اعظمی, دکتر جعفر
(2016)
*Finitness of minimal prime submodules and arithmetic
rank of a module.*
University of Mohaghegh Ardabili, University of Mohaghegh Ardabili.

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Official URL: http://uma.ac.ir/

## Abstract

Let R be a commutative ring with identity and let M be a unital R-module. A proper submodule N ofM with N :R M = p is said to be prime or p-prime (p a prime ideal of R) if rx 2 N for r 2 R and x 2 M implies that either x 2 N or r 2 p. In this paper we study a new equivalent conditions for a minimal prime submodules of an R-module to be a finite set, whenever R is a Noetherian ring. Also we introduce the concept of arithmetic rank of a submodule of a Noetherian module and we give an upper bound for it.

Item Type: | Other |
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Persian Title: | متناهی بودن زیرمدول هاي اول مینیمال و رتبه حسابی یک مدول |

Persian Abstract: | - |

Subjects: | Research Projects |

Divisions: | Subjects > Faculty of Basic Sciences > Department of Mathematics Faculty of Basic Sciences > Department of Mathematics |

Date Deposited: | 23 Jun 2019 07:29 |

Last Modified: | 23 Jun 2019 07:29 |

URI: | http://repository.uma.ac.ir/id/eprint/8211 |

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