Let R and S be binary relations on a set A. Solve for each case: If R and S are i) reflexive, ii) symmetric, iii) transitive, what would R∪S be?
17363
Prove that the intersection of two equivalence relations is an equivalence relation.
120495
Does this correctly interpret the "$\cong$" between groups as "$=$" between sets?
31392
Examples and Counterexamples of Relations which Satisfy Certain Properties
85507
Equivalence Relation problem
106756
Union and Intersection of Sets $A_{i}$ and $B_{j}$
56370
Associative operation on a set $S$
96845
Question: Compare the cardinality between the sets $\Bbb R$ and $\Bbb N^{\Bbb N}$
66563
Is $ (A∪B)×(C∩D)=(A∪C)×(B∪D)$ true for all sets A,B,C and D?
57466
Reflexive and relation
29232
Find total number of relations that are equivalence as well as partial order set
97801
If $R_{1}$ and $R_{2}$ are relations on a set S with $R_{1};R_{2}=R_{2};R_{1}$. Then $R_{1}$ and $R_{2}$ are bijective maps
103378
What is a composition of two binary relations geometrically?
18800
If A and B are symmetric is AB=BA true?
37196
"If P, then Q; If P, then R; Therefore: If Q, then R." Fallacy and Transitivity
128093
Regarding the values that n and r can take in $\binom{n}{r}$
64658
How many associative binary operations for a set of two elements?
36114
conjunction of disjunctions and disjunction of conjunctions