On Gorenstein Algebras

1991 ◽  
pp. 389-404 ◽  
Author(s):  
Dieter Happel
Keyword(s):  
Gorenstein Algebras

scholarly journals A note on the subadditivity of Syzygies

2016 ◽  
Vol 16 (09) ◽  
pp. 1750177 ◽  
Author(s):  
Sabine El Khoury ◽  
Hema Srinivasan
Keyword(s):  
Free Resolution ◽  
Graded Algebra ◽  
Gorenstein Algebras

Let [Formula: see text] be a graded algebra with [Formula: see text] and [Formula: see text] being the minimal and maximal shifts in the minimal graded free resolution of [Formula: see text] at degree [Formula: see text]. We prove that [Formula: see text] for all [Formula: see text]. As a consequence, we show that for Gorenstein algebras of codimension [Formula: see text], the subadditivity of maximal shifts [Formula: see text] in the minimal graded free resolution holds for [Formula: see text], i.e. we show that [Formula: see text] for [Formula: see text].

scholarly journals Auslander–Gorenstein algebras and precluster tilting

2018 ◽  
Vol 326 ◽  
pp. 200-240 ◽  
Author(s):  
Osamu Iyama ◽  
Øyvind Solberg
Keyword(s):  
Gorenstein Algebras

On a problem about simple modules in Gorenstein algebras

2018 ◽  
Vol 502 ◽  
pp. 120-122
Author(s):  
René Marczinzik
Keyword(s):  
Simple Modules ◽  
Gorenstein Algebras

Dualities in Koszul graded Artin-Schelter Gorenstein algebras

2014 ◽  
Vol 8 ◽  
pp. 401-427
Author(s):  
R. Martinez-Villa
Keyword(s):  
Gorenstein Algebras
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