Endomorphisms of free abelian monogenic digroups |
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| Author |
zhuchok_y@mail.ru
Kyiv National Taras Schevchenko University, Faculty of Mechanics and Mathematics
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| Abstract |
We construct a free abelian monogenic digroup and describe its endomorphism semigroup.
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| Keywords |
free abelian digroup; dimonoid; congruence; endomorphism
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| DOI |
doi:10.15330/ms.43.2.144-152
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| Reference |
1. Loday J.-L., Dialgebras, in: Dialgebras and related operads, Lect. Notes Math., 1763 (2001) Springer-
Verlag, Berlin, 7–66.
2. Liu K., Transformation digroups, preprint, available at http://arxiv.org/abs/math/0409265. 3. Kinyon M.K., Leibniz algebras, Lie racks, and digroups, J. Lie Theory, 17 (2007), №1, 99–114. 4. Phillips J.D., A short basis for the variety of digroups, Semigroup Forum, 70 (2005), 466–470. 5. Crompton C., Scalici L., The structure of digroups, American Journal of Undergraduate research, 5 (2006), №2, 21–27. 6. Felipe R., Generalized Loday algebras and digroups, Comunicaciones del CIMAT, №I-04-01/21-01-2004. 7. Liu K., The generalizations of groups, Research Monographs in Math., V.1, 153 Publishing: Burnaby, 2004. 8. Zhuchok A.V., Dimonoids, Algebra and Logic, 50 (2011), №4, 323–340. 9. Zhuchok A.V., Free commutative dimonoids, Algebra and Discrete Mathematics, 9 (2010), №1, 109–119. 10. Zhuchok Yu.V., Representations of ordered dimonoids by binary relations, Asian-European J. Math., 7 (2014), 1–13. |
| Pages |
144-152
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| Volume |
43
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| Issue |
1
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| Year |
2015
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| Journal |
Matematychni Studii
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