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2024 Characterization of Modules by Fitting Ideals
Vajihe Sharifi, Somayeh Hadjirezaei
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Taiwanese J. Math. Advance Publication 1-8 (2024). DOI: 10.11650/tjm/241002

Abstract

Let $R$ be a commutative Noetherian ring and $M$ be a finitely generated $R$-module. In this paper we characterize modules whose first nonzero Fitting ideal has a maximal radical or is a prime ideal. Moreover, a number of examples concerning this characterization are given.

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Vajihe Sharifi. Somayeh Hadjirezaei. "Characterization of Modules by Fitting Ideals." Taiwanese J. Math. Advance Publication 1 - 8, 2024. https://doi.org/10.11650/tjm/241002

Information

Published: 2024
First available in Project Euclid: 27 October 2024

Digital Object Identifier: 10.11650/tjm/241002

Subjects:
Primary: 13C05 , 13C10 , 13C12

Keywords: Fitting ideals , maximal radical , torsionfree

Rights: Copyright © 2024 The Mathematical Society of the Republic of China

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