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On subrings of amalgamated free products of rings

On subrings of amalgamated free products of rings
On subrings of amalgamated free products of rings
The aim of this paper is to develop the homological machinery needed to study amalgams of subrings. We follow Cohn [1] and describe an amalgam of subrings in terms of reduced iterated tensor products of the rings forming the amalgam and prove a result on embeddability of amalgamated free products. Finally we characterise the commutative perfect amalgamation bases.
rings, amalgam, free-product, modules
0010-1354
241-248
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c

Renshaw, James (1999) On subrings of amalgamated free products of rings. Colloquium Mathematicum, 79 (2), 241-248.

Record type: Article

Abstract

The aim of this paper is to develop the homological machinery needed to study amalgams of subrings. We follow Cohn [1] and describe an amalgam of subrings in terms of reduced iterated tensor products of the rings forming the amalgam and prove a result on embeddability of amalgamated free products. Finally we characterise the commutative perfect amalgamation bases.

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Published date: 1999
Keywords: rings, amalgam, free-product, modules

Identifiers

Local EPrints ID: 41119
URI: http://eprints.soton.ac.uk/id/eprint/41119
ISSN: 0010-1354
PURE UUID: f840f317-b469-4604-b541-d876c4210ba9
ORCID for James Renshaw: ORCID iD orcid.org/0000-0002-5571-8007

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Date deposited: 19 Jul 2006
Last modified: 16 Mar 2024 02:39

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