Chapter

Rings with cyclics ℵ<sub>0</sub>‐injective, weakly injective, or quasi‐projective

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/9780199664511.003.0010

Series: Oxford Mathematical Monographs

Rings with cyclics ℵ0‐injective, weakly injective, or quasi‐projective

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This chapter begins with results due to Tuganbaev for rings each of whose cyclic modules is 0-injective. Section 2 discusses rings over which each cyclic module is weakly injective. The third section contains Koehler's theorem on structure of rings each of whose cyclic modules is quasi-projective.

Keywords: cyclic modules; ℵ0-injective modules; weakly injective modules; quasi-projective modules

Chapter.  5347 words. 

Subjects: Algebra

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