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 |
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| 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 |
| Item ID: | 41106 |
| Date Deposited: | 19 Jul 2006 |
| Last Modified: | 01 Jun 2011 04:33 |
| Contributors: | Renshaw, James (Author) |
| Date: | 1991 |
| Status: | Published |
| Contact Email Address: | j.h.renshaw@maths.soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/41106 |
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