TY - JOUR
T1 - On Modules with Reducible Complexity
AU - Celikbas, Olgur
AU - Sadeghi, Arash
AU - Endo, Naoki
PY - 2019/1/1
Y1 - 2019/1/1
N2 - In this paper we generalize a result, concerning a depth equality over local rings, proved independently by Araya and Yoshino, and Iyengar. Our result exploits complexity, a concept which was initially defined by Alperin for finitely generated modules over group algebras, introduced and studied in local algebra by Avramov, and subsequently further developed by Bergh.
AB - In this paper we generalize a result, concerning a depth equality over local rings, proved independently by Araya and Yoshino, and Iyengar. Our result exploits complexity, a concept which was initially defined by Alperin for finitely generated modules over group algebras, introduced and studied in local algebra by Avramov, and subsequently further developed by Bergh.
KW - Auslander transpose
KW - Complexity
KW - Depth formula
KW - Reducible complexity
KW - Vanishing of Ext and Tor
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U2 - 10.1007/s10468-019-09899-z
DO - 10.1007/s10468-019-09899-z
M3 - Article
AN - SCOPUS:85066903368
SN - 1386-923X
JO - Algebras and Representation Theory
JF - Algebras and Representation Theory
ER -