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|Title:||A generalization of Hopkins-levitzki theorem|
|Authors:||Lê, Phương Thảo|
Nguyễn, Văn Sánh
Nilpotent submod- ule.
|Series/Report no.:||Southeast Asian Bulletin of Mathematics;37 .- p.591-600|
|Abstract:||Hopkin-Levitzki theorem said that every right Artinian ring is right Noetherian. It is well-knnown that not every Artinian is Noetherian, for example the Prufer group Zp∞ is Artinian but not Noetherian. In this paper, we prove that if M is an Artinian quasi-projective finitely generated right R-module which is a self-generator, then it is Noetherian. This result can be considered as a generalization of Hopkins-Levitzki Theorem.|
|Appears in Collections:||Tạp chí quốc tế|
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