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Semi-Baer modules over domains

Published online by Cambridge University Press:  17 April 2009

Sang Bum Lee
Sang Bum Lee
Affiliation:
Department of Mathematical Education, Sangmyung University, Seoul 110–743, Korea
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Abstract

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For a commutative domain R with 1, R-module M is called a semi-Baer module if for all divisible R-modules D. We show that finitely generated modules of projective dimension at most 1 are semi-Baer modules and if R is Prüfer or Matlis, then all modules of projective dimension at most 1 are semi-Baer modules.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 1 , August 2001 , pp. 21 - 26
Copyright
Copyright © Australian Mathematical Society 2001

References

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