We prove that any cyclic Nakayama algebra which is a higher Auslander algebra can be
uniquely constructed from Nakayama algebras of smaller ranks by reversing the syzygy …

An artin algebra A is said to be a higher Auslander algebra provided the global dimension is
finite and bounded by the dominant dimension. We say that a linear Nakayama algebra is …

We introduce the class of dominant Auslander-Gorenstein algebras as a generalisation of
higher Auslander algebras and minimal Auslander-Gorenstein algebras, and give their …

The rigidity degree of a generator-cogenerator determines the dominant dimension of its
endomorphism algebra, and is closely related to a recently introduced homological …

We show that for a given Nakayama algebra $\Theta $, there exist countably many cyclic
Nakayama algebras $\Lambda_i $, where $ i\in\mathbb {N} $, such that the syzygy filtered …

We call a finite dimensional algebra A S-connected if the projective dimensions of the simple
A-modules form an interval. We prove that a Nakayama algebra A is S-connected if and only …

Linear Nakayama algebras over a field $ K $ are in natural bijection to Dyck paths and Dyck
paths are in natural bijection to 321-avoiding bijections via the Billey-Jockusch-Stanley …