On the Equational Base of SMB Algebras

Petar Đapić (), Sara Bačević and Fedor Kovačević
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Petar Đapić: Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia
Sara Bačević: Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia
Fedor Kovačević: Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia

Mathematics, 2023, vol. 11, issue 5, 1-13

Abstract: The “semilattices of Mal’cev blocks”, for short SMB algebras, were defined by A. Bulatov. In a recently accepted paper by P. Đapić, P. Marković, R. McKenzie, and A. Prokić, the class of all SMB algebras and its subclass of regular SMB algebras were proved to be varieties of algebras. In this paper, we find an equational base of the first variety and simplify the previously known equational base of the second variety.

Keywords: finite axiomatizability; variety (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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