Varieties with isomorphic free algebras

David M. Clark

Displaying similar documents to “Varieties with isomorphic free algebras”

A semi group representation of varieties of algebras

B. H. Neumann, E. C. Wiegold (1966)

Colloquium Mathematicae

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A note on varieties of unary algebras

Stanley Burris (1971)

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Completion varieties

W. Bartol, D. Niwiński, L. Rudak (1985)

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On equations of clones

Dietmar Schweigert (1988)

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On varieties of non-indexed algebras

Libor Polák (1977)

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CB-degenerations and rigid degenerations of algebras

Adam Hajduk (2006)

Colloquium Mathematicae

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The main aim of this note is to prove that if k is an algebraically closed field and a k-algebra A₀ is a CB-degeneration of a finite-dimensional k-algebra A₁, then there exists a factor algebra Ā₀ of A₀ of the same dimension as A₁ such that Ā₀ is a CB-degeneration of A₁. As a consequence, Ā₀ is a rigid degeneration of A₁, provided A₀ is basic.

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.