Rings in which every Finitely Generated Left Ideal is Quasi-Projective

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Authors

  • Department of Mathematics, Guru Nanak Dev University, Amritsar ,IN
  • Department of Mathematics, Jamia Millia, Islamia, New Delhi ,IN

Abstract

ALL RINGS CONSIDERED here are associative and have identity 1 ≠ 0. As defined by Jain and Singh [3] a ring R is said to be a left (gp)-ring if every left ideal of R isquasi-projective; they studied perfect left (gp)-rings.

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Published

1976-12-01

How to Cite

Singh, S., & Mohammad, A. (1976). Rings in which every Finitely Generated Left Ideal is Quasi-Projective. The Journal of the Indian Mathematical Society, 40(1-4), 195–205. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16625

 

References

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JAIN, S.K. AND S. SINGH : Rings with quasi-projective left ideals, Pacific. J. Math. 60 (1975) 169-181.

JONAH, DAVID: Rings with the minimum condition for principal right ideals have the maximum condition for principal left ideals, Math. Z. 113 (1970) 106-112.

KOEHLER, A.: Quasi-projective and quasi-injective modules, Pacific, J. Math. 36 (1971) 713-720.

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