Continuing an earlier examination of the codominant dimension of rings and modules, a
categorical characterization is given for rings of equivalent dominant and codominant …

Expanding Nakayama's original concept of dominant dimension, Tachikawa, Müller and
Kato have obtained a number of results pertaining to finite dimensional algebras and more …

Page 1 NUMBER I77 T PH TO X /\!tal r" < - c: * Lu - -: *- < > KR Goodedr! and Ann K. Boyle
Dimension theory for nonsingular injective modules N/UEN/UOIRS OF THE AN/UERICAN N/UATHEN/UATICAL …

Recently Tachikawa[8] has proved that, if R is a ring of dominant dimension•† 1, then domi.
dim. RR•† 2 if and only if the injective hull E (RR) of RR has the double centralizer property …

Introduction. For a ring S, let FPD (S) denote the right finitistic projective dimension of S, that
isr the supremum of the finite projective dimensions of right S-modules. If S is a projective …

On dominant and codominant dimension of QF-3 rings Page 1 Pacific Journal of Mathematics
ON DOMINANT AND CODOMINANT DIMENSION OF QF−3 RINGS DAVID A. HILL Vol. 49, No …

If R is a ring with unit and A is a unitary left R-module, then homological. algebra attaches
three dimensions to A-projec-tive, weak, and injective. By taking the supremum of one of the …

Introduction. Let A be a ring with identity and V a left A-module. Then there is the canonical
ring-homomorphism of A into the double centralizer of V and V is said to have the double …

For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

An extension is given of the theorem relating projective dimension to depth for a finitely
generated module of finite projective dimension over a commutative Noetherian local ring …