Newbetuts

Define a relation $R$ on $\mathbb{Z}$ by $aRb$ iff $3a - 5b$ is even. Prove $R$ is an equivalence relation and describe equivalence classes.

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Example of a relation that is symmetric and transitive, but not reflexive [duplicate]

Proof that the empty set is a relation

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What is the smallest digraph whose reflexive, symmetric, transitive closures (in all combinations) are distinct?

Consider a set A = {0,1,2,3}, a relation R from set A = {(0,0),(1,1),(2,2),(3,3)}. Is relation R transitive? If yes, how?

How to check whether a relation is transitive from the matrix representation?

Antisymmetric Relations

$x\sim y\iff x^2\equiv y^2\pmod{\!6}$ is an equivalence relation.

How many transitive relations on a set of $n$ elements?

What is the correct way to think about quotient sets and equivalence relations?

If a relation is symmetric and transitive, will it be reflexive? [duplicate]

Cartesian product of two sets

Number of reflexive relations defined on a set A with n elements

New posts in relations

Is my understanding of antisymmetric and symmetric relations correct?

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Prove that the empty relation is Transitive, Symmetric but not Reflexive

Symbol for unknown relation?

Define a relation $R$ on $\mathbb{Z}$ by $aRb$ iff $3a - 5b$ is even. Prove $R$ is an equivalence relation and describe equivalence classes.

How Many Symmetric Relations on a Finite Set?

Example of a relation that is symmetric and transitive, but not reflexive [duplicate]

Proof that the empty set is a relation

Why is belonging not transitive?

What is the smallest digraph whose reflexive, symmetric, transitive closures (in all combinations) are distinct?

Consider a set A = {0,1,2,3}, a relation R from set A = {(0,0),(1,1),(2,2),(3,3)}. Is relation R transitive? If yes, how?

How to check whether a relation is transitive from the matrix representation?

Antisymmetric Relations

$x\sim y\iff x^2\equiv y^2\pmod{\!6}$ is an equivalence relation.

How many transitive relations on a set of $n$ elements?

What is the correct way to think about quotient sets and equivalence relations?

If a relation is symmetric and transitive, will it be reflexive? [duplicate]

Cartesian product of two sets

Number of reflexive relations defined on a set A with n elements