In this paper we develop new reduction techniques for testing the finiteness of the finitistic
dimension of a finite dimensional algebra over a field. Viewing the latter algebra as a …

We study the category $\operatorname {Rep}(Q,\mathcal {C}) $ of representations of a
quiver $ Q $ with values in an abelian category $\mathcal {C} $. For this purpose we …

We study the category Rep (Q, C) of representations of a quiver Q with values in an abelian
category C. For this purpose we introduce the mesh and the cone-shape cardinal numbers …

We prove that if $ B\subseteq A $ is an extension of finite dimensional algebras such that the
projective dimension of $ A/B $ as a $ B $-bimodule is finite, then the finitistic dimension of …

We apply the notion of a full convex subcategory to a wide range of algebras including tilted,
quasi-tilted, shod, weakly shod, left and right glued, laura, simply connected, strongly simply …