Displaying similar documents to “Finitely axiomatizable varieties of BCK-algebras.”

Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects

Finogenova, Olga (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: 16R10, 16R40. We discuss characterizations of some non-matrix properties of varieties of associative algebras in the language of forbidden objects. Properties under consideration include the Engel property, Lie nilpotency, permutativity. We formulate a few open problems. * The author acknowledges support from the Russian Foundation for Basic Research, grant 10-01-00524.

Equivalential algebras with conjunction on the regular elements

Sławomir Przybyło (2021)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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We introduce the definition of the three-element equivalential algebra R with conjunction on the regular elements. We study the variety generated by R and prove the Representation Theorem. Then, we construct the finitely generated free algebras and compute the free spectra in this variety.