Concepedia

Ext-algebras and derived equivalences

Dag Madsen

Colloquium Mathematicum · 2006 · 13 citations · 5 references

DOIFull text

Open access

Concepts

Abstract

Using derived categories, we develop an alternative approach to defining Koszulness for positively graded algebras where the degree zero part is not necessarily semisimple.

References

5

Koszul Duality Patterns in Representation Theory

Alexander Beilinson, Victor Ginzburg, Wolfgang Soergel · Journal of the American Mathematical Society · 1996 · 1K citations · Full text

, , +6

Homotopy limits in triangulated categories

Marcel Bökstedt, Amnon Neeman · French digital mathematics library (Numdam) · 1993 · 445 citations

, , +11

On a Generalized Version of the Nakayama Conjecture

Maurice Auslander, Idun Reiten · Proceedings of the American Mathematical Society · 1975 · 45 citations

, , +2

Dualities on generalized Koszul algebras

Edward L. Green, Idun Reiten, Øyvind Solberg · Memoirs of the American Mathematical Society · 2002 · 43 citations · Full text

, , +8

Graded, Selfinjective, and Koszul Algebras

Roberto Martínez-Villa · Journal of Algebra · 1999 · 32 citations

, , +10