Finitely bi-quasieegular Relations

Authors

  • Milovan Vinčić Faculty of Economics, Banja Luka University Majke Jugović Street 4, 78000 Banja Luka
  • Daniel A. Romano Faculty of Education East Sarajevo University, Semberski ratari Street b.b., 76300 Bijeljina

DOI:

https://doi.org/10.5644/SJM.10.1.03%20

Keywords:

Bi-quasiregular relations, finitely bi-quasiregular relations

Abstract

In this paper, analogously to the study of finitely regular (conjugative, dually normal and quasi-conjugative) relations, finitely bi-quasiregular relations are introduced and investigated. More concretely, after some preparations, an intrinsic characterization of such relations is established.

 

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References

Guanghao Jiang and Luoshan Xu: Conjugative relations and applications, Semigroup Forum, 80 (1) (2010), 85--91.

Guanghao Jiang and Luoshan Xu: Dually normal relations on sets, Semigrouop Forum, 85 (1) (2012), 75--80.

J. M. Howie: An Introduction to Semigroup Theory, Academic Press, 1976.

D. A. Romano: Quasi-regular relations - A new class of relations on sets, Publ. Inst. Math. (Beograd) (N.S.), 93 (107) (2013), 127--132.

D. A. Romano and M.Vinčić: Finitelly quasi-conjugative relations, Bull. Int. Math. Virtual Inst., 3 (1) (2013), 29--34.

D. A. Romano: Two new classes of relations, Symposium Mathematics and Applications, Faculty of Mathematics, University of Belgrade, May 24--25, 2013. (To appear)

X.-Q. Xu and Y. M. Liu, Relational Representations of Hypercontinuous Lattices, In: Domain Theory, Logic, and Computation, Kluwer, Dordrecht, 2003, 65--74.

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Published

04.06.2024

How to Cite

Vinčić, M., & Romano, D. A. . (2024). Finitely bi-quasieegular Relations. Sarajevo Journal of Mathematics, 10(1), 21–26. https://doi.org/10.5644/SJM.10.1.03

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Articles