PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 38(52), pp. 8385 (1985) 

ON A THEOREM OF SUTOVSava Krsti\'cMatematicki institut SANU, Beograd, YugoslaviaAbstract: This note deals with formulas occurring in Mal'cev's and Sutov's axiomatizations of the class of semigroups embeddable in a group. Assuming $\alpha$ and $\beta$ are schemes as defined by Mal'cev and $T(\alpha)$, $T(\beta)$ corresponding Mal'cev quasiidentities and $T(\beta,x)$ the Sutov quasiidentity arising from $T(\beta)$ it is proved that there exists a semigroup on which $T(\beta,x)$ is true and $T(\alpha)$ is not whenever $\alpha$ is irreducible and $\alpha > \beta/2+2$. Classification (MSC2000): 20M10, 08M05 Full text of the article:
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