论文信息 - On completions of non-commutative noetherian rings

On completions of non-commutative noetherian rings

It is shown that if I is an ideal of a ring R ,and I has a centralising set of generators then the I-adic completion [Rcirc] is left noetherian if either R/I is left artinian or R is left noetherian.

J. C. McConnell

[1] J. C. McConnell. The noetherian property in complete rings and modules , 1969 .

[2] Yukitoshi Hinohara. Note on Non-Commutative Semi-Local Rings , 1960, Nagoya Mathematical Journal.

[3] Michael Francis Atiyah,et al. Introduction to commutative algebra , 1969 .

[4] J. C. McConnell. The Intersection Theorem for a Class of Non‐Commutative Rings† , 1967 .