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University student studying math and economics.

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10 Questions

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4	What are the prerequisites for taking introductory abstract algebra?
2	Is the set of positive real numbers a ring under these operations?
2	Does $ab \equiv 0 \pmod n$ imply $n\mid a$ or $n\mid b$ if $n$ is prime?
1	If a $\neq 0$ and b are elements in $\mathbb{ Z}_n $ and $ax = b$ has no solutions in $\mathbb{ Z}_n $, then a is a zero divisor?
1	If $a$ is a unit and $b$ is a zero divisor in a ring $R$, then $ab$ is a zero divisor

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2 Answers

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0	If $ab\equiv ac\pmod n$ and $a \not\equiv 0\pmod n$, then $b\equiv c\pmod n$ is true whenever $(a, n) =1$
0	What is a limit?

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0 elementary-number-theory × 5	0 advice
0 abstract-algebra × 5	0 limit
0 homework × 3	0 calculus
0 modular-arithmetic × 2	0 definition
0 education

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