Question

If ${\triangle^k f}$ is constant and $f_n = p(n)$ for all $n \le k$ then $f_n = p(n)$ for all $n \in \mathbb N$

score 67 · Answer 1 · 2019-07-23 04:33:08

67

Views

If ${\triangle^k f}$ is constant and $f_n = p(n)$ for all $n \le k$ then $f_n = p(n)$ for all $n \in \mathbb N$

Published on 23 Jul 2019 - 4:33

score 141 · Answer 2 · 2026-03-31 18:58:54

141

Views

Can $\Bbb Z_n$l ideals be generated by one element?

Published on 31 Mar 2026 - 18:58

score 479 · Answer 3 · 2019-07-23 06:30:10

479

Views

Let $\alpha$ be an algebraic integer, $R=\Bbb Z[\alpha]$, and $m \in \mathbb{Z}$. Prove that $ R/mR$ is finite and find $|R/mR|$

Published on 23 Jul 2019 - 6:30

score 36 · Answer 4 · 2026-03-25 12:53:32

36

Views

Showing surjectivity of ring homomorphism

Published on 25 Mar 2026 - 12:53

score 183 · Answer 5 · 2026-04-03 07:22:55

183

Views

If an $R$-module $M \cong M \oplus M$ then if $S=\operatorname{Hom}_R(M,M)$ we have $S \cong S \oplus S$

Published on 03 Apr 2026 - 7:22

score 355 · Answer 6 · 2019-07-23 16:04:33

355

Views

Prove that if $R$ is a non-commutative ring with $1$ and if $a,b \in R$ and if $ab =1 $ but $ba \neq 1$ then $R$ is infinite

Published on 23 Jul 2019 - 16:04

score 104 · Answer 7 · 2019-07-23 16:45:15

104

Views

Is connected graded $k$-algebra local?

Published on 23 Jul 2019 - 16:45

score 2.3k · Answer 8 · 2026-04-08 06:10:52

2.3k

Views

Generator of Power of Ideal

Published on 08 Apr 2026 - 6:10

score 1.3k · Answer 9 · 2019-07-24 17:50:14

1.3k

Views

Why does the tensor product of rings correspond to the product of their spectra?

Published on 24 Jul 2019 - 17:50

score 128 · Answer 10 · 2026-04-01 17:37:18

128

Views

Showing that $R \otimes_{R[X]} R[Y] \cong R[Y]/(Y^2)$

Published on 01 Apr 2026 - 17:37

score 509 · Answer 11 · 2019-07-24 22:18:09

509

Views

Finite algebra over a ring is a field

Published on 24 Jul 2019 - 22:18

score 88 · Answer 12 · 2026-03-31 18:54:43

88

Views

Who is Correct? (Determine the Ideal)

Published on 31 Mar 2026 - 18:54

score 48 · Answer 13 · 2026-04-10 00:39:25

48

Views

Does this hold anywhere close to remotely over finite fields and rings?

Published on 10 Apr 2026 - 0:39

score 98 · Answer 14 · 2019-07-25 13:45:17

98

Views

Prove that $\langle 2+i\rangle$ is a maximal ideal for Gaussian Integers $\Bbb Z[i]$

Published on 25 Jul 2019 - 13:45

score 267 · Answer 15 · 2019-07-25 18:10:42

267

Views

Show that $\mathbb{Z}_{(3)}$ is not a field

Published on 25 Jul 2019 - 18:10

List Question

If ${\triangle^k f}$ is constant and $f_n = p(n)$ for all $n \le k$ then $f_n = p(n)$ for all $n \in \mathbb N$

Can $\Bbb Z_n$l ideals be generated by one element?

Let $\alpha$ be an algebraic integer, $R=\Bbb Z[\alpha]$, and $m \in \mathbb{Z}$. Prove that $ R/mR$ is finite and find $|R/mR|$

Showing surjectivity of ring homomorphism

If an $R$-module $M \cong M \oplus M$ then if $S=\operatorname{Hom}_R(M,M)$ we have $S \cong S \oplus S$

Prove that if $R$ is a non-commutative ring with $1$ and if $a,b \in R$ and if $ab =1 $ but $ba \neq 1$ then $R$ is infinite

Is connected graded $k$-algebra local?

Generator of Power of Ideal

Why does the tensor product of rings correspond to the product of their spectra?

Showing that $R \otimes_{R[X]} R[Y] \cong R[Y]/(Y^2)$

Finite algebra over a ring is a field

Who is Correct? (Determine the Ideal)

Does this hold anywhere close to remotely over finite fields and rings?

Prove that $\langle 2+i\rangle$ is a maximal ideal for Gaussian Integers $\Bbb Z[i]$

Show that $\mathbb{Z}_{(3)}$ is not a field

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