F_R^A-模形成的格(英文)

The Lattice of F_R^A-modules

研究了全体 FAR-模形成的格 FAR( M)及其子格的结构 ,证得 FAR( M)及其子格为模格 .利用同态理论研究同态模间形成的 FAR-模格的相互关系 ,得到一些重要的同态与同构定理 .最后指出 FAR( M)

The lattice structure of the la tt ice F-A R(M)of all F-A R-modules and its sublattices are investigated and it is proved that these lattices of F-A R-modules are modular.The lattice homomorphism is also discussed and some lattice homomorphic and isomorphic theorems are given.