Research Article

On Is-Open Sets in Ideal Topological Semigroups

by  Amin Saif, Abdo Q.M. Alrefai
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 174 - Issue 23
Published: Mar 2021
Authors: Amin Saif, Abdo Q.M. Alrefai
10.5120/ijca2021921108
PDF

Amin Saif, Abdo Q.M. Alrefai . On Is-Open Sets in Ideal Topological Semigroups. International Journal of Computer Applications. 174, 23 (Mar 2021), 1-6. DOI=10.5120/ijca2021921108

                        @article{ 10.5120/ijca2021921108,
                        author  = { Amin Saif,Abdo Q.M. Alrefai },
                        title   = { On Is-Open Sets in Ideal Topological Semigroups },
                        journal = { International Journal of Computer Applications },
                        year    = { 2021 },
                        volume  = { 174 },
                        number  = { 23 },
                        pages   = { 1-6 },
                        doi     = { 10.5120/ijca2021921108 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2021
                        %A Amin Saif
                        %A Abdo Q.M. Alrefai
                        %T On Is-Open Sets in Ideal Topological Semigroups%T 
                        %J International Journal of Computer Applications
                        %V 174
                        %N 23
                        %P 1-6
                        %R 10.5120/ijca2021921108
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we introduce and investigate a new class of semi - I-open sets, called Is-open sets in ideal topological semigroups. This class is consider strong form of I-open sets and weak form of of semi - I-open sets and - I-open sets. The interior, closer and frontier operators are studied with the relative property via Is-open sets.

References
  • D. Jankovic, and T. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4), (1990), 295-310.
  • E, Ekici, On ACI-sets, BCI-sets, I-sets and decompositions of continuity in ideal topological spaces, Creat. Math. Inform; 20(1), (2011), 47-54.
  • E. Ekici and T. Noiri, *-hyporconnected ideal topological space, Analele Stiintifice Ale Universitatii Al. I. Cuza Din Iasi-Serie Nona-Matematica, 1, (2012), 121-129.
  • E. Hatir and T. Noiri, On decompositions of continuity via idealization, Acta Math. Hungar, 96, (2002), 341-349.
  • E. Hatir, A note on ?? I??open sets and semi - I - oprn sets, Math. Commun. 16, (2011), 433-445.
  • F. Arenas, J. Dontchev and M. Puertas, Idealization of some weak separation axioms, Acta. Math. Hungar, 89(1), (2000), 47-53.
  • F. Helen, Introdution to general topology, Boston, Universety of Massachutts (1968).
  • J. Dontchev, Strong B-sets and another decomposition of continuity, Acta Math. Hungar, 75(3), (1997), 259-265.
  • K. Kuratowski, Topology, Academic Press, New York, (1), (1966).
  • R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci. Sect. A; 20, (1944), 51-61.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Open set ideal topological space topological semigroup

Powered by PhDFocusTM