Recognizing dualizing complexes

@article{PeterJørgensen2003,
abstract = {Let A be a noetherian local commutative ring and let M be a suitable complex of A-modules. It is proved that M is a dualizing complex for A if and only if the trivial extension A ⋉ M is a Gorenstein differential graded algebra. As a corollary, A has a dualizing complex if and only if it is a quotient of a Gorenstein local differential graded algebra.},
author = {Peter Jørgensen},
journal = {Fundamenta Mathematicae},
keywords = {noetherian local ring; dualizing complex; Gorenstein differential graded algebra; dualizing differential graded module},
language = {eng},
number = {3},
pages = {251-259},
title = {Recognizing dualizing complexes},
url = {http://eudml.org/doc/282909},
volume = {176},
year = {2003},
}

TY - JOUR
AU - Peter Jørgensen
TI - Recognizing dualizing complexes
JO - Fundamenta Mathematicae
PY - 2003
VL - 176
IS - 3
SP - 251
EP - 259
AB - Let A be a noetherian local commutative ring and let M be a suitable complex of A-modules. It is proved that M is a dualizing complex for A if and only if the trivial extension A ⋉ M is a Gorenstein differential graded algebra. As a corollary, A has a dualizing complex if and only if it is a quotient of a Gorenstein local differential graded algebra.
LA - eng
KW - noetherian local ring; dualizing complex; Gorenstein differential graded algebra; dualizing differential graded module
UR - http://eudml.org/doc/282909
ER -