Download or read book Groupoid Factorizations In The Semigroup Of Binary Systems written by Hiba F. Fayoumi and published by Infinite Study. This book was released on with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce two methods of factorization for this binary system under the binary groupoid product in the semigroup. We conclude that a strong non-idempotent groupoid can be represented as a product of its similar- and signature- derived factors. Moreover, we show that a groupoid with the orientation property is a product of its orient- and skew- factors. These unique factorizations can be useful for various applications in other areas of study. Application to algebras such as B/BCH/BCI/BCK/BH/BI/d-algebra are widely given throughout this paper.