Question

Why is \begin{align}2x^2+2x=2x-2 | F_3[x] / (x^2 +1)? \end{align}

score 70 · Answer 1 · 2026-03-25 17:24:42

70

Views

Why is \begin{align}2x^2+2x=2x-2 | F_3[x] / (x^2 +1)? \end{align}

Published on 25 Mar 2026 - 17:24

score 100 · Answer 2 · 2026-04-13 14:43:03

100

Views

Property of multiplication in (Banach) algebra $\ell^{1}(\mathbb{Z})$.

Published on 13 Apr 2026 - 14:43

score 179 · Answer 3 · 2026-04-17 08:28:56

179

Views

Units of $\mathbb{Z}[\sqrt {-2}]$, and are $3,5$ irreducible in $\mathbb{Z}[\sqrt {-2}]$?

Published on 17 Apr 2026 - 8:28

score 190 · Answer 4 · 2026-05-10 16:12:36

190

Views

Proving rationals of the form $2^{-n}m$ are a Euclidean ring

Published on 10 May 2026 - 16:12

score 46 · Answer 5 · 2026-04-14 09:35:32

46

Views

Proving that factor ring R/I is local if R is local

Published on 14 Apr 2026 - 9:35

score 71 · Answer 6 · 2026-04-09 08:28:22

71

Views

Are there any $\mathbf{Z}[x]$-algebra maps of the following form?

Published on 09 Apr 2026 - 8:28

score 1.5k · Answer 7 · 2026-04-12 10:42:06

1.5k

Views

Is $\frac{1}{\alpha} \in \mathbb{Q}[\alpha]$ for irrational $\alpha$?

Published on 12 Apr 2026 - 10:42

score 50 · Answer 8 · 2026-04-13 22:37:59

50

Views

Let $R$ be a ring with unity and let $I$ be an ideal of $R$. Prove that $l_{R/I}(a+I)=(l_R(a)+I)/I.$

Published on 13 Apr 2026 - 22:37

score 57 · Answer 9 · 2026-05-05 19:38:52

57

Views

Quotient set of associate elements

Published on 05 May 2026 - 19:38

score 516 · Answer 10 · 2026-05-10 16:13:56

516

Views

Let $R$ be an integral domain and $p,q \in R$. Is it true that $(pq)R = pR \cap qR$?

Published on 10 May 2026 - 16:13

score 84 · Answer 11 · 2026-04-13 04:17:47

84

Views

Proving properties about the subset of elements with multiplicative inverses in a finite commutative ring with unity.

Published on 13 Apr 2026 - 4:17

score 565 · Answer 12 · 2026-04-16 12:34:04

565

Views

Ring structure on a ring of order 4.

Published on 16 Apr 2026 - 12:34

score 87 · Answer 13 · 2026-04-29 12:54:46

87

Views

How can I prove that if a domain $R$ is an injective module, then $R$ is a field?

Published on 29 Apr 2026 - 12:54

score 159 · Answer 14 · 2026-04-24 20:03:25

159

Views

Bijective correspondence between the set of all $K$-algebra homomorphisms and the set of all zeros of $f$ in $A.$

Published on 24 Apr 2026 - 20:03

score 198 · Answer 15 · 2026-04-14 11:15:18

198

Views

Questions regarding subrings of $\Bbb Q$

Published on 14 Apr 2026 - 11:15

List Question

Why is \begin{align}2x^2+2x=2x-2 | F_3[x] / (x^2 +1)? \end{align}

Property of multiplication in (Banach) algebra $\ell^{1}(\mathbb{Z})$.

Units of $\mathbb{Z}[\sqrt {-2}]$, and are $3,5$ irreducible in $\mathbb{Z}[\sqrt {-2}]$?

Proving rationals of the form $2^{-n}m$ are a Euclidean ring

Proving that factor ring R/I is local if R is local

Are there any $\mathbf{Z}[x]$-algebra maps of the following form?

Is $\frac{1}{\alpha} \in \mathbb{Q}[\alpha]$ for irrational $\alpha$?

Let $R$ be a ring with unity and let $I$ be an ideal of $R$. Prove that $l_{R/I}(a+I)=(l_R(a)+I)/I.$

Quotient set of associate elements

Let $R$ be an integral domain and $p,q \in R$. Is it true that $(pq)R = pR \cap qR$?

Proving properties about the subset of elements with multiplicative inverses in a finite commutative ring with unity.

Ring structure on a ring of order 4.

How can I prove that if a domain $R$ is an injective module, then $R$ is a field?

Bijective correspondence between the set of all $K$-algebra homomorphisms and the set of all zeros of $f$ in $A.$

Questions regarding subrings of $\Bbb Q$

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