We define a dimension, called the finitely presented dimension, for modules and
commutative rings. This dimension has nice properties when the ring in question is …

Cohen-Macaulay dimension for modules over a commutative ring has been defined by AA
Gerko. That is a homological invariant sharing many properties with projective dimension …

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 …

THE HOMOLOGICAL DIMENSION OF A QUOTIENT FIELD Page 1 THE HOMOLOGICAL
DIMENSION OF A QUOTIENT FIELD IRVING KAPLANSKY In memory of Professor TAD Asi …

R denotes an associative ring with identity. Module means unitary right R-module. A module
has finite Goldie dimension over R if it does not contain an infinite direct sum of nonzero …

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

We investigate two invariants of Noetherian semiperfect rings, namely the depth and a new
invariant we call the “delooping level”. These give lower and upper bounds for the finitistic …

Let A be a commutative ring, and let I be an ideal of A. The cohomological dimension ofl in
A, denoted by cd (A, I), is the smallest integer n such that the local cohomology modules …

The duals of the Camillo-Zelmanowitz formulas for Goldie dimension are shown to hold for
Varadarajan's notion of corank, subject to the existence of certain cocomplements. In …

This paper is motivated by a recent work of C. Faith who has proved that a quotient finite
dimensional module which satisfies the ascending chain condition on subdirectly irreducible …