ABSTRACT
Let
A
=
A
0
⊕
A
1
⊕
A
2
⊕ ··· be a graded
K
-algebra such that
A
0
is a finite product of copies of the field K,
A
is generated in degrees 0 and 1,and dim
K
A
1
< ∞. We study those graded algebras
A
with the property that
A
0
, viewed as a graded
A
-module, has a graded projective resolution, , such that each
P
i
can be generated in a single degree. The paper describes necessary and sufficient conditions for the Ext-algebra of
A
,
, to be finitely generated. We also investigate classes of modules over such algebras and Veronese subrings of the Ext-algebra.
Mathematics Subject Classification:
ACKNOWLEDGMENTS
The first author was partially support by a grant from the National Security Agency. The second author wants to thank CNPq (Brazil), for financial support, in form of a productivity scholarship.
Notes
#Communicated by M. Ferrero.