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math.GR2023
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…
math.GR2023
Representations and identities of Baxter monoids with involution
Bin Bin Han, Wen Ting Zhang, Yan Feng Luo +1
Let be the Baxter monoid of finite rank with Schützenberger's involution . In this paper, it is shown that …
math.RT2023
Representations and identities of hypoplactic monoids with involution
Bin Bin Han, Wen Ting Zhang, Yan Feng Luo +1
Let be the hypoplactic monoid of finite rank with Schützenberger's involution . In this paper, we exhibit a faithful representation of $…