Batting (cricket) square-leg rather than to mid-wicket. It is almost exclusively used against reasonably full-pitched balls from slow bowlers, as only then does the batsman have time to sight the length and adopt the kneeling position required for the slog sweep. The front leg of the shot is usually placed wider outside leg stump to allow for a full swing of the bat. A upper cut is a shot played towards third man, usually hit when the ball is pitched outside the off stump with an extra bounce. It is a dangerous shot which can edge the batsman to keeper or slips
Structure theorem for finitely generated modules over a principal ideal domain Structure theorem for finitely generated modules over a principal ideal domain In mathematics, in the field of abstract algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the fundamental theorem of finitely generated abelian groups and roughly states that finitely generated modules over a principal ideal domain can be uniquely decomposed in much the same way that integers have a prime factorization. The result provides a simple framework to understand various canonical form results for square matrices over fields. When a vector space over a field "F" has a finite generating set,