Let A be a finite dimensional algebra over an algebraically closed field k. Suppose that the
Auslander-Reiten quiver r of A is finite and contains no oriented cycles, Let S be a simple A …

On the Extension-Closed Property for the Subcategory Tr(Ω2(mod −A)) Page 1 Algebras and
Representation Theory (2023) 26:1433–1440 https://doi.org/10.1007/s10468-022-10140-7 …

1. Introduction. This paper deals with the finite-dimensional algebras Σ over an algebraically
closed field k whose derived category Db (mod (Σ)) of the category mod (Σ) of finite …

The aim of the present paper is to demonstrate the usefulness of aisles for studying the tilting
theory of Db (modA), where A is a finitedimensional algebra. In section 1, we establish the …

Abstract C. Ingalls and H. Thomas defined support tilting modules for path algebras. From τ τ-
tilting theory introduced by T. Adachi, O. Iyama and I. Reiten, a partial order on the set of …

Happel and Unger reconstructed hereditary algebras from their posets of tilting modules.
Inspired by this result, we try removing the assumption to be hereditary. However, it would …

Let A be an artin algebra and modA the category of finitely generated A-modules. Unless
stated to the contrary, by a subcategory C of a category we mean a full subcategory of an …

Abstract top Given the category X of coherent sheaves over a weighted projective line X= X
(λ, p)(of any representation type), the endomorphism ring Σ=(𝒯) of an arbitrary tilting sheaf …

We study the class of algebras having a path of nonisomorphisms from an indecomposable
injective module to an indecomposable projective module and any such path is bounded by …

The theory for tilting and cotilting modules has its roots in the representation theory of finite
dimensional algebras (artin algebras) generalizing Morita equivalence and duality. First …