On the Yoneda algebras of piecewise-Koszul algebras

2015 ◽  
Vol 22 (1) ◽  
pp. 219-243
Author(s):  
Jun-Ru Si ◽  
Jia-Feng Lü
Keyword(s):  
Koszul Algebras ◽  
Yoneda Algebras

scholarly journals ON THE EXISTENCE OF A DERIVED EQUIVALENCE BETWEEN A KOSZUL ALGEBRA AND ITS YONEDA ALGEBRA

2014 ◽  
Vol 13 (04) ◽  
pp. 1350136
Author(s):  
R. M. AQUINO ◽  
E. N. MARCOS ◽  
S. TREPODE
Keyword(s):  
Sufficient Conditions ◽  
Derived Categories ◽  
Koszul Algebras ◽  
Derived Equivalence ◽  
Koszul Algebra ◽  
Yoneda Algebra ◽  
Hereditary Algebras ◽  
Yoneda Algebras ◽  
Necessary And Sufficient ◽  
Simply Connected

In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived equivalent to their Yoneda algebras. We have considered discrete Koszul algebras and we gave necessary and sufficient conditions for those Koszul algebras to be derived equivalent to their Yoneda algebras. We also study the class of Koszul algebras which are derived equivalent to hereditary algebras. For the case where the hereditary algebra is tame, we characterized the derived equivalence between those Koszul algebras and their Yoneda algebras.

scholarly journals Koszul algebras and flow lattices

2022 ◽  
Vol 185 ◽  
pp. 105534
Author(s):  
Zsuzsanna Dancso ◽  
Anthony M. Licata
Keyword(s):  
Koszul Algebras

Koszul Algebras and Their Ideals

2005 ◽  
Vol 39 (2) ◽  
pp. 120-130 ◽  
Author(s):  
D. I. Piontkovskii
Keyword(s):  
Koszul Algebras

Discrete Koszul Algebras

2010 ◽  
Vol 15 (2) ◽  
pp. 273-293 ◽  
Author(s):  
Jia-Feng Lü ◽  
Miao-Sen Chen
Keyword(s):  
Koszul Algebras

scholarly journals On a class of Koszul algebras associated to directed graphs

2006 ◽  
Vol 304 (2) ◽  
pp. 1114-1129 ◽  
Author(s):  
Vladimir Retakh ◽  
Shirlei Serconek ◽  
Robert Lee Wilson
Keyword(s):  
Directed Graphs ◽  
Koszul Algebras

scholarly journals Koszul Algebras Defined by Three Relations

2017 ◽  
pp. 53-68 ◽  
Author(s):  
Adam Boocher ◽  
S. Hamid Hassanzadeh ◽  
Srikanth B. Iyengar
Keyword(s):  
Koszul Algebras
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