Every endomorphism of a local warfield module of finite torsion-free rank is the sum of two automorphisms

[摘要] A well-known result of P. Hill's [1969, Trans. Amer: Math, Sec. 141, 99-105] says that any endomorphism of a totally projective abelian p-group for any odd prime is the sum of two automorphisms. We will extend this result to local Warfield modules of finite torsion-free rank over odd primes, (C) 2000 Academic Press.

[发布日期] 2000-11-15

[关键词] local Warfield modules;invariant decomposition basis;sums of two automorphisms