Article Title

On modules which satisfy the radical formula

Authors

BÜLENT SARAÇ
YÜCEL TIRAŞ

DOI

10.3906/mat-1103-9

Abstract

In this paper, the authors prove that every representable module over a commutative ring with identity satisfies the radical formula. With this result, they extend the class of modules satisfying the radical formula from that of Artinian modules to a larger one. They conclude their work by giving a description of the radical of a submodule of a representable module.

Keywords

Prime submodule, prime radical, radical formula, secondary module, secondary representation, representable module

First Page

195

Last Page

201

Recommended Citation

SARAÇ, BÜLENT and TIRAŞ, YÜCEL (2013) "On modules which satisfy the radical formula," Turkish Journal of Mathematics: Vol. 37: No. 2, Article 1. https://doi.org/10.3906/mat-1103-9
Available at: https://journals.tubitak.gov.tr/math/vol37/iss2/1