
- Ali, Majid
- Smith, David
Idempotent and Nilpotent Submodules of Multiplication Modules
- Kartoniert,
- LAP Lambert Academic Publishing
- (2020)
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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 for the radical of a submodule of a multiplicati ...
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DETAILS
- Idempotent and Nilpotent Submodules of Multiplication Modules
- Ali, Majid, Smith, David
- Kartoniert, 144 S.
- Sprache: Englisch
- 220 mm
- ISBN-13: 978-3-330-04118-9
- Titelnr.: 84210297
- Gewicht: 2000 g
- LAP Lambert Academic Publishing (2020)
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