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Free n-Tuple Semigroups.
- Source :
-
Mathematical Notes . May2018, Vol. 103 Issue 5/6, p737-744. 8p. - Publication Year :
- 2018
-
Abstract
- The present paper is devoted to the study of n-tuple semigroups. A free n-tuple semigroup of arbitrary rank is constructed and, as a consequence, singly generated free n-tuple semigroups are characterized. Moreover, examples of n-tuple semigroups are presented, the independence of the n-tuple semigroup axioms is proved, and it is shown that the natural semigroups of the constructed free n-tuple semigroup are isomorphic and the automorphism group of this n-tuple semigroup is isomorphic to a symmetric group. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 103
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 130378923
- Full Text :
- https://doi.org/10.1134/S0001434618050061