@article {
author = {Hadjirezaei, S. and Karimzadeh, S.},
title = {On the order of a module},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {4},
pages = {923-931},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Abstract. Let $(R,P)$ be a Noetherian unique factorization domain (UFD) and M be a finitely generated R-module. Let I(M)be the first nonzero Fitting ideal of M and the order of M, denoted $ord_R(M)$, be the largest integer n such that $I(M) ⊆ P^n$. In this paper, we show that if M is a module of order one, then either M is isomorphic with direct sum of a free module and a cyclic module or M is isomorphic with a special module represented in the text. We also assert some properties of M while $ord_R(M) = 2.$},
keywords = {Fitting ideals,minimal free presentation,order of a module},
url = {http://bims.iranjournals.ir/article_844.html},
eprint = {http://bims.iranjournals.ir/article_844_8c5b86ca03124119d8397dde84a956c0.pdf}
}