ALGEBRAIC PROPERTIES OF MONOGENIC SOFTQUASIGROUPS

Abstract

 This paper explores the properties of soft monogenic quasigroups,
a class of algebraic structures that combine soft set theory and quasigroups.
We define soft monogenic quasigroups and investigate their generation criteria, structural properties, and invariance under automorphism. Our results contribute to the advancement of soft algebraic structures, with potential applications in fields like cryptography and coding theory. We establish key characteristics of soft monogenic quasigroups, including their generation by a single element and structural invariance. This work lays the foundation for further research in soft quasigroups and their applications.