Representations of finite-dimensional algebras
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書誌事項
Representations of finite-dimensional algebras
Springer-Verlag, 1997
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注記
"Second printing 1997 of the first edition 1992, which was originally published as Algebra VIII, volume 73 of the Encyclopaedia of Mathematical Sciences"--T.p. verso
"Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, vol.73, Algebra 8, published VINIRI, Moscow"--T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette
目次
1. Matrix Problems.- 2. Algebras, Modules and Categories.- 3. Radical, Decomposition, Aggregates.- 4. Finitely Spaced Modules.- 5. Finitely Represented Posets.- 6. Roots.- 7. Representations of Quivers.- 8. Spectroids, Quivers, Coherence.- 9. Almost Split Sequences.- 10. Postprojective Components.- 11. Representations of Tame Quivers.- 12. Derivation and Tilting (by B. Keller).- 13. Multiplicative Bases.- 14. Finitely Represented Algebras.- List of Symbols.
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