10.1186/2251-7456-6-66

Soft topological soft groups

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  • Sk Nazmul*1,
  • Syamal Kumar Samanta2,
  1. Gov’t. College of Education, Burdwan, Kazirhat, Lakurdi, Burdwan, West Bengal, 713102, IN
  2. Department of Mathematics, Visva-Bharati, Santiniketan, West Bengal, 731235, IN

Published in Issue 2012-11-07

How to Cite

Nazmul, S., & Samanta, S. K. (2012). Soft topological soft groups. Mathematical Sciences, 6(1). https://doi.org/10.1186/2251-7456-6-66
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Abstract

Abstract Purpose The purpose of this paper is to introduce several notions, such as soft topological soft groups, soft topological soft normal subgroups, and soft topological soft factor groups, and to study their properties. Methods We have adopted the analytical method. Results We have studied properties of soft topological soft groups, soft subgroups, soft normal subgroups, soft factor groups, and soft homomorphisms. Conclusions The fundamental homomorphism theorem is extended in a soft topological soft group setting.

Keywords

  • Soft sets,
  • Soft groups,
  • Topological groups,
  • Soft topological groups,
  • Soft topological soft groups,
  • Soft topological soft normal subgroup,
  • Soft topological soft factor group,
  • Soft homomorphism,
  • MSC 54A40,
  • 03E72,
  • 20N25,
  • 22A99
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