Counting equivalence classes of irreducible representations

Counting relations on Ockham algebras

We find all finite Ockham algebras that admit only finitely many compatible relations (modulo a natural equivalence). Up to isomorphism and symmetry, these Ockham algebras form two countably infinite families: one family consists of the quasi-primal Ockham algebras, and the other family is a sequence of generalised Stone algebras.

Irreducible representations of the quantum Weyl algebra at roots of unity given by matrices

To describe the representation theory of the quantum Weyl algebra at an $l$th primitive root $γ$ of unity, Boyette, Leyk, Plunkett, Sipe, and Talley found all nonsingular irreducible matrix solutions to the equation $yx-γxy=1$, assuming $yx\neq xy$. In this note, we complete their result by finding and classifying, up to equivalence, all irreducible matrix solutions $(X, Y)$, where $X$ is singular.

一种计算 $U_{6n}$ 中所有（正规）模糊子群数量的算法

An algorithm for counting number of all (normal) fuzzy subgroups in $U_{6n}$

本文基于 $U_{6n}$ 群子群结构的已知结果，提出一种动态规划算法，用于在特定等价关系下计算其所有正规模糊子群的数量。

单边子位移代数的不可约表示

Irreducible representations of one-sided subshift algebras

本文构造了任意字母表上子位移相关有单位代数的表示，用无出口循环描述其忠实性准则，刻画不可约分量等价性，并确定与线路径相关的极小左理想。