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Representations of Finite-Dimensional Algebras
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Artikel-Nr:
9783540537328
Veröffentl:
1992
Seiten:
177
Autor:
Peter Gabriel
Gewicht:
490 g
Format:
235x188x35 mm
Serie:
73, Encyclopaedia of Mathematical Sciences
Sprache:
Englisch
Beschreibung:
From the reviews:
"... They (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, 1993
"... The standard of this text is high and will be definitely appreciated by the algebraic community." Monatshefte Mathematik, 1994
"..This book is very welcome because it presents some basic material and at the same time it presents some new insights of the theory. ..." Zentralblatt für Mathematik, 1996
"... They (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, 1993
"... The standard of this text is high and will be definitely appreciated by the algebraic community." Monatshefte Mathematik, 1994
"..This book is very welcome because it presents some basic material and at the same time it presents some new insights of the theory. ..." Zentralblatt für Mathematik, 1996
Es handelt sich hierbei um das erste Werk, das den behandelten Stoff in einem Band geschlossen darstellt. Die Autoren, Gabriel (Zürich) and Roiter (Kiev), sind für Ihre Beiträge auf diesem Gebiet weltweit bekannt. Dieser Band ist auf einem höheren Niveau geschrieben als EMS 11 (Algebra I) und kann unabhängig von den anderen Bänden der Algebra-Unterreihe gelesen werden. Dieser Band erscheint zum Teil deshalb vor anderen vorhergehenden Bänden der EMS, weil er direkt in Englisch geschrieben wurde.
The material covered here could until the appearance of the hardcover edition, published as EMS 73, only be found scattered about the literature. The authors, Gabriel (Zürich) and Roiter (Kiev), are widely known for their contributions to this field.
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.