GLOBAL DIMENSION OF RING T=((R)(N) (M)(S)) ((THETA,) (PSI))

Authors
HAO ZF TONG WT
Citation
Zf. Hao et Wt. Tong, GLOBAL DIMENSION OF RING T=((R)(N) (M)(S)) ((THETA,) (PSI)), Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 38(9), 1995, pp. 1025-1032
Citations number
5
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
38
Issue
9
Year of publication
1995
Pages
1025 - 1032
Database
ISI
SICI code
1001-6511(1995)38:9<1025:GDORT(>2.0.ZU;2-W
Abstract
Let [GRAPHICS] be a left Noetherian ring, and M a flat right S-module. It is proved that max {LGD(R), LGD(S)}less than or equal to LGD(T)les s than or equal to 1+max{LGD(S), 1+pd(N-s)+LGD(R/MN)}.