Babayo, A. M., O. O. Olaiya, and E. Chibueze. “On the Digraphic Decomposition of Stable Quasi-Idempotents Within Finite Partial Transformation Semigroups”. International Journal of Mathematical Sciences and Optimization: Theory and Applications, Vol. 11, no. 1, Jan. 2025, pp. 11-23, http://ijmso.unilag.edu.ng/article/view/2454.