… Finally we investigate when a Morita ring is a Gorenstein Artin … , any upper or lower triangular
matrix ring is a Morita ring. … and the category of A-modules of finite injective dimension, we …

… to the module category of a Gorenstein ring, we prove that the complete intersections over
which … of objects of Gorenstein projective dimension at most n. Every resolving subcategory …

… Let R be a ring and X a complex of R-modules. We give some characterizations of the
dimension of X related to special Gorenstein projective precovers. Let R be a ring such that ( G P , …

… is a smooth quasi-projective 3-dimensional variety over C, Y is Gorenstein, and f is birational,
with … The length [9] l(C) of C can be defined to be the length of the structure sheaf of C at the …

… flat modules and Gorenstein flat modules, the classes of Gorenstein projective modules and
Gorenstein … limited to: the category of modules or complexes over a triangular matrix ring, the …

… To prove this proposition we use the BZ triangles to keep track of the dimension of the space
of invariants (V (α) ⊗ V (β) ⊗ V (γ))sl3 (C). To the minimum triangle Qmin(α,β,γ) above we …

… For an upper triangular square matrix M of size d+1 with non-… as the rank matrix for some
Artinian Gorenstein algebra A and … finite length R-modules? If so, what class of finite finite R-…

… the periodic dimension of an eventually periodic Gorenstein algebra viewed as a regular
bimodule. … The moduli of 4-dimensional subalgebras of the full matrix ring of degree 3 Kazunori …

… is isomorphic to an algebra of matrices over C. Generalizing this and … ring is isomorphic to a
matrix ring over a division ring. … of a division ring which is infinite-dimensional over its center. …

… rings (10.4), or a domain of transcendence degree 1 over a field (10.5), etc. We also list some
matrix cancellable rings … noncommutative Krull dimension of rings and modules is sketched …