Nov 14, 2020 Thread starter #1 T THEcj39 New member Nov 14, 2020 2 How can I prove that Zp is a vector space if and only if p is prime

Nov 14, 2020 #2 C Cbarker1 Active member Jan 8, 2013 242 What does the Z5 under addition and multiplication look like? What are the axioms of vector space?

Nov 15, 2020 #3 C Country Boy Well-known member MHB Math Helper Jan 30, 2018 537 A vector space over what field? Are you sure the problem is not to show that Zp is a field if and only if p prime?

A vector space over what field? Are you sure the problem is not to show that Zp is a field if and only if p prime?

Nov 15, 2020 Thread starter #4 T THEcj39 New member Nov 14, 2020 2 Country Boy said: A vector space over what field? Are you sure the problem is not to show that Zp is a field if and only if p prime? Click to expand... The exercise doesn't specifies so I think is any field, and yes I'm sure the problem is vector spaces not fields

Country Boy said: A vector space over what field? Are you sure the problem is not to show that Zp is a field if and only if p prime? Click to expand... The exercise doesn't specifies so I think is any field, and yes I'm sure the problem is vector spaces not fields

Nov 15, 2020 #5 C Country Boy Well-known member MHB Math Helper Jan 30, 2018 537 Any field is a vector space over itself so it is sufficient to show that Zp is a field if and only if p is prime.

Any field is a vector space over itself so it is sufficient to show that Zp is a field if and only if p is prime.