JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 3, Pages 327 - 333
(June 2017) http://dx.doi.org/10.17654/NT039030327 |
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A NEW CLASS OF PF-RINGS
Kamal Paykan and Abbas Arjomandfar
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Abstract: Let R be a commutative ring and S be the monoid generated by with 0 added, with the relation where is a natural number. In this paper, we show that if R is a PF-ring in the sense that every finitely generated projective R-module is free, then the monoid ring is also a PF-ring. |
Keywords and phrases: monoid ring, Hermite ring, projective module, Jacobson radical, PF-ring. |
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