M-hyperquasivarieties

E. Graczynska and D. Schweigert

Abstract. We consider the notion of M-hyper-quasi-identities and M-hyperquasivarieties,
as a common generalization of the concept of quasi-identity (hyper-quasi-identity) and
quasivariety (hyper-quasivariety) invented by A. I. Mal'cev, cf. [13], cf. [6] and 
hypervariety invented by the authors in [15], [8] and hyperquasivariety [9]. 
The results of this paper were presented on the 69th Workshop on General Algebra, 
held at Potsdam University (Germany) on March 18-20, 2005.

Keywords: M-hyper-quasi-identities, M-hyperquasivarieties.