Perfect Amalgamation Bases
Renshaw, James (1991) Perfect Amalgamation Bases. Journal of Algebra, 141, (1), 78-92. (doi:10.1016/0021-8693(91)90204-L).
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In , Howie considered the following problem: If [U; Si] is an amalgam of semigroups and if Ti are subsemigroups of Si such that [U; Ti]is an amalgam, is it true that ΠU* Ti, the free product of the amalgam [U; Ti], is embeddable in ΠU* Si the free product of the amalgam [U; Si]? He proved, among other things, that if U and Ti are unitary in Si, then the free products are embeddable.
We extend these results here using the homological techniques introduced in [4, 7]and culminate in describing those amalgamation bases which always have this property.
|Keywords:||amalgamation, semigroups, monoids, S-act flatness,perfect|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
|Date Deposited:||19 Jul 2006|
|Last Modified:||27 Mar 2014 18:26|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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