# Tagged Questions

This tag is intended for questions concerning partial orders, equivalence relations, properties of relations (transitive, symmetric,...), composition of relations and similar stuff. More-or-less the things about relations taught in the first elementary set theory or discrete math course.

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### Partially ordered set and a method that can quickly solve these questions?!

I prepare for Msc Qualification exam. This is 2015 Exams, with Answer is option (2). Set $M={2,3,4,...}$ is given. Suppose $M \times M$ is sorted in which $(a,b) \leq (c,d)$ if and only if $c$ is ...
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### A category of relations - or two different?

Objects in the category Rel2 (my notation) are the relations $r\subseteq A\times B$, $r'\subseteq A'\times B'$ (the morphisms in Rel) and morphisms are pair of relations $\alpha\subseteq A\times A'$ ...
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### Definition of Relation of a Set

The standard definition of a relation of an arbitrary set A is a subset of the set product of A, AxA. Is it okay to define relation R to be a subset of the set product AxA such that R has at least ...
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### Geometric arithmetic: triangular number triples [closed]

Call a triple $x, y,$ and $z$ of numbers triangular if and only if there is a triangle whose sides are in the triple ratio $x:y:z$. Since the sum of two sides of a triangle exceeds the remaining side, ...
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