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).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/0021-8693(91)90204-L
ISSNs: 0021-8693 (print)
Keywords: amalgamation, semigroups, monoids, S-act flatness, perfect
ePrint ID: 41106
Date :
Date Event
Date Deposited: 19 Jul 2006
Last Modified: 16 Apr 2017 21:49
Further Information:Google Scholar

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