On the group ring of a free product with amalgamation

Jordan, Camilla R. (1980). On the group ring of a free product with amalgamation. Glasgow Mathematical Journal, 21 pp. 135–138.

DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1017/S0017089500004092
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Abstract

Let $G = A*HB$ be the free product of the groups $A$ and $B$ amalgamating the proper subgroup $H$ and let $R$ be a ring with 1. If $H$ is finite and $G$ is not finitely generated we show that any non-zero ideal $I$ of $R(G)$ intersects non-trivially with the group ring $R(M)$ , where $M = M(I)$ is a subgroup of $G$ which is a free product amalgamating a finite normal subgroup. This result compares with A. I. Lichtman's results in [6] but is not a direct generalisation of these.

Item Type:	Journal Article
Copyright Holders:	1980 Glasgow Mathematical Journal Trust
ISSN:	1469-509X
Extra Information:	MR number MR0582121
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	31534
Depositing User:	Camilla Jordan
Date Deposited:	09 Feb 2012 12:44
Last Modified:	09 Feb 2012 12:44
URI:	http://oro.open.ac.uk/id/eprint/31534

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