IJPAM: Volume 103, No. 2 (2015)
EPIMORPHISM OF RINGS AND
ABSOLUTELY FLAT MODULES
ABSOLUTELY FLAT MODULES
S. Mangayarcarassy
Department of Mathematics
Pondicherry Engineering College
Pondicherry, 605014, INDIA
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
Year: 2015
Volume: 103
Issue: 2
Pages: 163 - 168
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This work is licensed under the Creative Commons Attribution International License (CC BY).