91342 doi 10.5565/PUBLMAT_56212_08 articleid 02141493v56n2p449 eng Auinger, K. On the power pseudovariety The pseudovariety PCS which is generated by all power semigroups of finite completely simple semigroups is characterized in various ways. For example, the equalities PCS = Jm CS = BGm RB are established. This resolves a problem raised by Kad'ourek and leads to several transparent algorithms for deciding membership in PCS. Anglès Article de fons Power semigroup Power pseudovariety Power operator Completely simple Semigroup Membership problem info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Vol. 56, Núm. 2 (2012), p. 449-465 Publicacions matemàtiques 0214-1493 17 375710 http://ddd.uab.cat/uab/pubmat/pubmat_a2012v56n2/pubmat_a2012v56n2p449.pdf 0449 465 2 56 pubmat_a2012v56n2 2012 ARTPUB UAB PUBMAT Tots els drets reservats http://www.europeana.eu/rights/rr-f/ artpubuab oai:ddd.uab.cat:91342 driver