Let (N,*) where a,b, c € N; a * b = lcm[a, b]a) It is * a law of internal composition in N?b) It is * associative in N?c) Has identity * in N?d) It is * commutative in N?

Given : ℕ, * be the algebraic structure such that a*b = lcm[a, b], where a, b ∈ℕ. To check :…

Answered: Let (N,*) where a, b, c E N; a * b =…

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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Q3) b) In how many distinguishable ways can letters of the word "TENNESSEE" be ?arranged 12051 O 10215 O 15120 O none of all above O
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13)
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Let (N,*) where a, b, c E N; a * b = lcm[a, b] a) It is a law of internal composition in N? b) It is associative in N? c) Has identity* in N? d) It is* commutative in N?

Let (N,) where a, b, c E N; a b = lcm[a, b] a) It is a law of internal composition in N? b) It is associative in N? c) Has identity* in N? d) It is* commutative in N?