We consider a class of extensions of both abstract and pseudocompact algebras, which we
refer to as" strongly proj-bounded extensions". We prove that the finiteness of the left global …

Given a finite-dimensional algebra A over a field k, Han's conjecture relates two homological
invariants associated to A: its global dimension and its Hochschild homology. In the …

It is shown that a singular equivalence induced by tensoring with a suitable complex of
bimodules defines a singular equivalence of Morita type with level, in the sense of Wang …

We describe how the Hochschild (co) homology of a bound quiver algebra changes when
deleting or adding arrows to the quiver. The main tools are relative Hochschild (co) …

We prove that a certain eventually homological isomorphism between module categories
induces triangle equivalences between their singularity categories, Gorenstein defect …

Homological invariants of the arrow removal operation Page 1 REPRESENTATION
THEORY An Electronic Journal of the American Mathematical Society Volume 26, Pages …

In this article, we investigate the Gorenstein global dimension with respect to the
recollements of abelian categories. With the invariants spli and silp of the categories, we …

We show that finitely generated cohomology is invariant under separable equivalences for
all algebras. As a result, we obtain a proof of the finite generation of cohomology for finite …

Over a finite-dimensional algebra A, simple A-modules that have projective dimension one
have special properties. For example, Geigle-Lenzing studied them in connection to …

We consider the smallest triangulated subcategory of the unbounded derived module
category of a ring that contains the injective modules and is closed under set indexed …