On Generalization Property of Is -Open Sets in Ideal Topological Semigroups


Authors : Amin Saif; Abdo Q. M. Alrefai

Volume/Issue : 2nd ICTSA-2022

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://bit.ly/40cAeLU

DOI : https://doi.org/10.5281/zenodo.7765595

Abstract : In this paper, we introduce and investigate a new class of Is−open sets, called generalized Is−open sets in ideal topological semigroups a space. We study some properties on this class, such as product and relativity. Further more, the relationships between this class and other known classes are introduced and studied.

Keywords : Open Set; Ideal Topological Space, Topological Semigroup. AMS Classification: Primary 54A05, 16W30.

In this paper, we introduce and investigate a new class of Is−open sets, called generalized Is−open sets in ideal topological semigroups a space. We study some properties on this class, such as product and relativity. Further more, the relationships between this class and other known classes are introduced and studied.

Keywords : Open Set; Ideal Topological Space, Topological Semigroup. AMS Classification: Primary 54A05, 16W30.

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