New posts in relations

The map $f:\mathbb{Z}_3 \to \mathbb{Z}_6$ given by $f(x + 3\mathbb{Z}) = x + 6\mathbb{Z}$ is not well-defined

functions relations equivalence-relations

Define a relation and find its equivalence classes.

elementary-set-theory relations equivalence-relations

The binary relation $R:=\subseteq$ with $\operatorname{Domain}(R)=\operatorname{Codomain}(R)=\mathscr{P}(A)$?

elementary-set-theory relations

Cardinality of relations set

elementary-set-theory relations cardinals

What does it mean when I say that addition/multiplication for an equivalence relation is well defined?

abstract-algebra modular-arithmetic relations equivalence-relations

Definition of a transitive relation.

definition relations

Why is $y = \sqrt{x-4}$ a function? and $y = \sqrt{4 - x^2}$ should be a circle

algebra-precalculus functions graphing-functions relations

Is the relation $R = \emptyset$ is it reflexive, symmetric and transitive ? Why?

Sole minimal element: Why not also the minimum?

elementary-set-theory relations order-theory

Prove that the intersection of two equivalence relations is an equivalence relation. [closed]

relations equivalence-relations

Is statistical dependence transitive?

probability statistics relations

Is the following relation reflexive, symmetric and transitive?

'Does not necessarily equal' symbol

notation relations

How to find the number of anti-symmetric relations?

combinatorics elementary-set-theory relations

$\succsim$ preorder on X being continuous imply lower contour set closed

sequences-and-series analysis proof-verification relations economics

I need help understanding Equivalence Relations and Equivalence Classes to proceed in Topology

relations equivalence-relations

How to prove that there is no 5-ary operation in a clone satisfying certain conditions

abstract-algebra relations universal-algebra invariance

Equivalence relation $(a,b) R (c,d) \Leftrightarrow a + d = b + c$

discrete-mathematics relations equivalence-relations

Is an anti-symmetric and asymmetric relation the same? Are irreflexive and anti reflexive the same?

logic terminology relations

Prove that $\text{Id}_{\text{dom }\mathcal R}⊆\mathcal R^{-1}∘\mathcal R$ and $\text{Id}_{\text{rank }\mathcal R}⊆\mathcal R∘\mathcal R^{-1}$

elementary-set-theory solution-verification relations