“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 15658
School of Mathematics
  Title:   Cohen-Macaulay homological dimensions
  Author(s):  Tirdad Sharif (Joint with P. Sahandi and S. Yassemi)
  Status:   Published
  Journal: Math. Scand.
  Vol.:  126
  Year:  2020
  Pages:   189-208
  Supported by:  IPM
  Abstract:
We introduce new homological dimensions, namely the Cohen- Macaulay projective, injective and flat dimensions for homologically bounded complexes. Among other things we show that (a) these invariants charac- terize the Cohen-Macaulay property for local rings, (b) Cohen-Macaulay flat dimension fits between the Gorenstein flat dimension and the large restricted flat dimension, and (c) Cohen-Macaulay injective dimension fits between the Gorenstein injective dimension and the Chouinard invariant.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right