… We propose a definition of Gorenstein Differential Graded Algebra. In order to give examples,
we introduce the technical notion of Gorenstein morphism. This enables us to prove the …

… a new notion of ‘Gorenstein’ DG algebras. The natural problem … of Gorenstein, for the class
of DG algebras considered by … convention that the term ‘Gorenstein DG algebra’ is used in the …

… Suppose A is Gorenstein (with isolated singularity, and of positive dimension n). We
define the Jacobian algebra J(A) to bethe cyclic A-module (hence A-algebra) defined as …

… which graded algebras B occur as associated graded algebras A* for GA algebras A - …
Let TU : GorT - GT be the morphism from the family GorT of GA algebra quotients A of R = k [[…

… tiorrnai graded Gorensteinsingularities over a field of characteristic zero. We use the term
‘graded’ … Let k be a field of characteristic zero; a Pocal analytic k-algebra A with k = k,., : = A/tq4 …

… module M is called an algebra resolution if it admits a multiplication which makes it an
associative, commutative differential graded algebra. The concept of an algebra resolution was wx …

… As an application, we study a Gorenstein CDGA and its cohomology algebra. In Appendix
A, we recall the constructions of DG-projective resolutions and DGinjective resolutions. …

… we construct in a systematic way examples of AG algebras A for which H A ( a ) can have …
algebra that has no “exotic” summands (Theorem 2.7). We apply this to Gorenstein algebras …

… about Differential Graded Algebras and Differential Graded … the Differential Graded case
before providing some results on Recollement of DGAs, Dualising DG-modules and Gorenstein …

… 1 Suppose that A is a connected noetherian ASGorenstein algebra of injectie dimension d.
Let P be an ideal of A, be a graded algebra automorphism of ArP, and M be a finite right ArP-…