transfinite arithmetic, cardinal arithmetic, ordinal arithmetic
prime field, p-adic integer, p-adic rational number, p-adic complex number
arithmetic geometry, function field analogy
A weak version of the ascending chain condition for rings which only applies to principal ideals instead of all ideals.
Noetherian rings satisfy the ascending chain condition on principal ideals.
unique factorization domains are precisely the GCD domains which satisfy the ascending chain condition on principal ideals.
Last revised on January 11, 2025 at 18:23:45. See the history of this page for a list of all contributions to it.