模自同态环的理想格与正规根

Lattice of Ideals and Normal Radicals of Endomorphism Rings of Modules

中文关键词:  模自同态环  双零化理想  正规概

英文关键词:endomorphism rings of modules, bi-annihilator ideal, normal radical.

中文摘要:

      设_RＰ是环Ｒ上的左模．记P^*= Hom _R(P , R ) , J = P P^*, S₀= P^*P．本文讨论了Ｊ与Ｓ的双零化理想格之间的关系，以及Ｒ，Ｊ，Ｓ₀和Ｅｎｄ_RＰ的正规根之间的关系．

英文摘要:

      Let _RP be a left R-module and P^* the dualmodule. In this paper, we obtain that there exists an isomorphism between lattices of bi-annihilator ideals of PP^* and P^*P , and in this isomorphism, normal radicals correspond to normal radicals.