CFP last date
20 January 2025
Reseach Article

On Is-Open Sets in Ideal Topological Semigroups

by Amin Saif, Abdo Q.M. Alrefai
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 174 - Number 23
Year of Publication: 2021
Authors: Amin Saif, Abdo Q.M. Alrefai
10.5120/ijca2021921108

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 },
issue_date = { Mar 2021 },
volume = { 174 },
number = { 23 },
month = { Mar },
year = { 2021 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume174/number23/31811-2021921108/ },
doi = { 10.5120/ijca2021921108 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:22:51.234368+05:30
%A Amin Saif
%A Abdo Q.M. Alrefai
%T On Is-Open Sets in Ideal Topological Semigroups
%J International Journal of Computer Applications
%@ 0975-8887
%V 174
%N 23
%P 1-6
%D 2021
%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
  1. D. Jankovic, and T. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4), (1990), 295-310.
  2. 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.
  3. 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.
  4. E. Hatir and T. Noiri, On decompositions of continuity via idealization, Acta Math. Hungar, 96, (2002), 341-349.
  5. E. Hatir, A note on ?? I??open sets and semi - I - oprn sets, Math. Commun. 16, (2011), 433-445.
  6. F. Arenas, J. Dontchev and M. Puertas, Idealization of some weak separation axioms, Acta. Math. Hungar, 89(1), (2000), 47-53.
  7. F. Helen, Introdution to general topology, Boston, Universety of Massachutts (1968).
  8. J. Dontchev, Strong B-sets and another decomposition of continuity, Acta Math. Hungar, 75(3), (1997), 259-265.
  9. K. Kuratowski, Topology, Academic Press, New York, (1), (1966).
  10. R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci. Sect. A; 20, (1944), 51-61.
Index Terms

Computer Science
Information Sciences

Keywords

Open set ideal topological space topological semigroup