摘要
Let R=Z/PkZ be the ring of integers modulo pk where p is a prime and k>1.Denote by n(r,m×n)tile number of m by n matrices with real rank r over R.In tile present paper.we compute n(r.m×n) and the number of the orbits of Mm,n.(R)under GLm.(R)×GLm(R).where Mm.n(R) is the set of all m by n matrices over R.
Let R=Z/PkZ be the ring of integers modulo pk where p is a prime and k>1.Denote by n(r,m×n)tile number of m by n matrices with real rank r over R.In tile present paper.we compute n(r.m×n) and the number of the orbits of Mm,n.(R)under GLm.(R)×GLm(R).where Mm.n(R) is the set of all m by n matrices over R.
