On (Gorenstein) homological dimensions relative to a non-necessary semidualizing module.
Page 1 On (Gorenstein) homological dimensions relative to a non-necessary semidualizing …

A semi-dualizing module over a commutative noetherian ring A is a finitely generated
module C with RHomA (C, C)≃ A in the derived category D (A). We show how each such …

Modules of finite homological dimension with respect to a semidualizing module Page 1
Arch. Math. 93 (2009), 111–121 c© 2009 Birkhäuser Verlag Basel/Switzerland 0003-889X/09/020111-11 …

In the last years (Gorenstein) homological dimensions relative to a semidualizing module C
have been subject of several works as interesting extensions of (Gorenstein) homological …

Let S and R be rings and SCR a semidualizing bimodule. We investigate the relation
between the GC-syzygy with the C-syzygy of a module as well as the relation between the …

Let C be a semidualizing module for a commutative ring R. In this paper, we study the
resulting modules of finite GC-projective dimension in Bass class, showing that they admit …

A COURSE IN HOMOLOGICAL ALGEBRA Chapter **: Syzygies, Projective Dimension, Regular
Sequences, and Depth EL Lady (April 5, 19 Page 1 A COURSE IN HOMOLOGICAL ALGEBRA …

The classes of GC homological modules over commutative ring, where C is a semidualizing
module, extend Holm and J gensen's notions of C-Gorenstein homological modules to the …

Let R be a ring, and M a bimodule over R. The trivial extension R x M is as abelian group
R@ M and the multiplication is given by (I, m)(r', m')=(rr', rm'+ mr'). Palmer and Roos give in …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is proved
that FPD (R)= sup {GPC− pd R (M)| M∈ BC (R) and GPC− pd R (M)<∞}, which is a …