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Publication:3922846
zbMath0469.20027MaRDI QIDQ3922846
Publication date: 1981
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
relationsgeneratorsKrull-Schmidt theoremdirect sums of modulesmodules over discrete valuation ringtotally projective p-groupscountable Abelian p-groupsmodules of torsion-free rank onesummands of simply presented modules
Valuations and their generalizations for commutative rings (13A18) Structure, classification theorems for modules and ideals in commutative rings (13C05) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Abelian groups (20K99)
Related Items (14)
Outer automorphisms of endomorphism rings of Warfield groups ⋮ The classification of \(\mathbb {Z}_p\)-modules with partial decomposition bases in \(L_{\infty \omega}\) ⋮ Subgroups of finite direct sums of valuated cyclic groups ⋮ Infinitary equivalence of \(\mathbb{Z}_p\)-modules with nice decomposition bases ⋮ On the structure of \(p\)-local abelian groups ⋮ Modules over discrete valuation domains. III ⋮ Partial Decomposition Bases and Global Warfield Groups ⋮ Characterizing a class of Warfield modules by relation arrays ⋮ Unique decomposition and isomorphic refinement theorems in additive categories ⋮ Almost-affable Abelian groups ⋮ Characterizations of Warfield groups ⋮ Every endomorphism of a local Warfield module of finite torsion-free rank is the sum of two automorphisms. ⋮ Toward the classification of mixed groups ⋮ Countable mixed Abelian groups with very nice full-rank subgroups
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