<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>10</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Malheiro, A.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On trivializers and subsemigroups.</style></title><secondary-title><style face="normal" font="default" size="100%">Semigroups and formal languages. Proceedings of the international conference in honour of the 65th birthday of Donald B. McAlister</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://dx.doi.org/10.1142/9789812708700_0013</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Hackensack, NJ: World Scientific</style></publisher><pub-location><style face="normal" font="default" size="100%">Lisboa, Portugal, July 12–15, 2005.</style></pub-location><pages><style face="normal" font="default" size="100%">188–204</style></pages><isbn><style face="normal" font="default" size="100%">978-981-270-738-3/hbk</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The aim of this paper is to develop the calculus of trivializers for subsemigroups. Given a finite presentation defining a semigroup S and a trivializer of the Squier complex of , we obtain an infinite trivializer of the Squier complex of a finite presentation defining a subsemigroup of S. Also, we give a method to find finite trivializers for special subsemigroups and hence to show that those subsemigroups have finite derivation type (FDT). An application of this method is given: we prove that if is a band of monoids having FDT, then so does Sα, for any α ∈Y.&lt;/p&gt;
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