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Algebra Letters ISSN 2051-5502

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Algebra Lett. 2018 (2018), Article ID 2

Soft uni-group and its applications to group theory

Aslıhan Sezgin, Naim Çağman, Zeynep Kaya Türk, Emrah MuÅŸtuoÄŸlu

PDF (184.1 KB) https://doi.org/10.28919/al/3890

Abstract

In this paper, we define soft union group, serving as a bridge among soft set theory, set theory and group theory and showing how a soft set effects on a group structure in the mean of union and inclusion of sets. We then derive its basic properties and relation with the notion of soft intersection group and obtain some analog of classical group theoretic concepts for soft union group. Moreover, we give some applications of soft union groups to group theory.

Published
13 December 2018
Volume
2018 (2018)
License
CC BY 3.0

Copyright © 2018 Aslıhan Sezgin, Naim Çağman, Zeynep Kaya Türk, Emrah MuÅŸtuoÄŸlu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. Sezgin, N. Çağman, Z. K. Türk, E. MuÅŸtuoÄŸlu, Soft uni-group and its applications to group theory, Algebra Lett. 2018 (2018), 2. https://doi.org/10.28919/al/3890

BibTeX
@article{Sezgin2018,
  author  = {Sezgin, Aslıhan and Çağman, Naim and Türk, Zeynep Kaya and MuÅŸtuoÄŸlu, Emrah},
  title   = {Soft uni-group and its applications to group theory},
  journal = {Algebra Lett.},
  volume  = {2018},
  year    = {2018},
  pages   = {2},
  doi     = {10.28919/al/3890}
}