TY - JOUR
T1 - A functorial approach to modules of G-dimension zero
AU - Yoshino, Yuji
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2005
Y1 - 2005
N2 - Let R be a commutative Noetherian ring and let script G sign be the category of modules of G-dimension zero over R. We denote the associated stable category by script G sign. We show that the functor category mod script G sign is a Frobenius category and use this property to characterize script G sign as a subcategory of mod R.
AB - Let R be a commutative Noetherian ring and let script G sign be the category of modules of G-dimension zero over R. We denote the associated stable category by script G sign. We show that the functor category mod script G sign is a Frobenius category and use this property to characterize script G sign as a subcategory of mod R.
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U2 - 10.1215/ijm/1258138022
DO - 10.1215/ijm/1258138022
M3 - Article
AN - SCOPUS:28444442590
SN - 0019-2082
VL - 49
SP - 345
EP - 367
JO - Illinois Journal of Mathematics
JF - Illinois Journal of Mathematics
IS - 2
ER -