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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Description/Abstract

In [6], 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.

Item Type: Article
Related URLs:
Keywords: amalgamation, semigroups, monoids, S-act flatness,perfect
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID: 41106
Date Deposited: 19 Jul 2006
Last Modified: 27 Mar 2014 18:26
URI: http://eprints.soton.ac.uk/id/eprint/41106

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