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- Title
A CLASSIFICATION OF UNIONS OF THE FREE SEMIGROUP IN TWO GENERATORS IN THE IDEAL CASE.
- Authors
ABUGHAZALAH, NABILAH HANI
- Abstract
We prove that in the ideal case, up to isomorphism, there are only one type of semigroups which are the union of two copies of the free monogenic semigroup. Similarly, there are only five types of semigroups which are the union of three copies of the free monogenic semigroup. And there are only two types of semigroups which are the union of two copies of the free semigroup in two generators. We provide finite presentations for each of these semigroups.
- Subjects
SEMIGROUPS (Algebra); ISOMORPHISM (Mathematics); MATHEMATICS theorems; ALGORITHMS; GENERATORS of groups
- Publication
Mathematical Reports, 2020, p341
- ISSN
1582-3067
- Publication type
Article