Notes on a semigroup related to the dicyclic group Qn

Mohammad R. Sorouhesh; Colin M. Campbell

doi:10.1515/auom-2017-0026

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Notes on a semigroup related to the dicyclic group Qn

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 2 (July 2017)

By: Mohammad R. Sorouhesh and Colin M. Campbell

Open Access

|Sep 2017

Abstract

We consider certain properties of the semigroup S defined by the Presentation S = 〈a,b : a^2ⁿ⁻¹ = 1,b² = a^2ⁿ⁻², ba = ab^2ⁿ⁻¹-1〉, (n ≥ 3).

References

[1] A. Arjomandfar, C. M. Campbell and H. Doostie, Semigroups related to certain group presentations, Semigroup Forum 85 (2012), no. 3, 533-539.10.1007/s00233-012-9433-z
Search in Google Scholar Back to article
[2] S. Bogdanovic, M. Ciric, A. Stamenkovic, Primitive idempotents in semigroups, Mathematica Moravica 5 (2001), 7-18.10.5937/MatMor0105007B
Search in Google Scholar Back to article
[3] C. M. Campbell, E. F. Robertson, N. Ruskuc, R .M. Thomas, Semigroup and group presentations, Bull. London Math. Soc. 27 (1995), 46-50.10.1112/blms/27.1.46
Search in Google Scholar Back to article
[4] A. H. Clifford and G. B. Preston, The algebraic theory of semi- groups I, Amer. Math. Soc. (1961).10.1090/surv/007.1
Search in Google Scholar Back to article
[5] J. M. Howie, An introduction to semigroup theory, Academic Press Inc, (1967).
Search in Google Scholar Back to article
[6] F. Kmet On radicals in semigroups, Math. Slovaca, 32, no. 2 (1982), 183-188.
Search in Google Scholar Back to article
[7] R. G. Levin, T. Tamura, Notes on commutative power joined semigroups, Paci_c J. Math., 35, no. 3 (1970), 673-679.10.2140/pjm.1970.35.673
Search in Google Scholar Back to article
[8] A. Nagy, Special Classes of Semigroup, Kluwer Academic Pub- lishers, (2001).10.1007/978-1-4757-3316-7
Search in Google Scholar Back to article
[9] B. H. Neumann, T. Taylor, Subsemigroups of Nilpotent Groups, Proc. Roy. Soc. Ser. A, 274 (1963), 1-4.10.1098/rspa.1963.0110
Search in Google Scholar Back to article
[10] E. F. Robertson and Y. Unlu, On semigroup presentations, Proc. Edinburgh Math. Soc. 2 36 (1993), no. 1, 55-68.10.1017/S0013091500005897
Search in Google Scholar Back to article
[11] M. R. Sorouhesh, H. Dosstie, Quasi-commutative semigroups of _nite order related to Hamiltonian groups, Bull. Korean Math. Soc. 52 (2015), No. 1, 239-246.10.4134/BKMS.2015.52.1.239
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.1515/auom-2017-0026 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 149 - 157

Submitted on: Sep 1, 2016

Accepted on: Oct 24, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Finitely presented semigroups,

Special semigroups

Related subjects:

Mathematics,

General mathematics

© 2017 Mohammad R. Sorouhesh, Colin M. Campbell, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 25 (2017): Issue 2 (July 2017)