Journal ArticleDOI
Representation theory of artin algebras VI: A functorial approach to aimost split sequences
Maurice Auslander,Idum Reiten +1 more
TLDR
In this article, a functorial approach to aimost split sequences is proposed for the representation theory of artin algebras, which is based on the idea of representation theory in algebra.Abstract:
(1978). Representation theory of artin algebras VI: A functorial approach to aimost split sequences. Communications in Algebra: Vol. 6, No. 3, pp. 257-300.read more
Citations
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Book ChapterDOI
Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors
Sheila Brenner,M. C. R. Butler +1 more
Journal ArticleDOI
Iterated tilted algebras of type $$\tilde {\mathbb{A}}_n $$
Ibrahim Assem,Andrzej Skowroński +1 more
Journal ArticleDOI
Matrix factorizations and representations of quivers II: Type ADE case
TL;DR: In this paper, a triangulated category of graded matrix factorizations for a polynomial of type ADE is studied and it is shown that it is equivalent to the derived category of finitely generated modules over the path algebra of the corresponding Dynkin quiver.
References
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Journal ArticleDOI
Representation Theory of Artin Algebras II
TL;DR: The Representation Theory of Artin Algebras II as mentioned in this paper has been applied to the representation theory of algebraic geometry, and it has been shown to be useful in algebraic representation theory.
Journal ArticleDOI
Representation theory of artin algebras iii almost split sequences
Maurice Auslander,Idun Reiten +1 more
TL;DR: In this paper, the representation theory of artin algebras iii almost split sequences is studied and the authors propose a representation theory for almost-split sequences in algebraic graphs.
Journal ArticleDOI
Representation theory of artin algebras IV1)Invariants given by almost split sequences
Maurice Auslander,Idun Reiten +1 more
TL;DR: The representation theory of artin algebras has been studied in this paper, where invariants given by almost split sequences have been studied as a special case of almost-split sequences.