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On the Equational Base of SMB Algebras

Author

Listed:
  • 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)

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.

Suggested Citation

  • Petar Đapić & Sara Bačević & Fedor Kovačević, 2023. "On the Equational Base of SMB Algebras," Mathematics, MDPI, vol. 11(5), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1206-:d:1084760
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    Keywords

    finite axiomatizability; variety;

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