Finitely Projective Modules over Bounded Hereditary Noetherian Prime Rings

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Authors

  • Department of Mathematics, Karnatak University, Dharwad”580003 (Karnataka) ,IN

Abstract

The author has studied in [10] finitely projective modules over Dedekind domains. In this paper we generalize the results of [10] to finitely projective modules over bounded hereditary. Noetherian prime rings. Our main theorem asserts that if R is a bounded hereditary Noetherian prime ring then a right R-module is finitely projective if and only if its reduced part is torsionless and coseparable. The finite projectivity is a pure-hereditary property for modules over bounded hereditary Noetherian prime rings. We also prove that if is a right bounded, right Noetherian, prime, left Goldie ring then every finitely projective right - R-module is projective if and only if R equals its two-sided classical quotient ring.

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Published

1994-12-01

How to Cite

Hiremath, V. A. (1994). Finitely Projective Modules over Bounded Hereditary Noetherian Prime Rings. The Journal of the Indian Mathematical Society, 60(1-4), 83–93. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/21935

 

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