The object of this note is to study commutative noetherian n-Gorenstein rings. The first result
is: if each module satisfying Samuel's conditions $({{\text {a}} _i}) $ for some $ i\leqq n $ is an …

Let R be a commutative Noetherian ring. Let P (R)(respectively, I (R)) be the category of all
finite R-modules of finite projective (respectively, injective) dimension. Sharp [9] constructed …

A Note on Homological Dimensions of Artinian Local Cohomology Modules Page 1 Canad.
Math. Bull. Vol. 56 (3), 2013 pp. 491–499 http://dx.doi.org/10.4153/CMB-2011-197-9 c …

We define a dimension, called an FP-projective dimension, for modules and rings. It
measures how far away a finitely generated module is from being finitely presented, and …

Homological dimensions and Macaulay rings Page 1 Pacific Journal of Mathematics
HOMOLOGICAL DIMENSIONS AND MACAULAY RINGS GERSON LOUIS LEVIN AND …

This paper explores various notions of projective, injective, and flat dimensions, arising from
recent constructions of resolutions of unbounded complexes, proposed by N. Spaltenstein …

Cartan and Eilenberg [1, p. 961 call a functor T of several variables right balanced if T
becomes an exact functor of the remaining variables when any covariant variable is …

In this paper, let R be a commutative ring and C a semidualizing module. We investigate the
(weak) C-Gorenstein global dimension of R and we get a simple formula to compute the C …

We present various approaches to J. Herzog's theory of generalized local cohomology and
explore its main aspects, eg,(non-) vanishing results as well as a general local duality …

We present an alternative way of measuring the Gorenstein projective (resp., injective)
dimension of modules via a new type of complete projective (resp., injective) resolutions. As …