数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (1): 81-88.
游宏1, 南基洙2
You Hong1, Nan Jizhu2
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)×GLn(R).where Mm.n(R) is the set of all m by n matrices over R.