Filial rings on direct sums and direct products of torsion-free abelian groups
نویسندگان
چکیده
منابع مشابه
Cohomology Rings of Almost-direct Products of Free Groups
An almost-direct product of free groups is an iterated semidirect product of finitely generated free groups in which the action of the constituent free groups on the homology of one another is trivial. We determine the structure of the cohomology ring of such a group. This is used to analyze the topological complexity of the associated Eilenberg-Mac Lane space. 1. Almost direct products of free...
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We study properties of a group, abelian group, ring, or monoid B which (a) guarantee that every homomorphism from an infinite direct product ∏ I Ai of objects of the same sort onto B factors through the direct product of finitely many ultraproducts of the Ai (possibly after composition with the natural map B → B/Z(B) or some variant), and/or (b) guarantee that when a map does so factor (and the...
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ژورنال
عنوان ژورنال: Chebyshevskii sbornik
سال: 2021
ISSN: 2226-8383
DOI: 10.22405/2226-8383-2021-22-1-200-212