Finite rank torsion free Abelian groups and rings
著者
書誌事項
Finite rank torsion free Abelian groups and rings
(Lecture notes in mathematics, 931)
Springer-Verlag, 1982
- : Berlin
- : New York
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注記
Bibliography: p. [178]-189
Includes index
内容説明・目次
目次
Notation and preliminaries.- Types and rank-1 groups.- Examples of indecomposable groups and direct sums.- Endomorphism rings and decompositions of rank 2 groups.- Pure subgroups of completely decomposable groups.- Homogeneous completely decomposable groups and generalizations.- Completely decomposable groups and generalizations.- Additive categories, quasi-isomorphism and near-isomorphism.- Stable range, substitution, cancellation, and exchange properties.- Subrings of finite dimensional Q-algebras.- Orders in finite dimensional simple Q-algebras.- Maximal orders in finite dimensional simple Q-algebras.- Near isomorphism and genus class.- Grothendieck groups.- Additive groups of subrings of finite dimensional Q-algebras.- Q-simple and p-simple groups.
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