Finitness of minimal prime submodules and arithmetic rank of a module

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

[img] Text
Tarh-Azami.pdf

Download (507kB)
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
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

Actions (login required)

View Item View Item