Finitely dual quasi-normal relations

Authors

  • Daniel A. Romano

Abstract

In this paper, following Jiang Guanghao and Xu Luoshan's concepts of  finitely conjugative and nitely dual normal relations on sets, the concept  of finitely dual quasi-normal relations is introduced. A characterization of 13 that relations is obtained.

References

[1] G.Jiang and L.Xu: Conjugative relations and applications. Semigroup Forum, 80(1)(2010), 85-91. doi: 10.1007/s00233-009-9185-6

[2] G.Jiang and L.Xu: Dually normal relations on sets; Semigrouop Forum, 85(1)(2012), 75-80.
doi: 10.1007/s00233-011-9364-0

[3] J.M.Howie: An introduction to semigroup theory; Academic press, 1976.

[4] D.A.Romano: Quasi-regular relations - A new class of relations on sets; Publications de l'Institut Mathmatique, 93(107)(2013), 127-132. doi: 10.2298/PIM1307127R

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

[6] D.A.Romano: Quasi-conjugative relations on sets; MAT-KOL, XIX (3) (2013), 5-10.

[7] D.A.Romano: Two new classes of relations, In: Mateljevic, Stanimirovic, Maric and Svetlik (eds.) Symposium MATHEMATICS and APPLICATIONS, 24-25 May, 2013 (pp. 34-39), Faculty of Mathematics, University of Belgrade, Belgrade 2014.
Available online at: http://alas.matf.bg.ac.rs/ konferencija/zbornik.html.

[8] D.A.Romano: Quasi-normal relations - a new class of relations on sets; Kyungpook Math. J., 55(3)(2015), 541-548. doi: 10.5666/KMJ.2015.55.3.541

Published

2017-01-10

Issue

Section

Чланци