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Abstract Algebra : binary realtions solved
problems
effective learning : See our coming courses on udemy.com
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Effective learning: moghaffal@gmail.com
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
Binary Relation
E = ∅
f : E × E → E
E
b a f (a, b) E b a
a⊥b a ∧ b aTb a ∗ b
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
f : N × N → N
(a, b) → a − b
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
f : Q × Q → Q
(a, b) → |a| − |b|
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
T
f : T × T → T
(C1, C2) → C
C2 C1 C
f
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
P P
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
P P
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
(C(a, b), R, <)
R (a, b)
(C(a, b), R, <)
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
E = {n2, n ∈ N}
(N, +) E
(N, ×) E
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
N N2 N1
E = {2k + 1k ∈ N}
(N2, +) (N1, +) E
(N2, ×) (N1, ×) E
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
N N2 N1
f : N1 × N1 → N1
(a, b) → a + b
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
N N2 N1
f : N2 × N2 → N2
(a, b) → a × b
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
∆ E P(E)
A∆B = (A − B) ∪ (B − A)
φ : P(E) × P(E) → P(E)
(A, B) → A∆B
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
α E P(E)
AαB = (A − B)
ψ : P(E) × P(E) → P(E)
(A, B) → AαB
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
α E P(E)
AαB = (A − B)
ψ : P(E) × P(E) → P(E)
(A, B) → AαB
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
Abstract Algebra
udemy.com
For any questions, please email me: moghaffal@gmail.com
effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems

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Binary relations

  • 1. Abstract Algebra : binary realtions solved problems effective learning : See our coming courses on udemy.com Presented by: Effective learning: moghaffal@gmail.com effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 2. Abstract Algebra Binary Relation E = ∅ f : E × E → E E b a f (a, b) E b a a⊥b a ∧ b aTb a ∗ b effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 3. Abstract Algebra f : N × N → N (a, b) → a − b effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 4. Abstract Algebra f : Q × Q → Q (a, b) → |a| − |b| effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 5. Abstract Algebra T f : T × T → T (C1, C2) → C C2 C1 C f effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 6. Abstract Algebra P P effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 7. Abstract Algebra P P effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 8. Abstract Algebra (C(a, b), R, <) R (a, b) (C(a, b), R, <) effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 9. Abstract Algebra E = {n2, n ∈ N} (N, +) E (N, ×) E effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 10. Abstract Algebra N N2 N1 E = {2k + 1k ∈ N} (N2, +) (N1, +) E (N2, ×) (N1, ×) E effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
  • 11. Abstract Algebra N N2 N1 f : N1 × N1 → N1 (a, b) → a + b effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
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  • 14. Abstract Algebra α E P(E) AαB = (A − B) ψ : P(E) × P(E) → P(E) (A, B) → AαB effective learning : See our coming courses on udemy.com Abstract Algebra : binary realtions solved problems
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