Up to isomorphism, there exist two non-isomorphic two-element monoids. We show that the identities of the free product of every pair of such monoids admit no finite basis. © 2019, Springer Nature Switzerland AG
AbstractFor each n⩾1, an n-ary product ♢ on finite monoids is constructed. This product has the foll...
The aim of this paper is to investigate whether the class of automaton semigroups is closed under ce...
The aim of this paper is to investigate whether the class of automaton semigroups is closed under ce...
We give a topological proof that a free inverse monoid on one or more generators is neither of type ...
The direct product ℕ x ℕ of two free monogenic semigroups contains uncountably many pairwise nonisom...
AbstractIn this paper we shall present a new construction of the free inverse monoid on a set X. Con...
This is the accepted manuscript version of the following article: N. Abu-Ghazalh, J. D. Mitchell, Y....
We consider necessary and sufficient conditions for finite generation and finite presentability for ...
An improvement on earlier results on free products of automaton semigroups; showing that a free prod...
AbstractIt is proved to be decidable, for any given finite subset F of X∗ and mapping ϕ:F→X∗, whethe...
We first show that arithmetic is bi-interpretable (with parameters) with the free monoid and with pa...
The 6-element Brandt monoid B21 admits a unique addition under which it becomes an additively idempo...
We consider necessary and sufficient conditions for finite generation and finite presentability for ...
AbstractThis article characterizes the solutions of the commutativity equation xy = yx in free inver...
AbstractThe title result is proved by a Murskii-type embedding.Results on some related questions are...
AbstractFor each n⩾1, an n-ary product ♢ on finite monoids is constructed. This product has the foll...
The aim of this paper is to investigate whether the class of automaton semigroups is closed under ce...
The aim of this paper is to investigate whether the class of automaton semigroups is closed under ce...
We give a topological proof that a free inverse monoid on one or more generators is neither of type ...
The direct product ℕ x ℕ of two free monogenic semigroups contains uncountably many pairwise nonisom...
AbstractIn this paper we shall present a new construction of the free inverse monoid on a set X. Con...
This is the accepted manuscript version of the following article: N. Abu-Ghazalh, J. D. Mitchell, Y....
We consider necessary and sufficient conditions for finite generation and finite presentability for ...
An improvement on earlier results on free products of automaton semigroups; showing that a free prod...
AbstractIt is proved to be decidable, for any given finite subset F of X∗ and mapping ϕ:F→X∗, whethe...
We first show that arithmetic is bi-interpretable (with parameters) with the free monoid and with pa...
The 6-element Brandt monoid B21 admits a unique addition under which it becomes an additively idempo...
We consider necessary and sufficient conditions for finite generation and finite presentability for ...
AbstractThis article characterizes the solutions of the commutativity equation xy = yx in free inver...
AbstractThe title result is proved by a Murskii-type embedding.Results on some related questions are...
AbstractFor each n⩾1, an n-ary product ♢ on finite monoids is constructed. This product has the foll...
The aim of this paper is to investigate whether the class of automaton semigroups is closed under ce...
The aim of this paper is to investigate whether the class of automaton semigroups is closed under ce...
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