Ring homomorphisms and local rings with quasi-decomposable maximal ideal

S Nasseh, KA Sather-Wagstaff… - Communications in …, 2024 - Taylor & Francis
The notion of local rings with quasi-decomposable maximal ideal was formally introduced by
Nasseh and Takahashi. In separate works, the authors of the present paper showed that …

Continuous Quivers of Type A (II) The Auslander-Reiten Space

J Rock - arXiv preprint arXiv:1910.04140, 2019 - arxiv.org
This work is the sequel to Continuous Quivers of Type A (I). In this paper we define the
Auslander-Reiten space of a continuous type $ A $ quiver, which generalizes the Auslander …

On modules with self Tor vanishing

O Celikbas, H Holm - Communications in Algebra, 2020 - Taylor & Francis
The long-standing Auslander and Reiten Conjecture states that a finitely generated module
over a finite-dimensional algebra is projective if certain Ext-groups vanish. Several authors …