شماره ركورد كنفرانس :
5101
عنوان مقاله :
Projective Dimension over Regular Local Rings
پديدآورندگان :
Vahdanipour Farzaneh University of Mohaghegh Ardabili
كليدواژه :
Complete local ring , Flat resolution , Free resolution , Noetherian ring , Injective resolution , Regular ring
عنوان كنفرانس :
پنجاه و يكمين كنفرانس رياضي ايران
چكيده فارسي :
Let (R;m; k) be a regular local ring and M be a nitely generated R-module. We prove some homological results using some basic properties of homomorphisms between injective modules. Assume that n 1 is an integer such that TorRn (M; k) ≃ k. It is shown that pdRM = n.
