[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2015.37.2.265

POWERS OF THE AUGMENTATION IDEAL OF A CYCLIC GROUP RING

LEE, JOONGUL (Department of Mathematics Education, Hongik University)

Publication Information

Honam Mathematical Journal / v.37, no.2, 2015 , pp. 265-267 More about this Journal

Abstract

Let G be a cyclic group of prime power order. There is a natural embedding of $\mathbb{Z}$ [G] into a product of rings of integers of cyclotomic fields. In this paper we determine the image of powers of the augmentation ideal.

Keywords

Group rings;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	S. Lang, Algebraic Number Theory, Second edition, Springer-Verlag, New York, 1994.
2	J. Lee, Characterization of a cyclic group ring in terms of character values, Commun. Korean Math. Soc. 30(1) (2015), 1-5. DOI