IJPAM: Volume 98, No. 2 (2015)
PRIME EXTENSION FILTRATION OF MODULES
T. Duraivel
, S. Mangayarcarassy
, K. Premkumar
Department of Mathematics
Pondicherry University
Pondicherry, 605014, INDIA
Department of Mathematics
Pondicherry Engineering College
Pondicherry, 605014, INDIA
Department of Mathematics
Pondicherry University
Pondicherry, 605014, INDIA




Pondicherry University
Pondicherry, 605014, INDIA

Pondicherry Engineering College
Pondicherry, 605014, INDIA

Pondicherry University
Pondicherry, 605014, INDIA
Abstract. In this article we introduce a filtration for modules namely, regular prime extension filtration, which exist for all finitely generated modules over Noetherian rings. We show that any two such filtrations of a module have same length.
Received: September 4, 2014
AMS Subject Classification: 13C05, 13E05, 13E15
Key Words and Phrases: associated prime ideals, prime filtration, Noetherian ring, prime submodule and torsion free module
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DOI: 10.12732/ijpam.v98i2.4 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: 98
Issue: 2
Pages: 211 - 220
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This work is licensed under the Creative Commons Attribution International License (CC BY).