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Titlebook: Ordered Algebraic Structures; Proceedings of the C W. Charles Holland,Jorge Martinez Conference proceedings 1997 Springer Science+Business

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楼主: Monroe
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Actions on Archimedean Lattice-Ordered Groups with Strong Unit, actions. We show that every such object is a subdirect product of elementary objects, and show explicitly how to construct all the finite subdirect products. We prove the existence and uniqueness of injective hulls in this category, and describe them to some extent. In particular, we characterize t
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Pointfree Topology and the Spectra of ,-Rings, of spectra, usually spaces of certain ideals, with some appropriate topology, such as prime ideals, maximal ideal, minimals prime ideals (of mere rings), irreducible ℓ-ideals, prime ℓ-ideals, maximal ℓ-ideals (of lattice ordered rings), and closed prime ideals (of topological rings).
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Commutative Singular ,-Rings,) One of the main results is that for such .-rings the following are equivalent: (a) . is semihereditary; (b) . is a Prüfer ring; (c) the weak dimension of . does not exceed 1; (d) every subring . of the maximum ring of quotients . which contains . is flat over .; (e) the lattice of all ideals of .
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The Automorphism Groups of Hahn Groups, methods developed for a better understanding of McLain groups in Roseblade [21] and extended recently by the authors in [9], [10] can also be used to gain some insight into Hahn groups and their automorphisms. We want to investigate this more closely in the main sections 2 and 3 of this paper.
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Ax-Kochen-Ershov Principles for Valued and Ordered Vector Spaces,g. We apply the results to determine the model theoretic properties of valued vector spaces (with variable base field) relative to that of their skeletons. We study the model theory of the skeletons in special cases. We apply the results to ordered vector spaces with compatible valuation.
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