How to prove Ass$(R/Q)=\{P\}$ if and only if $Q$ is $P$-primary when $R$ is Noetherian?
87151
Primary ideals in Noetherian rings
67706
If $R$ is a Noetherian ring then $R[[x]]$ is also Noetherian
77759
How do i prove that $(p \vee q) \wedge (\neg p \vee r) \rightarrow (q \vee r)$ is a tautology without using the truth table?
146801
Primary decomposition of an ideal
70320
Let $R$ be a commutative Noetherian ring (with unity), and let $I$ be an ideal of $R$ such that $R/I \cong R$. Then is $I=(0)$?
113391
Prove that if $A$ is transitive, then $\mathcal{P}(A)$ is transitive too.
102464
Prove $R < ( 1 + (\sum |a_{i}|^{p} )^{q/p})^{1/q}$ for absolute value of polynomial zeros
138752
Prove the Radical of an Ideal is an Ideal
30356
$a =\prod_{i = 1}^{r} p_{i}^{ai}$ with $a_{i} > 0$ for each $i$ is the canonical representation of $a$...
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
65379
Deriving $\neg R$ from $\{R↔(R∨(P∧¬P)), R↔¬P, ¬P→(P↔(Q→Q)), P→Q\}$
21035
Clarifying on how if p,q is logically equivalent to p only if q
31585
Primary ideals of $\mathbb{Z}$
158583
Prove that if $M$ is an $R-$ projective left module then $M/IM$ is an $R/I-$ projective left module.
151803
Prove that $R$ is commutative
83407
How to show that that $q \mid p-1$?
113152
Prove Principal Ideal Domain from Bezout's condition, and terminating divisibility chain