ON REDUCED MODULES AND RINGS
ON REDUCED MODULES AND RINGS
In this paper we extend several results known for reduced rings to reduced modules. We prove that for a semiprime module or a module with zero Jacobson radical, the concepts of reduced, symmetric, ps-Armendariz and ZI modules coincide. New examples of reduced modules are furnished: flat modules over reduced rings and modules with zero Jacobson radical over left quo rings are reduced. Rings over which all modules are reduced/symmetric are characterized.
Keywords:
reduced modules, semiprime modules ZI modules, ps-Armendariz modules,
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- Mangesh B. Rege*and A. M. Buhphang** Department of Mathematics, North Eastern Hill University, Permanent Campus, Shillong-793022, Meghalaya, India.
- E-mails:*mb29rege@yahoo.co.in ,**ardeline17@gmail.com
- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI