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
241-248
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
1999
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
Renshaw, James
(1999)
On subrings of amalgamated free products of rings.
Colloquium Mathematicum, 79 (2), .
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
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Local EPrints ID: 41119
URI: http://eprints.soton.ac.uk/id/eprint/41119
ISSN: 0010-1354
PURE UUID: f840f317-b469-4604-b541-d876c4210ba9
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Date deposited: 19 Jul 2006
Last modified: 16 Mar 2024 02:39
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