\Bibitem{Kas93} \by E.~V.~Kashincev \paper On satisfiability of the $C'\left(\frac 13\right)$ and $C(4)$ conditions for special homogeneous semigroups with defining word-powers \jour Mat. Zametki \yr 1993 \vol 54 \issue 3 \pages 40--47 \mathnet{http://mi.mathnet.ru/mzm2403} \mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1248283} \zmath{https://zbmath.org/?q=an:0829.20081} \transl \jour Math. Notes \yr 1993 \vol 54 \issue 3 \pages 903--907 \crossref{https://doi.org/10.1007/BF01209555} \isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993NL76800004}