Home

 

Recent Issues

Volume 52

1

2

3

4

Volume 51

1

2

3

4

Volume 50

1

2

3

4

Volume 49

1

2

3

4

Volume 48

1

2

3

4

 

Past Issues

 

The Journal

Cover

Aims and Scope

Subscription Information

Editorial Board

Instructions for Author

Contact Us

 

 

 

Vietnam Journal of Mathematics 38:1 (2010) 55-62  

On Arithmetical Rings and the Radical Formula

A. Nikseresht and A. Azizi

Abstract.  In this paper we investigate the radical formula in modules over arithmetical rings. Particularly we prove that every module over a finite dimensional arithmetical ring and every Prüfer module over an arbitrary arithmetical ring satisfies the radical formula. Also we give a necessary and sufficient condition for a serial module to satisfy the radical formula.

2000 Mathematics Subject Classification: 13C99, 13A15, 13F05, 13C13.

Keywords: Prime submodule, radical formula, arithmetical ring, invertible submodule.

 

 

 

 

 

 

 

 

Established by Vietnam Academy of Science and Technology & Vietnam Mathematical Society

Published by Springer since January 2013