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Fixed points of orientation-preserving full transformation
Yang An, Wen Ting Zhang, Yi He
Let be the monoid of all orientation-preserving full transformations on with the natural order. For , let $F(α)=\{y\in…
Probabilistic results for monoids of order-preserving transformations
Yang An, Wen Ting Zhang
Let be the monoid of all order-preserving partial transformations on with the natural order, and let and den…
Finite basis problem for involution semigroups of order four
Meng Gao, Wen Ting Zhang, Yan Feng Luo
Recently, we have found a non-finitely based involution semigroup of order five. It is natural to question what is the smallest order of non-finitely based involution semigroups. I…
Representations and identities of involution Plactic-like monoids arising from the meet of the stalactic congruence and its dual
Bin Bin Han, Wen Ting Zhang, Yan Feng Luo
Let be the plactic-like monoid obtained by factoring the free monoid over a finite alphabet by the meet of the stalactic congruence and its dual. I…
Characterization of Cross varieties of -trivial monoids
Sergey V. Gusev, Edmond W. H. Lee, Wen Ting Zhang
A finitely based, finitely generated variety with finitely many subvarieties is a Cross variety. In the present article, it is shown that a variety of -trivial monoids is Cross…