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Stability and amalgamation in monoids

Stability and amalgamation in monoids
Stability and amalgamation in monoids
Renshaw [(a) Proc. Lond. Math. Soc. 1986, 52 (3), 119–141; (b) Ph.D. Thesis, University of St. Andrews, 1985] proved a collection of results on flatness, extension, and amalgamation for semigroups, and the concept of stability for S-acts was introduced in (a) and shown to be connected to amalgamation. We extend these results here by developing the “homological” structure of amalgamated free products of monoids and provide a new condition for amalgamation of semigroups which is shown to be weaker than those given in these references. We also extend one of the main results in (a).
semigroup, monoid, stability, free-product, amalgamation, flatness, purity, S-act
0092-7872
1095-1110
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c

Renshaw, James (2001) Stability and amalgamation in monoids. Communications in Algebra, 29 (3), 1095-1110. (doi:10.1081/AGB-100001669).

Record type: Article

Abstract

Renshaw [(a) Proc. Lond. Math. Soc. 1986, 52 (3), 119–141; (b) Ph.D. Thesis, University of St. Andrews, 1985] proved a collection of results on flatness, extension, and amalgamation for semigroups, and the concept of stability for S-acts was introduced in (a) and shown to be connected to amalgamation. We extend these results here by developing the “homological” structure of amalgamated free products of monoids and provide a new condition for amalgamation of semigroups which is shown to be weaker than those given in these references. We also extend one of the main results in (a).

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More information

Published date: 2001
Keywords: semigroup, monoid, stability, free-product, amalgamation, flatness, purity, S-act

Identifiers

Local EPrints ID: 29857
URI: http://eprints.soton.ac.uk/id/eprint/29857
ISSN: 0092-7872
PURE UUID: ccebf77e-d24d-4469-a4d9-ae5160411ae1
ORCID for James Renshaw: ORCID iD orcid.org/0000-0002-5571-8007

Catalogue record

Date deposited: 11 May 2006
Last modified: 16 Mar 2024 02:39

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