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N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36.41.1.

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Article

Generalized s-topological Groups

1Department of Mathematics, Preston University Kohat (Islamabad), Pakistan

2Department of Mathematics, COMSATS institute of information technology, Chak Shehzad Islamabad, Pakistan


Turkish Journal of Analysis and Number Theory. 2015, Vol. 3 No. 4, 108-110
DOI: 10.12691/tjant-3-4-4
Copyright © 2015 Science and Education Publishing

Cite this paper:
Rehman Jehangir, Moizud Din Khan. Generalized s-topological Groups. Turkish Journal of Analysis and Number Theory. 2015; 3(4):108-110. doi: 10.12691/tjant-3-4-4.

Correspondence to: Moizud  Din Khan, Department of Mathematics, COMSATS institute of information technology, Chak Shehzad Islamabad, Pakistan. Email: Jehangir_pk@yahoo.com, moiz@comsats.edu.pk

Abstract

In this paper, we explore the notion of generalized semi topological groups. This notion is based upon the two ideas, generalized topological spaces introduced by Csaszar [2,3] and the semi open sets introduced by Levine [7]. We investigate on the notion of generalized topological group introduced by Hussain [4]. We explore the idea of Hussain by considering the generalized semi continuity upon the two maps of binary relation and inverse function.

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