Covers of acts over monoids II
Covers of acts over monoids II
In 1981 Edgar Enochs conjectured that every module has a
at cover
and finally proved this, independently with Bican and El Bashir, in 2001.
Enochs had in fact considered different types of covers as early as 1963,
for example injective and torsion free covers, and since then a great deal
of effort has been spent on their study. In 2008, Mahmoudi and Renshaw
initiated the study of
at covers of acts over monoids but their definition
of cover was slightly different from that of Enochs. Recently, Bailey and
Renshaw produced some preliminary results on the `other' type of cover
and it is this work that is extended in this paper. We consider free,
divisible, torsion free and injective covers and demonstrate that in some
cases the results are quite different from the module case.
257-274
Bailey, Alex
cd2762de-6a67-4ffc-ab42-2842ca378fa8
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
21 June 2013
Bailey, Alex
cd2762de-6a67-4ffc-ab42-2842ca378fa8
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
Abstract
In 1981 Edgar Enochs conjectured that every module has a
at cover
and finally proved this, independently with Bican and El Bashir, in 2001.
Enochs had in fact considered different types of covers as early as 1963,
for example injective and torsion free covers, and since then a great deal
of effort has been spent on their study. In 2008, Mahmoudi and Renshaw
initiated the study of
at covers of acts over monoids but their definition
of cover was slightly different from that of Enochs. Recently, Bailey and
Renshaw produced some preliminary results on the `other' type of cover
and it is this work that is extended in this paper. We consider free,
divisible, torsion free and injective covers and demonstrate that in some
cases the results are quite different from the module case.
Text
covers2_final.pdf
- Author's Original
More information
Submitted date: 30 June 2012
Accepted/In Press date: December 2012
Published date: 21 June 2013
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 341047
URI: http://eprints.soton.ac.uk/id/eprint/341047
ISSN: 0037-1912
PURE UUID: 7f30a561-1148-48c0-8346-c1b17e2c6028
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Date deposited: 12 Jul 2012 08:29
Last modified: 15 Mar 2024 02:40
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Author:
Alex Bailey
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