The Aligarh Bulletin of Mathematics, vol.41, no.1, pp.41-52, 2022 (Peer-Reviewed Journal)
This study is about the poloids that are obtained by the formation of a new
algebraic structure obtained by adding the condition (G4) obtained from the
solution of the equation XA = B and B|A to the definition of monoid. The
(G4) property is based on the factorial property of a noncommutative matrix.
The (G4) property is based on the factorial property of a noncommutative ma-
trix. Divisibility in matrices contributes to the existence of common factors
of a matrix. This necessitates the distinguishing feature in data in theoretical
and applied computer sciences. For example, it paves the way for detecting
the truth of lying in the syntax of the person who is lying.