What people are saying - Write a review
We haven't found any reviews in the usual places.
Subgroups of Bounded Abelian Groups
A Combinatorial Theorem and Endomorphism Rings of Abelian Groups II 37
32 other sections not shown
Other editions - View all
A-projective Abelian Group Theory aEqi algebraically compact artinian ascending chain assume automorphism cardinal choose commutative completely decomposable group contains contradiction Corollary countable cyclic groups decomposition define denote direct sum direct summand divisible R-module E-uniserial elements endomorphism ring equivalent exact sequence exists extends finite rank free modules Fuchs functor group G Hence homomorphism implies induces infinite injective cogenerator injective hull integer isomorphic Jacobson radical lattice Lecture Notes Lemma Let G linearly compact Math maximal ideals morphism noetherian noetherian rings nonzero nsr+(G ordinal p-group p-indicator prime proj projective dimension projective modules Proof Proposition prove pure subgroup pure submodule pure-injective quotient R-module result satisfies simply presented socle strongly indecomposable strongly S-straight subgroup of G subset sum of copies sum of cyclic Suppose Theorem topology torsion group torsionfree cancellation totally projective valuated group vector space