書誌事項

Representations of finite-dimensional algebras

A.I. Kostrikin, I.R. Shafarevich (eds.)

(Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 73 . Algebra ; 8)

Springer-Verlag, c1992

  • : gw
  • : us

タイトル別名

Algebra 8

Algebra VIII

Algebra eight

Алгебра 8

大学図書館所蔵 件 / 121

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注記

Title of the Russian ed.: Algebra 8, issued in serial: Itogi nauki i tekhniki. Serii︠a︡ Sovremennye problemy matematiki. Fundamentalʹnye napravlenii︠a︡, vol. 73

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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