The radical of functorially finite subcategories
R Diyanatnezhad, A Nasr-Isfahani - Journal of Algebra, 2024 - Elsevier
Let Λ be an artin algebra and C be a functorially finite subcategory of mod Λ which contains
Λ or DΛ. We use the concept of the infinite radical of C and show that C has an additive …
Λ or DΛ. We use the concept of the infinite radical of C and show that C has an additive …
Degrees in Auslander–Reiten components with almost split sequences of at most two middle termss
C Chaio - Journal of Algebra and Its Applications, 2015 - World Scientific
We consider A to be an artin algebra. We study the degrees of irreducible morphisms
between modules in Auslander–Reiten components Γ having only almost split sequences …
between modules in Auslander–Reiten components Γ having only almost split sequences …
A generalization of the nilpotency index of the radical of the module category of an algebra
C Chaio, P Suarez - arXiv preprint arXiv:2308.12824, 2023 - arxiv.org
Let $ A $ be a finite dimensional representation-finite algebra over an algebraically closed
field. The aim of this work is to generalize the results proven in CGS. Precisely, we …
field. The aim of this work is to generalize the results proven in CGS. Precisely, we …
The radical of an n-cluster tilting subcategory
R Diyanatnezhad, A Nasr-Isfahani - arXiv preprint arXiv:2207.04225, 2022 - arxiv.org
Let $\Lambda $ be an artin algebra and $\mathcal {M} $ be an $ n $-cluster tilting
subcategory of mod $\Lambda $. We use the concept of the infinite radical of $\mathcal {M} …
subcategory of mod $\Lambda $. We use the concept of the infinite radical of $\mathcal {M} …
Module Categories of Small Radical Nilpotency
S Liu, Y Yin - Algebras and Representation Theory, 2024 - Springer
This paper aims to initiate a study of the representation theory of representation-finite artin
algebras in terms of the nilpotency of the radical of their module category. Firstly, we shall …
algebras in terms of the nilpotency of the radical of their module category. Firstly, we shall …
On stable equivalences, perfect exact sequences and Gorenstein-projective modules
S Nitsche - arXiv preprint arXiv:2109.12981, 2021 - arxiv.org
We consider the equivalence from the stable module category to a subcategory $\mathcal
{L} _A $ of the homotopy category constructed by Kato. This equivalence induces a …
{L} _A $ of the homotopy category constructed by Kato. This equivalence induces a …
The radical of a module category of string algebra
C Chaio, V Guazzelli - Communications in Algebra, 2017 - Taylor & Francis
We study how to read from the ordinary quiver of a representation-finite string algebra, the
minimal lower bound m≥ 1 such that the m th power of the radical of its module category …
minimal lower bound m≥ 1 such that the m th power of the radical of its module category …
Composition of irreducible morphisms in quasi-tubes
C Chaio, P Malicki - Journal of Algebra and Its Applications, 2017 - World Scientific
Composition of irreducible morphisms in quasi-tubes Page 1 Journal of Algebra and Its
Applications Vol. 16, No. 4 (2017) 1750071 (24 pages) c© World Scientific Publishing Company …
Applications Vol. 16, No. 4 (2017) 1750071 (24 pages) c© World Scientific Publishing Company …
Problems solved by using degrees of irreducible morphisms
C Chaio - Contemporary Mathematics, 2014 - books.google.com
Problems solved by using degrees of irreducible morphisms Page 188 Contemporary
Mathematics Volume 607 , 2014 http://dx. doi. org/10.1090/conm/607/12077 Problems solved …
Mathematics Volume 607 , 2014 http://dx. doi. org/10.1090/conm/607/12077 Problems solved …
On the radical of the module category of an endomorphism algebra
C Chaio, V Guazzelli - Algebras and Representation Theory, 2020 - Springer
Given a finite dimensional algebra A over an algebraically closed field we study the
relationship between the powers of the radical of a morphism in the module category of the …
relationship between the powers of the radical of a morphism in the module category of the …