On DQC ring with ascending chain condition 关于具升链条件的DQC环
The ascending chain condition for principal ideals of Hurwitz series rings Hurwitz级数环的主理想升链条件
Problem of Ascending Chain Condition for Principal Ideal of Semigroup Rings 半群环的主理想升链条件问题
We prove that R is a pre-Krull domain of finite character satisfying ascending chain conditions over principal ideals of the localization of R if and only if R is a Krull domain. 证明了R是具有有限特征且满足局部主理想升链条件的pre-Krull整环当且仅当R是Krull整环。
Rings Satisfying a Special Ascending Chain Condition for Right Annihilators 满足右零化子特殊升链条件的环
The Union of ascending chain of semiprime S-R-submodules is semiprime; M的半素S-R-子模升链的并仍是半素的;