Let R and S be semiregular rings and U a semidualizing (R, S)-bimodule. We show that the
U-codominant dimensions of RU and US are identical. As an application, we get that the U …

Let C be a semidualizing module for a commutative ring R. It is shown that the-injective
dimension has the ability to detect the regularity of R as well as the-projective dimension. It …

We introduce and study the c. Noetherian dimension of an R− module A, denoted by cn−
dim (A), which is the Noetherian dimension of the partially ordered set (briefly, poset) of …

Let R and S be arbitrary rings and let CSR be a semidualizing bimodule, and let 𝒜 C⁢(R op)
and ℬ C⁢(R) be the Auslander and Bass classes, respectively. Then both pairs (𝒜 C⁢(R …

Let R and S be rings and RCS a semidualizing bimodule, and let T be a subcategory of the
Auslander class AC (S) and H={C⊗ ST| T∈ T}. Then for any left R-module M, the T …

Let A be a finite dimensional algebra over a field k. In this paper, we study dominant
dimension from the point of view of the idempotent ideals. The canonical A-bimodule V …

Let Λ and Γ be artin algebras and UΓΛ a faithfully balanced selforthogonal bimodule. We
show that the U-dominant dimensions of UΛ and UΓ are identical. As applications of the …

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 …

Codominant dimensions and Morita equivalences Page 1 Hokkaido Mathematical Journal
Vol. 6 (1977) p. Codominant dimensions and Morita equivalences By Takeshi ONODERA (Received …

Let R be a noetherian ring and S an excellent extension of R. cid (M) denotes the copure
injective dimension of M and cfd (M) denotes the copure flat dimension of M. We prove that if …