Soft uni-group and its applications to group theory

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

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.

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Published: 2018-12-13

How to Cite this Article:

Aslıhan Sezgin, Naim Çağman, Zeynep Kaya Türk, Emrah Muştuoğlu, Soft uni-group and its applications to group theory, Algebra Letters, Vol 2018 (2018), Article ID 2

Copyright © 2018 Aslıhan Sezgin, Naim Çağman, Zeynep Kaya Türk, Emrah Muştuoğlu. 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.

Algebra Letters

ISSN 2051-5502

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