Chapter

Rings each of whose proper cyclic modules has a chain condition

S. K. Jain, Ashish K. Srivastava and Askar A. Tuganbaev

in Cyclic Modules and the Structure of Rings

Published in print September 2012 | ISBN: 9780199664511
Published online January 2013 | e-ISBN: 9780191746024 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199664511.003.0003

Series: Oxford Mathematical Monographs

Rings each of whose proper cyclic modules has a chain condition

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Chapter 3 deals with rings over which each proper cyclic module has a chain condition. The first section of this chapter studies rings each of whose proper cyclic modules isartinian.The second section studies rings with the restricted minimum condition. This chapter closes discussing rings each of whose proper cyclic modules is perfect.

Keywords: artinian modules; restricted minimum condition; cyclic modules; proper cyclic modules

Chapter.  4536 words. 

Subjects: Algebra

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