Idempotent and Nilpotent Submodules of Multiplication Modules

by Majid Ali

All rings are commutative with identity, and all modules are unital. The purpose of this article is to investigate multiplication von Neumann regular modules. For this reason we introduce the concept of nilpotent submodules generalizing nilpotent ideals and then prove that a faithful multiplication module is von Neumann regular if and only if it has no nonzero nilpotent elements and its Krull dimension is zero. We also give a new characterization...

• Format: Paperback
• Language: English
• ISBN: 3330041188
• ISBN13: 9783330041189
• Release Date: May 2020
• Publisher: LAP Lambert Academic Publishing
• Length: 144 Pages
• Weight: 0.49 lbs.
• Dimensions: 0.3" x 6.0" x 9.0"