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 …

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

The notion of dominant dimension, äs introduced for finite-dimensional algebras over fields
by Nakayama [15] and Tachikawa [17], generalizes immediately to arbitrary rings: right …

Until now there has been no suitable dimension to measure how far a module deviates from
being uniserial. We define and study a new dimension, which we call uniserial dimension …

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 …

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 …

The left global dimension of a semiprime ring, with left Krull dimension α≥ 1 is found to be
the supremum of the projective dimensions of the p-critical cyclic modules where β≤ α. A …

Let (A, M) be a local ring, d (~) its (~ rull) dimension, e (A) its embedding dimension (ie the
dimension of M/M~ as a vector space over A/M), P~(x) its Hilbert-Samuel polynomial, m (A) …

Matrix Subrings Having Finite Global Dimension Page 1 JOURNAL OF ALGEBRA 109, 74-92
(1987) Matrix Subrings Having Finite Global Dimension ELLEN KIRKMAN AND JAMES …