Research Article

Bruck-Reilly extension of a ternary monoid

Volume: 23 Number: 1 January 29, 2021
  • Seda Oğuz Ünal *
TR EN

Bruck-Reilly extension of a ternary monoid

Abstract

In this study, Bruck-Reilly extension of a ternary monoid is defined. Additionally, some results about this construction are given which belongs to one of the classes of ternary semigroups; regular, inverse, orthodox and strongly regular.

Keywords

References

  1. Bruck, R. H., A survey of binary systems, Ergebnisse der Mathematik, Neue Folge, Vol. 20, Springer, Berlin, (1958).
  2. Reilly, N. R., Bisimple w-semigroups, Proc. Glasgow Math. Assoc., 7, 160-167, (1966).
  3. Munn, W., On simple inverse semigroups, Semigroup Forum, 1, 63-74, (1970).
  4. Asibong-Ibe, U., *-Bisimple type A w-semigroups-I, Semigroup Forum, 31, 99-117, (1985).
  5. Howie, J. M., Ruskuc, N., Constructions and presentations for monoids, Comm. in Algebra, 22, 15, 6209-6224, (1994).
  6. Karpuz, E. G., Çevik, A. S., Koppitz, J. and Cangül, İ. N., Some fixed-point results on (generalized) Bruck–Reilly ∗-extensions of monoids, Fixed Point Theory Appl., (2013).
  7. Karpuz, E. G., Automatic structure for generalized Bruck-Reilly *-extension of a monoid, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68, 1895-1908 (2019).
  8. Kocapinar,C., Karpuz, E. G., Ateş, F., Çevik,A. S., Gröbner-Shirshov bases of the generalized Bruck-Reilly _-extension, Algebra Colloquium, 19, 813-820, (2012).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Seda Oğuz Ünal * This is me
0000-0003-1338-1466
Türkiye

Publication Date

January 29, 2021

Submission Date

June 23, 2020

Acceptance Date

November 8, 2020

Published in Issue

Year 2021 Volume: 23 Number: 1

APA
Oğuz Ünal, S. (2021). Bruck-Reilly extension of a ternary monoid. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(1), 252-258. https://doi.org/10.25092/baunfbed.850352
AMA
1.Oğuz Ünal S. Bruck-Reilly extension of a ternary monoid. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021;23(1):252-258. doi:10.25092/baunfbed.850352
Chicago
Oğuz Ünal, Seda. 2021. “Bruck-Reilly Extension of a Ternary Monoid”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23 (1): 252-58. https://doi.org/10.25092/baunfbed.850352.
EndNote
Oğuz Ünal S (January 1, 2021) Bruck-Reilly extension of a ternary monoid. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23 1 252–258.
IEEE
[1]S. Oğuz Ünal, “Bruck-Reilly extension of a ternary monoid”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 23, no. 1, pp. 252–258, Jan. 2021, doi: 10.25092/baunfbed.850352.
ISNAD
Oğuz Ünal, Seda. “Bruck-Reilly Extension of a Ternary Monoid”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23/1 (January 1, 2021): 252-258. https://doi.org/10.25092/baunfbed.850352.
JAMA
1.Oğuz Ünal S. Bruck-Reilly extension of a ternary monoid. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021;23:252–258.
MLA
Oğuz Ünal, Seda. “Bruck-Reilly Extension of a Ternary Monoid”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 23, no. 1, Jan. 2021, pp. 252-8, doi:10.25092/baunfbed.850352.
Vancouver
1.Seda Oğuz Ünal. Bruck-Reilly extension of a ternary monoid. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021 Jan. 1;23(1):252-8. doi:10.25092/baunfbed.850352