A theorem and a question about epicomplete archimedean lattice-ordered groups.

Autor:	BALL, R. N., HAGER, A. W., JOHNSON, D. G., KIZANIS, A.
Předmět:	LATTICE theory ISOMORPHISM (Mathematics) GROUP theory ABSTRACT algebra SET theory
Zdroj:	Algebra Universalis; Feb2010, Vol. 62 Issue 2/3, p165-184, 20p
Abstrakt:	An archimedean ℓ-group is called epicomplete (or universally σ- complete, or sequentially inextensible) if it is divisible, σ-complete and laterally σ-complete. Various characterizations of such G are known in case the G have weak order units. The “theorem” of the title is a characterization of such G which have no weak order unit; it involves the requirement that G have a certain kind of representation. The “question” of the title is whether every epicomplete G has such a representation. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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