT,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 7, no. SUPP., pp. 165–179, 2017, [Online]. Available: https://sid.ir/paper/255411/en

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