284
Views
0
CrossRef citations to date
0
Altmetric
Articles

Green’s relations and regularity on semigroups of partial transformations with fixed sets

& ORCID Icon
Pages 3827-3839 | Received 06 Aug 2021, Accepted 04 Feb 2022, Published online: 22 Apr 2022

References

  • Banach, S. (1922). Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales. Fund. Math. 3(1):133–181. DOI: 10.4064/fm-3-1-133-181.
  • Brouwer, L. E. (1911). Beweis der invarianz der dimensionenzahl. Math. Ann. 70(2):161–165. DOI: 10.1007/BF01461154.
  • Chaiya, Y., Honyam, P., Sanwong, J. (2017). Maximal subsemigroups and finiteness conditions on transformation semigroups with fixed sets. Turk J. Math. 41:43–54. DOI: 10.3906/mat-1507-7.
  • Chaiya, Y., Honyam, P., Sanwong, J. (2016). Natural partial orders on transformation semigroups with fixed sets. Int. J. Math. Math. Sci. 2016:2759090. DOI: 10.1155/2016/2759090.
  • Chinram, R., Yonthanthum, W. (2020). Regularity of the semigroups of transformations with a fixed point Set. Thai. J. Math. 18(3):1261–1268.
  • Clifford, A. H., Preston, G. B. (1961). The Algebraic Theory of Semigroups, Mathematical Surveys, No. 7, vol. 1. Providence, RI: American Mathematical Society.
  • Honyam, P., Sanwong, J. (2013). Semigroup of transformations with fixed sets. Quaest. Math. 36(1):79–92. DOI: 10.2989/16073606.2013.779958.
  • Howie, J. M. (1976). An Introduction to Semigroup Theory. London: Academic Press.
  • Nupo, N., Pookpienlert, C. (2021). Domination parameters on Cayley digraphs of transformation semigroups with fixed sets. Turk. J. Math. 45(4):1775–1788. DOI: 10.3906/mat-2104-18.
  • Nupo, N., Pookpienlert, C. (2020). On connectedness and completeness of Cayley digraphs of transformation semigroups with fixed sets. Int. Electron. J. Algebra 28:110–126. DOI: 10.24330/ieja.768190.
  • Tarski, A. (1955). A lattice-theoretical fixpoint theorem and its applications. Pacific J. Math. 5(2):285–309. DOI: 10.2140/pjm.1955.5.285.

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.