List questions from integral-domain | MathQa

A principal maximal ideal

Published on 12 Jan 2025 - 17:51

Derivative with respect to a variable that is in the region of integration

Published on 12 Jan 2025 - 9:44

Show the set of GCD's of two elements in an integral domain is the set of associates of their GCD

Published on 12 Jan 2025 - 9:44

Relation between a maximal ideal and an invertible ideal

Published on 12 Jan 2025 - 9:44

Prove that dimension of $A$ is zero iff it is a field, where $A$ is an integral domain.

Published on 12 Jan 2025 - 9:44

Generators of polynomial rings in relation to a quotient ring.

Published on 12 Jan 2025 - 9:44

Show that each element of $K$ can be written as $\frac{b}{a}$ where, $b\in B, a\in A$

Published on 12 Jan 2025 - 9:35

$a\odot b = ab+a+b$ over $\Bbb Z$ no zero divisors?

Published on 12 Jan 2025 - 9:44

If $R$ is an integral domain, then $(R[x])^\times=R^\times$

Published on 12 Jan 2025 - 9:44

Maximal and Prime Ideals

Published on 12 Jan 2025 - 17:45