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Varieties of Posets

Order, 2005
The authors introduce the notion of homomorphism and of a congruence relation for arbitrary partially ordered set (poset). Let \(P\) be a poset and \(Q\) a subposet of \(P\). Then \(Q\) is said to be an \(l\)-subposet of \(P\) if the identity map \(Q\to P\) is a homomorphism.
Alfonz Haviar, Judita Lihová
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Varieties of ”If-Then-Else“

SIAM Journal on Computing, 1983
Four classes of algebras are considered. The algebras in each class contain functions whose behavior models a version of the “if-then-else” instruction. In one version, for example, the algebras contain a function $\kappa $ of four arguments such that $\kappa (x,y,u,v) = u$ if $x = y$ and $\kappa (x,y,u,v) = v$ if $x \ne y$.
Stephen L. Bloom, Ralph Tindell
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VARIETIES DOMINATED BY PRODUCT VARIETIES

International Journal of Mathematics, 1996
A variety \(W\) over an algebraically closed field \(\overline k\) is said to be dominated by products of curves (abbreviated DPC) if there exist curves \(X_1, \dots, X_s\) defined over \(\overline k\) and a dominant rational map \(F:X_1 \times \cdots \times X_s \to W\).
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Extractors for Varieties

2009 24th Annual IEEE Conference on Computational Complexity, 2009
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