Let R be a two-sided noetherian ring. Auslander and Bridger developed a theory of
projective stabilization of the category of finitely generated R-modules, which is called the …

Let R be a commutative noetherian ring. We denote by modR the category of finitely
generated R-modules and by projR the full subcategory of modR consisting of finitely …

Auslander and Bridger introduced the notion of projective stabilization modR of a category of
finite modules. The category modR is known to be non-abelian. But realistically, modR is …

It is proved that, for a left hereditary ring, an arbitrary left module has a representation in the
form of the direct sum of a stable left module and indecomposable projective left modules (if …

We develop in this paper the stable theory for projective complexes, by which we mean to
consider a chain complex of finitely generated projective modules as an object of the factor …

We investigate stable homology of modules over a commutative noetherian ring R with
respect to a semidualzing module C, and give some vanishing results that improve/extend …

Given a semiperfect two-sided noetherian ring Λ, we study two subcategories $ 𝓐_k
(Λ)={M∈ mod Λ| Ext_ {Λ}^{j}(Tr M, Λ)= 0 (1≤ j≤ k)} $ and $ 𝓑_k (Λ)={N∈ mod Λ| Ext …

Auslander and Bridger [Stable module theory, Memoirs of the American Mathematical
Society, No. 94, American Mathematical Society, Providence, RI, 1969] introduced the …

We study classes of modules closed under direct sums, $\mathcal {M} $-submodules and
$\mathcal {M} $-epimorphic images where $\mathcal {M} $ is either the class of embeddings …

Let (S; n) be a commutative noetherian local ring and let w in n be non-zero divisor. This
paper is concerned with the two categories of monomorphisms between finitely generated …