Algebra (Ring of integer): Suppose that a is not coprime to n. Prove that...(read on)
Let n ∈ N and let [a]n ∈ Zn with [a]n ≠ [0]n.
(a) Suppose that a is not coprime to n. Prove that [a]n is a zero divisor in Zn.
(b) Suppose that a is coprime to n. Prove that [a]n is a unit in Zn.
Thanks in advance.
(a) Suppose that a is not coprime to n. Prove that [a]n is a zero divisor in Zn.
(b) Suppose that a is coprime to n. Prove that [a]n is a unit in Zn.
Thanks in advance.
Quick Reply
Related discussions
- BMO1 questions
- BMO 1993, Round 1, Question 3
- Recursion Q
- MAT question help
- OCR Further Maths Additional Pure 23rd June 2023
- Proof Question [Hard]
- AS maths Core Pure Series question
- The Hard Grade 9 Questions Thread 2019
- STEP foundation module help pls
- Proof by induction - general question - why prove n=1 works?
- Olympiads/ Kangaroos
- MAT practice
- Maths - bouncing ball question
- Can someone help ms in this limit problem
- Edexcel alevel proof question
- Oxbridge Maths - Interview Questions
- Bmo 1 1996 q1
- How do I do this proof?
- Maths question
- Problem solving the smc 2023
Latest
Last reply 2 minutes ago
Turner and Townsend Degree Apprenticeships 2024Last reply 2 minutes ago
Anyone else get an offer for a Rolls Royce degree apprenticeship in Derby (2024)?Last reply 3 minutes ago
Official University of St Andrews Applicant Thread for 2024Last reply 6 minutes ago
Official: University of Manchester A106 2024 Entry ApplicantsMedical Schools
1265
Last reply 7 minutes ago
Official Dental Hygiene and Therapy (Oral Health Science) 2024 Entry ThreadDentistry
2849
Last reply 8 minutes ago
Official London School of Economics and Political Science 2024 Applicant ThreadPosted 8 minutes ago
Help with student finance after living abroad for one yearLast reply 9 minutes ago
Official LSE Offer Holders Thread for 2024 entryLast reply 9 minutes ago
amazon apprenticeship Buying and MerchandisingLast reply 12 minutes ago
Official: King's College London A101 EMDP 2024 Entry ApplicantsMedical Schools
1039
Last reply 14 minutes ago
Official University of the Arts London Applicant Thread for 2024Last reply 15 minutes ago
Official: University of Bristol A100 2024 Entry ApplicantsTrending
Last reply 1 week ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 1 week ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
