List questions from relations

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Equivalence relation homeomorphisms

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Suppose $R$ and $S$ are transitive relations on $A$. Prove that if $S \circ R \subseteq R \circ S$ then $R \circ S$ is transitive.

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Is this relation an Equivalence relation?

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$S=\{(X,Y) \in \mathcal{P}(A) \times \mathcal{P}(A) \mid \forall x \in X \exists y \in Y(xRy)\}.$ If R is symmetric, must S be symmetric?

Published on 28 Apr 2013 - 2:05

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Are these partially ordered set or equivalence relation?

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Published on 28 Apr 2013 - 11:39

List Question

Equivalence relation proofs: general or specific?

A generalization of Galois connections

Name of the order with irreflexivity, antisymmetry and transitivity?

How can I show that this is a partial order?

Functional relations : Trouble seeing transitivity

Do not understand what this question is asking... or the notation, Discrete Structures/Relations

Equivalence relation homeomorphisms

Suppose $R$ and $S$ are transitive relations on $A$. Prove that if $S \circ R \subseteq R \circ S$ then $R \circ S$ is transitive.

Is this relation an Equivalence relation?

Function - Test of Transitivity

Integer proof equivalence class

Domain of a Relation from A to B

$S=\{(X,Y) \in \mathcal{P}(A) \times \mathcal{P}(A) \mid \forall x \in X \exists y \in Y(xRy)\}.$ If R is symmetric, must S be symmetric?

Are these partially ordered set or equivalence relation?

Definition of correspondence

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