28
Views
0
CrossRef citations to date
0
Altmetric
Research Article

On Rees matrix semigroups M(S;I,Λ;P) over semigroups S in which I is a singleton

ORCID Icon & ORCID Icon
Pages 4432-4443 | Received 26 Nov 2023, Accepted 29 Feb 2024, Published online: 09 May 2024

References

  • Antonippillai, A., Pastijn, F. (1992). Subsemigroups of completely simple semigroups. Pac. J. Math. 156:251–263. DOI: 10.2140/pjm.1992.156.251.
  • Chrislock, J. L. (1964). Semigroups whose regular representation is a group. Proc. Japan Acad. 40:799–800. DOI: 10.3792/pja/1195522567.
  • Chrislock, J. L. (1967). Semigroups Whose Regular Representation is a Right Group. Amer. Math. Monthly 74:1097–1100. DOI: 10.2307/2313623.
  • Clifford, A. H., Preston, G. B. (1961). The Algebraic Theory of Semigroups I. Providence, RI: American Mathematical Society. DOI: 10.1090/surv/007.1.
  • Clifford, A. H., Preston, G. B. (1967). The Algebraic Theory of Semigroups II. Providence, RI: American Mathematical Society. DOI: 10.1090/surv/007.2.
  • Cohn, P. M. (1956). Embeddings in semigroups with one-sided division. J. London Math. Soc. 31:169–181. DOI: 10.1112/jlms/s1-31.2.169.
  • Croisot, R. (1954). Demi-groupes simple inversifs à gauche. C.R. Acad. Sci. Paris 239:845–847.
  • Howie, J. M. (1976). An Introduction to Semigroup Theory. London: Academic Press.
  • Howie, J. M. (1995). Fundamentals of Semigroup Theory. Oxford: Clarendon Press.
  • Nagy, A. (2001). Special Classes of Semigroups. Dordrecht: Kluwer Academic Publishers. DOI: 10.1007/978-1-4757-3316-7.
  • Nagy, A. (2013). Left reductive congruences on semigroups. Semigroup Forum 87:129–148. DOI: 10.1007/s00233-012-9428-9.
  • Nagy, A. (2015). Remarks on the paper “M. Kolibiar, On a construction of semigroups”. Period. Math. Hungar. 71:261–264. DOI: 10.1007/s10998-015-0094-z.
  • Nagy, A. (2016). Left equalizer simple semigroups. Acta Math. Hungar. 148:300–311. DOI: 10.1007/s10474-015-0578-6.
  • Nagy, A., Nagy, O. (2020). A construction of semigroups whose elements are middle units. Int. J. Algebra 14: 163–169. DOI: 10.12988/ija.2020.91248.
  • Nagy, A. (2023). A construction of left equalizer simple medial semigroups. Period. Math. Hungar. 86:37–42. DOI: 10.1007/s10998-022-00454-w.
  • Nagy, A., Tóth, Cs. (2023). On special Rees matrix semigroups over semigroups. Commant. Math. Univ. Carol. to appear. DOI: 10.14712/1213-7243.2023.024.
  • Petrich, M. (1977). Lectures in Semigroups. Berlin: Academie-Verlag.
  • Rees, D. (1940). On semi-groups. Proc. Cambridge Philos. Soc. 36:387–400. DOI: 10.1017/S0305004100017436.
  • Teissier, M. (1953). Sur les demi-groupes ne contenant pas d’élément idempotent. C.R. Acad. Sci. Paris 237: 1375–1377.
  • Tóth, Cs. (2023). Right regular triples of semigroups. Quasigroups Relat. Syst. 31:293–304. DOI: 10.56415/qrs.v31.23.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.