Varieties of idempotent slim groupoids

Jaroslav Ježek

Displaying similar documents to “Varieties of idempotent slim groupoids”

Slim groupoids

Jaroslav Ježek (2007)

Czechoslovak Mathematical Journal

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Slim groupoids are groupoids satisfying $x (y z) x ̄ z$ . We find all simple slim groupoids and all minimal varieties of slim groupoids. Every slim groupoid can be embedded into a subdirectly irreducible slim groupoid. The variety of slim groupoids has the finite embeddability property, so that the word problem is solvable. We introduce the notion of a strongly nonfinitely based slim groupoid (such groupoids are inherently nonfinitely based) and find all strongly nonfinitely based slim groupoids with...

The ordering of commutative terms

Jaroslav Ježek (2006)

Czechoslovak Mathematical Journal

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By a commutative term we mean an element of the free commutative groupoid $F$ of infinite rank. For two commutative terms $a$ , $b$ write $a \leq b$ if $b$ contains a subterm that is a substitution instance of $a$ . With respect to this relation, $F$ is a quasiordered set which becomes an ordered set after the appropriate factorization. We study definability in this ordered set. Among other things, we prove that every commutative term (or its block in the factor) is a definable element. Consequently, the ordered...

On some properties of Brandt groupoids.

Wainberg, Dorin (2004)

Acta Universitatis Apulensis. Mathematics - Informatics

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Definability for equational theories of commutative groupoids

Jaroslav Ježek (2012)

Czechoslovak Mathematical Journal

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We find several large classes of equations with the property that every automorphism of the lattice of equational theories of commutative groupoids fixes any equational theory generated by such equations, and every equational theory generated by finitely many such equations is a definable element of the lattice. We conjecture that the lattice has no non-identical automorphisms.

Global behavior of a higher-order rational difference equation.

Xi, Hongjian, Sun, Taixiang (2006)

Advances in Difference Equations [electronic only]

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Rio-type inequality for the expectation of products of random variables.

Prakasa Rao, B.L.S. (2005)

Journal of Inequalities and Applications [electronic only]

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