Isolated and nilpotent subsemigroups in the variants of $\IS$

并非所有幂零幺半群都是有限相关的

Not all nilpotent monoids are finitely related

该研究探讨幂零幺半群的有限相关性问题，证明4-幂零幺半群均为有限相关，给出首个5-幂零非有限相关幺半群示例，还发现有限相关半群的子半群、同态像及Rees商可非有限相关。

刻画特定类型的最大交换（全与部分）变换半群

Characterizing the largest commutative (full and partial) transformation semigroups of certain types

本文刻画了有限集$X$上全变换半群$\mathcal{T}(X)$和部分变换半群$\mathcal{P}(X)$的多种最大交换子半群，提供了$\mathcal{T}(X)$幂零子半群的替代确定方法，并推导了二者交换图的团数、围长和编织度。

Combinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras

We construct new examples of non-nil algebras with any number of generators, which are direct sums of two locally nilpotent subalgebras. As all previously known examples, our examples are contracted semigroup algebras and the underlying semigroups are unions of locally nilpotent subsemigroups. In our constructions we make more transparent than in the past the close relationship between the considered problem and combinatorics of words.

关于有限有向和降序满变换的某些子半群

On certain subsemigroups of finite oriented and order-decreasing full transformations

本文研究有限有向和降序满变换的子半群ORD(n,r)，确定其基数、nilpotent元素数量、最小生成集和秩，并刻画每个r≥3时的极大子半群。

有界类幂零群中的单位元问题

The Identity Problem in nilpotent groups of bounded class

本文证明了在幂零类至多为十的单位三角矩阵群及任意有限生成幂零群中，单位元问题与群问题在多项式时间内可判定，并提出了推广至更高幂零类的充分条件及验证程序。

Inverse semigroups determined by their partial automorphism monoids

The partial automorphism monoid of an inverse semigroup is an inverse monoid consisting of all isomorphisms between its inverse subsemigroups. We prove that a tightly connected fundamental inverse semigroup $S$ with no isolated nontrivial subgroups is lattice determined "modulo semilattices" and if $T$ is an inverse semigroup whose partial automorphism monoid is isomorphic to that of $S$, then either $S$ and $T$ are isomorphic or they are dually isomorphic chains relative to the natural partial order; a similar result holds if $T$ is any semigroup and the inverse monoids consisting of all isom…