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
1095-1110
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
2001
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
Renshaw, James
(2001)
Stability and amalgamation in monoids.
Communications in Algebra, 29 (3), .
(doi:10.1081/AGB-100001669).
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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Published date: 2001
Keywords:
semigroup, monoid, stability, free-product, amalgamation, flatness, purity, S-act
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Local EPrints ID: 29857
URI: http://eprints.soton.ac.uk/id/eprint/29857
ISSN: 0092-7872
PURE UUID: ccebf77e-d24d-4469-a4d9-ae5160411ae1
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Date deposited: 11 May 2006
Last modified: 16 Mar 2024 02:39
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