Titlebook: Extended Abstracts Spring 2015; Interactions between Dolors Herbera,Wolfgang Pitsch,Santiago Zarzuela Conference proceedings 2016 Springer

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Fulsome

Rigid and Test Modules,te is to report the following result: if a commutative Noetherian local ring . admits a test module (e.g., the residue field .) of finite Gorenstein dimension, then . is Gorenstein. This extended abstract is based on joint works with Celikbas et al. (Kyoto J Math 54:295–310, 2014) [.], Celikbas et a

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Homological Epimorphisms and the Lie Bracket in Hochschild Cohomology,nt of the algebra by a stratifying ideal. It is well-known that the morphisms in this long exact sequence are multiplicative. In this exposition, we will argue that those morphisms preserve the Lie bracket (and the squaring map) as well. It will turn out that this really just has to do with the fact