“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
Paper IPM / M / 16042  


Abstract:  
Let k be a field and let R be a quadratic standard graded
kalgebra with dim R_2<4. We construct a graded
surjective Golod homomorphism from P to R such that P
is a complete intersection of codimension at most 3. Furthermore,
we show that R is absolutely Koszul (that is, every finitely
generated Rmodule has finite linearity defect) if and only if
R is Koszul if and only if R is not a trivial fiber extension of
a nonKoszul and nonArtinian quadratic algebra of embedding
dimension 3. In particular, we recover earlier results on the
Koszul property of Backelin, Conca and
D'Al`i.
Download TeX format 

back to top 