commutative algebra - Why is a strict $p$-ring whose residue ring …
Let $A$ be a strict $p$-ring. Recall that this means $A$ is $p$-adically separated and complete, $p:A\rightarrow A$ is injective, and $A/pA$ is a perfect $\mathbf{F ...
Proving that $\\mathbb{Z}(p)$ is a ring - Mathematics Stack …
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abstract algebra - Ring of $p$-adic integers $\mathbb Z_p ...
Let $ p$ be a prime number. Consider ring of formal power series in $ p$ with coefficients from $ \mathbb ...
Ring of the integer $p$-adic numbers $\\mathbb{Z}_p$
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abstract algebra - Ring of Witt vectors over finite fields ...
2018年4月13日 · "More or less" because you have to choose some lifting $$\Bbb F_p \rightarrow \Bbb Z/p^{n}: \quad \bar a \mapsto a.$$ But well, if you just go all the way up to $\Bbb Z$ and …
commutative algebra - Explicit Construction for Cohen’s $p$-ring …
2023年6月19日 · Let $p>0$ be a prime. Recall that a $p$-ring is a complete DVR $A$ with residual filed $k$ of characteristic $p$ such that $p$ is a uniformizer. It is known (e.g ...
ring theory - is a prime ideal iff p is a prime (integral domain ...
2019年5月27日 · Please recall that an integral domain is not just a ring without zero divisors additionally it is a commutative ring with identity and as mentioned luxherhia the non-zero …
Infinitely Ramified Witt vectors - Mathematics Stack Exchange
2018年3月3日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
abstract algebra - Ring endomorphism of $p$-adic integers
2021年3月28日 · I am doing an individual study of an abstract algebra for number theory course online. I just started, so I hope my question just note come off as too trivial. The lecture notes …
ring theory - $p$-adic completion of $\mathbb {Z} [X]$ and …
ring-theory; p-adic-number-theory. Related. 6. Representations of p-adic integers as certain infinite sums ...