IJPAM: Volume 103, No. 2 (2015)
ABSOLUTELY FLAT MODULES
Department of Mathematics
Pondicherry Engineering College
Pondicherry, 605014, INDIA
Abstract. Let be a commutative ring extension. We prove that if is an epimorphism of rings with injective homomorphism and is -projective, then an -module is -injective and is absolutely flat over if and only if is -injective and is an absolutely flat ring.
Received: January 22, 2015
AMS Subject Classification: 13C11, 13D07, 13E05
Key Words and Phrases: projective modules, injective modules, epimorphism of rings, absolutely flat modules
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DOI: 10.12732/ijpam.v103i2.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 163 - 168