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Abstract Algebra

University of South Africa (Unisa)

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Abstract Algebra

Abstract Algebra

Dummit

11 documents

A First Course in Abstract Algebra [rental Edition]

A First Course in Abstract Algebra [rental Edition]

John B Fraleigh, Neal Brand

2 documents

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MAT3702 Assignment 1 (COMPLETE ANSWERS) 2026 - DUE 13 May 2026 MAT3702 Assignment 1 (COMPLETE ANSWERS) 2026 - DUE 13 May 2026

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    MAT3702 Assignment 1 (COMPLETE ANSWERS) 2026 - DUE 13 May 2026

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  • MAT3702 Assignment 1 (COMPLETE ANSWERS) 2026 - DUE 13 May 2026; 100% TRUSTED Complete, trusted solutions and explanations. For assistance, Whats-App 0.6.7-1.7.1-1.7.3.9. Ensure your success with us... 1. Let A,B,C be sets and show that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). 2. Let G be a finite group with x, y ∈ G and prove that xy and yx have the same order. 3. Let G be a group such that every nonidentity element in G has order 2 and prove that G is abelian. 4. Show that ( ZZ, +) is a...
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MAT3702 Assignment 1 (ANSWERS) 2026 - DISTINCTION GUARANTEED MAT3702 Assignment 1 (ANSWERS) 2026 - DISTINCTION GUARANTEED

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    MAT3702 Assignment 1 (ANSWERS) 2026 - DISTINCTION GUARANTEED

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  • Comprehensively structured MAT3702 Assignment 1 (ANSWERS) 2026 - DISTINCTION GUARANTEED. Prepared to a distinction standard with detailed and well-developed responses... 1. Let A,B,C be sets and show that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). 2. Let G be a finite group with x, y ∈ G and prove that xy and yx have the same order. 3. Let G be a group such that every nonidentity element in G has order 2 and prove that G is abelian. 4. Show that ( ZZ, +) is a subgroup of (Q| , +). 5. Show...
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MAT3702 exam Solutions package 2026

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    MAT3702 exam Solutions package 2026

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  • MAT3702 exam Solutions package 2024, 2025 & 2026 0-7-9-3-2-2-6-4-2-7 this document consists of assignment 1 & 2 questions and soultions 2026. and exam questions 2024 and 2025 exam questions with solutions and few notes tips
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MAT3702 Assignment 1 2026 | Due 13 May 2026 - Distinction Guaranteed

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    MAT3702 Assignment 1 2026 | Due 13 May 2026 - Distinction Guaranteed

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  • MAT3702 Assignment 1; SEMESTER 1 2026 | Due 13 May 2026 - Distinction Guaranteed
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MAT3702 Assignment 2 2026 | Due 19 August 2026 - Distinction Guaranteed

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    MAT3702 Assignment 2 2026 | Due 19 August 2026 - Distinction Guaranteed

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  • MAT3702 Assignment 2 2026 | Due 19 August 2026 - Distinction Guaranteed .
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MAT3702 Assignment 01 and 02 SOLUTIONS 2026

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    MAT3702 Assignment 01 and 02 SOLUTIONS 2026

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  • MAT3702 Assignment 01 and 02 SOLUTIONS 2026. SAVE 35RANDS THIS IS iQ Level garantee to give you 100% pass documents all the time 0-7-9-3-2-2-6-4-2-7
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MAT3702 Assignment 02 SOLUTIONS 2026

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    MAT3702 Assignment 02 SOLUTIONS 2026

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  • MAT3702 Assignment 02 SOLUTIONS 2026 DUE: 19 AUGUST 2026 0-7-9-3-2-2-6-4-2-7 ALL ANSWERS ARE CLEAN VERIFIED AND 100% PASS GARANTEE REACH US FOR ME
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MAT3702 Assignment 1 SOLUTIONS 2026

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    MAT3702 Assignment 1 SOLUTIONS 2026

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  • MAT3702 Assignment 1 SOLUTIONS 2026 0-7-9-3-2-2-6-4-2-7 WE HELP IN ALL maths and physics. reach us for more DUE: 13 MAY 2026
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MAT3702 Assignment 1 Memo 2026 - Step by Step Calculations | Due Date 13 May 2026

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    MAT3702 Assignment 1 Memo 2026 - Step by Step Calculations | Due Date 13 May 2026

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  • MAT3702 Assignment 1 Memo 2026 - Step by Step Calculations | Due Date 13 May 2026
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Abstract Algebra MAT3702, University of South Africa (UNISA), 2018 — Assignment 01 Complete Solutions

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    Abstract Algebra MAT3702, University of South Africa (UNISA), 2018 — Assignment 01 Complete Solutions

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  • This document contains detailed solutions to Assignment 01 for the Abstract Algebra course MAT3702 at the University of South Africa (UNISA). It covers key topics such as functions and compositions, equivalence relations, permutations, subgroup proofs, homomorphisms, abelian groups, and group properties. The material follows the assignment structure and demonstrates step-by-step reasoning for each problem, making it useful for exam preparation and conceptual understanding
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MAT3702 ASSIGNMENT 1 & 2 2026 - FULL MEMO

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    MAT3702 ASSIGNMENT 1 & 2 2026 - FULL MEMO

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  • MAT3702 ASSIGNMENT 1 & 2 2026 - FULL MEMO
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MAT3702 Assignment 2 Memo | Due 19 August 2026

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    MAT3702 Assignment 2 Memo | Due 19 August 2026

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  • MAT3702 Assignment 2 Memo | Due 19 August 2026. All questions fully solved. 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
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MAT3702 Assignment 1 Memo | Due 13 May 2026

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    MAT3702 Assignment 1 Memo | Due 13 May 2026

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  • MAT3702 Assignment 1 Memo | Due 13 May 2026. All questions fully solved. 1. Let A,B,C be sets and show that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). 2. Let G be a finite group with x, y ∈ G and prove that xy and yx have the same order.
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MAT3702 Assignment 01 Answers Year 2026

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    MAT3702 Assignment 01 Answers Year 2026

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

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    MAT3702 Assignment 2 (COMPLETE ANSWERS) 2026 - DUE 19 August 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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MAT3702 Assignment 1 (COMPLETE ANSWERS) 2026 - DUE 13 May 2026 MAT3702 Assignment 1 (COMPLETE ANSWERS) 2026 - DUE 13 May 2026

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    MAT3702 Assignment 1 (COMPLETE ANSWERS) 2026 - DUE 13 May 2026

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  • MAT3702 Assignment 1 (COMPLETE ANSWERS) 2026 - DUE 13 May 2026 1. Let A,B,C be sets and show that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). 2. Let G be a finite group with x, y ∈ G and prove that xy and yx have the same order. 3. Let G be a group such that every nonidentity element in G has order 2 and prove that G is abelian. 4. Show that ( ZZ, +) is a subgroup of (Q| , +). 5. Show that A3 is a cyclic group of order 3. 6. Let G be an abelian group with a ∈ G and N a subgroup of G. ...
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MAT3702 Assignment 2 (QUALITY ANSWERS) 2026 MAT3702 Assignment 2 (QUALITY ANSWERS) 2026

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    MAT3702 Assignment 2 (QUALITY ANSWERS) 2026

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  • This document provides detailed workings, clear explanations, and well-structured solutions for the MAT3702 Assignment 2 (QUALITY ANSWERS) 2026 - For assistance call or Whats-App us on 0.8.1..2.7.8..3.3.7.2 .. 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) I...
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MAT3702 Assignment 1 (QUALITY ANSWERS) 2026

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    MAT3702 Assignment 1 (QUALITY ANSWERS) 2026

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  • This document provides detailed workings, clear explanations, and well-structured solutions for the MAT3702 Assignment 1 (QUALITY ANSWERS) 2026 - For assistance call or Whats-App us on 0.8.1..2.7.8..3.3.7.2 .. 1. Let A,B,C be sets and show that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). 2. Let G be a finite group with x, y ∈ G and prove that xy and yx have the same order. 3. Let G be a group such that every nonidentity element in G has order 2 and prove that G is abelian. 4. Show that ( Z...
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MAT3702 Assignment 2 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED MAT3702 Assignment 2 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED

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    MAT3702 Assignment 2 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED

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  • MAT3702 Assignment 2 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED Answers, guidelines, workings and references.. 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) Fo...
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MAT3702 Assignment 1 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED MAT3702 Assignment 1 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED

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    MAT3702 Assignment 1 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED

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    February 2026
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  • MAT3702 Assignment 1 (DETAILED ANSWERS) 2026 - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED - DISTINCTION GUARANTEED Answers, guidelines, workings and references.. 1. Let A,B,C be sets and show that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). 2. Let G be a finite group with x, y ∈ G and prove that xy and yx have the same order. 3. Let G be a group such that every nonidentity element in G has order 2 and prove that G is abelian. 4. Show that ( ZZ, +) is a subgroup of (Q| , +). 5. Show t...
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MAT3702 Assignment 2 (ANSWERS) 2026 - DISTINCTION GUARANTEED MAT3702 Assignment 2 (ANSWERS) 2026 - DISTINCTION GUARANTEED

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    MAT3702 Assignment 2 (ANSWERS) 2026 - DISTINCTION GUARANTEED

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    10
    February 2026
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  • Comprehensively structured MAT3702 Assignment 2 (ANSWERS) 2026 - DISTINCTION GUARANTEED. Prepared to a distinction standard with detailed and well-developed responses... 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)...
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