TY - JOUR
T1 - On Ext-indices of ring extensions
AU - Nasseh, Saeed
AU - Yoshino, Yuji
PY - 2009/7
Y1 - 2009/7
N2 - In this paper, we investigate the finiteness of Ext-indices for certain ring extensions. In this direction, we introduce some conjectures and discuss the relationships among them. We also prove these conjectures in some special cases. Furthermore, we prove that the trivial extension of an Artinian local ring by its residue class field is always of finite Ext-index, and prove a generalization of the Auslander-Reiten conjecture for this type of ring.
AB - In this paper, we investigate the finiteness of Ext-indices for certain ring extensions. In this direction, we introduce some conjectures and discuss the relationships among them. We also prove these conjectures in some special cases. Furthermore, we prove that the trivial extension of an Artinian local ring by its residue class field is always of finite Ext-index, and prove a generalization of the Auslander-Reiten conjecture for this type of ring.
UR - http://www.scopus.com/inward/record.url?scp=61749084808&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=61749084808&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2008.11.034
DO - 10.1016/j.jpaa.2008.11.034
M3 - Article
AN - SCOPUS:61749084808
SN - 0022-4049
VL - 213
SP - 1216
EP - 1223
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 7
ER -