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On Radical Formula over Free Modules with Two Generators
- Source :
- AIP Conference Proceedings.
- Publication Year :
- 2011
- Publisher :
- AIP, 2011.
-
Abstract
- In this paper, we study on the module M = R⊕R over a commutative ring R with identity. After characterizing the radical of a submodule N of M, we give some conditions for N to satisfy the radical formula. In particular, we show that R⊕R satisfy the radical formula if R is an arithmetical ring.
Details
- ISSN :
- 0094243X
- Database :
- OpenAIRE
- Journal :
- AIP Conference Proceedings
- Accession number :
- edsair.doi...........9da9a3f1059d7eb0c27672f24d7974a8