We give new improved bounds for the dominant dimension of Nakayama algebras and use
those bounds to give a classification of Nakayama algebras with n simple modules that are …

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

We consider certain generalizations of gentle algebras that we call semilinear locally gentle
algebras. These rings are examples of semilinear clannish algebras as introduced by the …

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 …

Dyck path categories are introduced as a combinatorial model of the category of
representations of quivers of Dynkin-type 𝔸 n. In particular, it is proved that there is a …

arXiv:2403.11359v1 [math.RT] 17 Mar 2024 Page 1 NAKAYAMA ALGEBRAS OF SMALL
HOMOLOGICAL DIMENSION AND PATTERN AVOIDING PERMUTATIONS VIKT ORIA KL ÁSZ1 …

Dynkin functions were introduced by Ringel as a tool to investigate combinatorial properties
of hereditary artin algebras. According to Ringel, a Dynkin function consists of four …

Representation theory is an area of mathematics that deals with abstract algebraic structures
and has numerous applications across disciplines. In this snapshot, we will talk about the …

In 1971 [4] Coxeter introduced the friezes patterns like an array such that the first and the last
row are zeroes, and every four adjacent numbers form the following square bacd which …