强t-提升模与强t-dual Rickart模

Strongly t-lifting module and strongly t-dual Rickart module

引入强t-提升模与强t-dual Rickart模的概念,讨论两者的基本性质和关系.证明富足补模M为强t-提升模当且仅当~2（M）为M的直和项且~2（M）为强提升模,并得到强dual Rickart模的一个新刻画.

The concepts of strongly t-lifting modules and strongly t-dual Rickart modules are introduced and their basic properties and relation to each other are discussed. It is proved that an amply supplemented module M will be strongly t-lifting if and only if Z2 （M） is a direct summand of M and Z2 （M） is a strongly lifting module and a new characterization of strongly dual Rickart modules is obtained.