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https://dspace.iiti.ac.in/handle/123456789/6536
| Title: | On Cohen’s theorem for modules |
| Authors: | Parkash, Anand |
| Issue Date: | 2021 |
| Publisher: | Indian National Science Academy |
| Citation: | Parkash, A., & Kour, S. (2021). On Cohen’s theorem for modules. Indian Journal of Pure and Applied Mathematics, 52(3), 869-871. doi:10.1007/s13226-021-00101-z |
| Abstract: | In this paper, we prove that if R is a commutative ring with unity and M is a finitely generated R-module, then M is Noetherian if and only if for every prime ideal P of R with Ann(M) ⊆ P, there exists a finitely generated submodule NP of M such that PM⊆ NP⊆ M(P). © 2021, The Indian National Science Academy. |
| URI: | https://doi.org/10.1007/s13226-021-00101-z https://dspace.iiti.ac.in/handle/123456789/6536 |
| ISSN: | 0019-5588 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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