منابع مشابه
The Bredon–Löffler Conjecture
Greenlees thanks the University of She eld for URF grant number RSG/339. The large commutative diagrams in this article were typeset using Paul Taylor's diagram package. We give a brief exposition of results of Bredon and others on passage to fixed points from stable C2 equivariant homotopy (where C2 is the group of order two) and its relation to Mahowald’s root invariant. In particular we give...
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Let R be an associative ring with identity. It is shown that every Σ -cotorsion left R-module satisfies the descending chain condition on divisibility formulae. If R is countable, the descending chain condition on M implies that it must be Σ -cotorsion. It follows that, for countable R, the class of Σ -cotorsion modules is closed under elementary equivalence and pure submodules. The modules M t...
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We give a characterization of Σ-cotorsion modules over valuation domains in terms of descending chain conditions on certain chains of definable subgroups. We prove that pure submodules, direct products and modules elementarily equivalent to a Σ-cotorsion module are again Σ-cotorsion. Moreover, we describe the structure of Σ-cotorsion modules.
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ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2014
ISSN: 1661-7207
DOI: 10.4171/ggd/232