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Perfect Amalgamation Bases

Renshaw, James (1991) Perfect Amalgamation Bases Journal of Algebra, 141, (1), pp. 78-92. (doi:10.1016/0021-8693(91)90204-L).

Record type: Article


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 ?U* Ti, the free product of the amalgam [U; Ti], is embeddable in ?U* 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.

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Published date: 1991
Keywords: amalgamation, semigroups, monoids, S-act flatness, perfect


Local EPrints ID: 41106
ISSN: 0021-8693
PURE UUID: 35efe04e-91dc-4681-9adf-8f450921a6ea

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Date deposited: 19 Jul 2006
Last modified: 17 Jul 2017 15:32

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