[PDF][PDF] Integer sequences arising from Auslander–Reiten quivers of some hereditary artin algebras

AM Cañadas, G Bravo Rios… - Journal of Algebra and Its …, 2021 - researchgate.net
The interest for a systematic study of the role of integer sequences in different fields of the
theory of representation of algebras has been growing up in the recent years. Perhaps …

[PDF][PDF] Almost Projective Modules over Artin Algebras

JS Park - Journal of the Chungcheong Mathematical Society, 1988 - ccms.or.kr
Almost Projective Modules over Artin Algebras Page 1 JOURNAL, OF THE CHUNG CHE
ONG MATHEMATICAL, SOCIETY Volume 1, June 1988 Almost Projective Modules over Artin …

[引用][C] Auslander-Reiten quivers for certain algebras of finite representation type

R Bautista, F Larrión - Journal of the London Mathematical …, 1982 - academic.oup.com
If A is an artin algebra, the Auslander-Reiten quiver of A, denoted by F= F (A), is defined in
the following way: the vertices of F (A) are the isomorphism classes [M] of indecomposable …

On the Degree in Categories of Complexes of Fixed Size

C Chaio, I Pratti, MJ Souto Salorio - Applied Categorical Structures, 2019 - Springer
We consider Λ Λ an artin algebra and n ≥ 2 n≥ 2. We study how to compute the left and
right degrees of irreducible morphisms between complexes in a generalized standard …

Examples of Auslander-Reiten components in the bounded derived category

S Scherotzke - arXiv preprint arXiv:0906.4987, 2009 - arxiv.org
We deduce a necessary condition for Auslander-Reiten components of the bounded derived
category of a finite dimensional algebra to have Euclidean tree class by classifying certain …

[HTML][HTML] The structure and homological properties of generalized standard Auslander–Reiten components

P Malicki, A Skowroński - Journal of Algebra, 2019 - Elsevier
We describe the structure and homological properties of arbitrary generalized standard
Auslander–Reiten components of artin algebras. In particular, we prove that for all but finitely …

[引用][C] From Morphism Categories to Functor Categories

H Eshraghi, R Hafezi - arXiv e-prints, 2023

d-Auslander–Reiten sequences in subcategories

F Fedele - Proceedings of the Edinburgh Mathematical Society, 2020 - cambridge.org
Let Φ be a finite-dimensional algebra over a field k. Kleiner described the Auslander–Reiten
sequences in a precovering extension closed subcategory of the form modulo the …

Preprojective modules and Auslander-Reiten components

S Liu - Communications in Algebra, 2003 - Taylor & Francis
Abstract Auslander and Smalø (Auslander, M., Smalø, SO (1980). Preprojective modules
over artin algebras. J. Algebra 66: 61–122) introduced and studied extensively preprojective …

[HTML][HTML] Degrees of irreducible morphisms in coherent almost cyclic Auslander–Reiten components

C Chaio, P Malicki, A Skowroński - Journal of Algebra, 2013 - Elsevier
Degrees of irreducible morphisms in coherent almost cyclic Auslander–Reiten components -
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