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MAT3702 Assignment 2 (COMPLETE ANSWERS) 2026 - DUE 19 August 2026
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February 2026

2025/2026

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MAT3702 Assignment 2 (COMPLETE ANSWERS) 2026 - DUE 19 August 2026 ... 1. Prove that b | a if and only if (−b) | a. 2. If a | b and b | c, then prove that a | c. 3. Let R,S be rings and consider the following subsets of R × S R = {(r , 0S) | r ∈ R} and S = {(0R, s) | s ∈ S} where 0R ∈ R, 0S ∈ S are the zero elements in R,S respectively. (i) If R = ZZ3,S = ZZ5, then find R,S. (ii) For any rings R,S, show that R is a subring of R × S. (iii) For any rings R,S, show that S is a su...
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EdithNcobgo
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Exam (elaborations)

MAT3702 Assignment 2 (COMPLETE ANSWERS) 2026 - DUE 19 August 2026
-

-

-

11

February 2026

2025/2026

A+
MAT3702 Assignment 2 (COMPLETE ANSWERS) 2026 - DUE 19 August 2026 ... 1. Prove that b | a if and only if (−b) | a. 2. If a | b and b | c, then prove that a | c. 3. Let R,S be rings and consider the following subsets of R × S R = {(r , 0S) | r ∈ R} and S = {(0R, s) | s ∈ S} where 0R ∈ R, 0S ∈ S are the zero elements in R,S respectively. (i) If R = ZZ3,S = ZZ5, then find R,S. (ii) For any rings R,S, show that R is a subring of R × S. (iii) For any rings R,S, show that S is a su...
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EdithNcobgo
R75,00 More Info