<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. Araújo</style></author><author><style face="normal" font="default" size="100%">Kinyon, M.</style></author><author><style face="normal" font="default" size="100%">Malheiro, A.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A characterization of adequate semigroups by forbidden subsemigroups.</style></title><secondary-title><style face="normal" font="default" size="100%">Proc. R. Soc. Edinb., Sect. A, Math.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2013</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://dx.doi.org/10.1017/S030821051100182X</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">6</style></number><publisher><style face="normal" font="default" size="100%">Cambridge University Press, Cambridge; RSE Scotland Foundation, Edinburgh</style></publisher><volume><style face="normal" font="default" size="100%">143</style></volume><pages><style face="normal" font="default" size="100%">1115–1122</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;A semigroup is amiable if there is exactly one idempotent in each ℛ*-class and in each ℒ*-class. A semigroup is adequate if it is amiable and if its idempotents commute. We characterize adequate semigroups by showing that they are precisely those amiable semigroups that do not contain isomorphic copies of two particular non-adequate semigroups as subsemigroups.&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
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