In this paper we study homological dimensions of finitely generated modules over
commutative Noetherian local rings, called reducing homological dimensions. We obtain …

In this paper we are concerned with certain invariants of modules, called reducing
invariants, which have been recently introduced and studied by Araya-Celikbas and Araya …

If M is a nonzero finitely generated module over a commutative Noetherian local ring R such
that M has finite injective dimension and finite Gorenstein dimension, then it follows from a …

In this paper, we are concerned with certain invariants of modules, called reducing
invariants, which have been recently introduced and studied by Araya–Celikbas and Araya …

We prove that the depth formula holds for two finitely generated Tor-independent modules
over Cohen-Macaulay local rings if one of the modules considered has finite reducing …

Homological dimensions such as the projective dimension pd, Gorenstein dimension Gdim,
complete intersection dimension CIdim, etc., play important role in commutative algebra. For …