Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672850 | Indagationes Mathematicae | 2014 | 10 Pages |
Abstract
Let R be a commutative ring with identity. We will say that an R-module M satisfies the weak Nakayama property, if IM=M, where I is an ideal of R, implies that for any xâM there exists aâI such that (aâ1)x=0. In this paper, we will study modules satisfying the weak Nakayama property. It is proved that if R is a local ring, then R is a Max ring if and only if J(R), the Jacobson radical of R, is T-nilpotent if and only if every R-module satisfies the weak Nakayama property.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Mahdi Samiei, Hosein Fazaeli Moghimi,