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The identities of the free product of two trivial semigroups |
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| Authors: | L?M?Shneerson |
| Institution: | 1.Department of Mathematics and Statistics, Hunter College,City University of New York,New York,USA;2.Institute of Mathematics and Computer Science,Ural Federal University,Ekaterinburg,Russia |
| Abstract: | We exhibit an example of a finitely presented semigroup S with a minimum number of relations such that the identities of S have a finite basis while the monoid obtained by adjoining 1 to S admits no finite basis for its identities. Our example is the free product of two trivial semigroups. |
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