http://www.m-sciences.com/index.php/ijas <p style="text-align: justify;"><strong>I</strong>nternational <strong>J</strong>ournal of <strong>A</strong>lgebra and <strong>S</strong>tatistics is an international peer reviewed journal devoted to the publication of original research papers and occasional surveys of a suitably high standard, written in English, on all aspects of Algebra and Statistics. Papers on the interface between Algebra, Statistics and Mathematics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics.</p> Modern Science Publishers en-US International Journal of Algebra and Statistics 2314-4548 http://www.m-sciences.com/index.php/ijas/article/view/1630 <p>Since Embedding is an important property of wreath product, it was studied with regards to normal subgroups and factor Groups. In this paper, we were able to prove that a group can be embedded into the wreath product of two-factor groups, and wreath products of two constituents’ subgroups. It was also proved that a wreath product can also be embedded inside another wreath product and gave examples.</p> Enoch Suleiman M. S. Audu Copyright (c) 2020 Modern Science Publishers 2020-07-16 2020-07-16 9 1-2 1 10 10.20454/ijas.2020.1630 http://www.m-sciences.com/index.php/ijas/article/view/1613 <p>This study aims to consider new kind of a set is called fuzzy quasi-invex set, which is convenient to handle real world application like optimization problems. And it investigates fuzzy quasi-convex set in view of new set. Some examples are given to illustrate that Zadeh’s fuzzy quasi-convex set and classical convex set are special cases of fuzzy quasi-invex set. It is also proved that classical invex sets are fuzzy quasi-invex set. Further, some properties of fuzzy quasi-invex set are investigated and generalized in term of generalized fuzzy quasi-invex set. Furthermore, some properties of fuzzy optimizations are discussed.</p> Muhammad Bilal Khan Muhammad Aslam Noor Khalida Inayat Noor Copyright (c) 2020 Muhammad Bilal Khan, Muhammad Aslam Noor, Khalida Inayat Noor https://creativecommons.org/licenses/by/4.0 2020-08-23 2020-08-23 9 1-2 11 26 10.20454/ijas.2020.1613