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7-Consider a relation R on a set A. Prove that if (RIA) is a poset, then (RA) is also a poset. Notice that (ba) ER if and only if laible R.

7-Consider a relation R on a set A. Prove that if (RIA) is a poset, then (RA) is also a poset. Notice that (ba) ER if and only if laible R.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4-Consider a relation R on a set A. Prove that if (R₁A) is a poset, then (R), A) is also a poset. Notice that (b, a) ER if and only if (a,b)ER. 5- Draw the Hasse diagrams of divisibility relation "I" on the sets A = {1,2,3,4,5,6,7,87 and B = {1,2,3/6, 12, 247. Determine if (A, 1) or (B₁1) is a lattice.
Transcribed Image Text:4-Consider a relation R on a set A. Prove that if (R₁A) is a poset, then (R), A) is also a poset. Notice that (b, a) ER if and only if (a,b)ER. 5- Draw the Hasse diagrams of divisibility relation "I" on the sets A = {1,2,3,4,5,6,7,87 and B = {1,2,3/6, 12, 247. Determine if (A, 1) or (B₁1) is a lattice.
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