Question

A question about the proof of Hilbert's Basis Theorem

score 226 · Answer 1 · 2026-04-11 10:42:33

A question about the proof of Hilbert's Basis Theorem

Published on 11 Apr 2026 - 10:42

score 2.6k · Answer 2 · 2026-04-16 08:28:01

Suppose that $F$ is a field of characteristic $\neq 2$ and non zero elements of $F$ form a cyclic group under multiplication. Prove that $F$ is finite

score 53 · Answer 3 · 2026-04-12 20:18:09

53

Views

For which $n,k > 1$ does $n\mathbb{Z}_k$ have a multiplicative identity?

Published on 12 Apr 2026 - 20:18

score 95 · Answer 4 · 2026-04-15 18:58:27

In an infinite cyclic field of non zero units, characteristic $\neq 2$, can an element $-u \neq u$ be expressed as $u^t$ for some finite integer $t$?

score 381 · Answer 5 · 2026-04-13 04:24:07

381

Views

Quotient ring isomorphism

Published on 13 Apr 2026 - 4:24

score 74 · Answer 6 · 2026-04-12 23:28:14

74

Views

idempotents acting as local identities

Published on 12 Apr 2026 - 23:28

score 464 · Answer 7 · 2026-04-10 16:54:36

464

Views

Counterexamples for lcm-gcd identity and modular law for rings

Published on 10 Apr 2026 - 16:54

score 453 · Answer 8 · 2026-04-12 17:28:52

453

Views

A question about a ring in the form of a direct product.

Published on 12 Apr 2026 - 17:28

score 40 · Answer 9 · 2026-04-14 11:22:03

40

Views

Constructing an Algebraically Closed Space

Published on 14 Apr 2026 - 11:22

score 81 · Answer 10 · 2026-04-14 03:39:13

81

Views

If an integral domain $R$ has a factorization basis, is it a UFD?

Published on 14 Apr 2026 - 3:39

score 15.8k · Answer 11 · 2026-04-15 13:49:00

15.8k

Views

The nil-radical is an intersection of all prime ideals proof

Published on 15 Apr 2026 - 13:49

score 2.2k · Answer 12 · 2026-04-16 08:28:17

2.2k

Views

Suppose that $R$ is a commutative ring and $|R|=30$. If $I$ is an ideal of $R$ and $|I|=10$, prove that $I$ is maximal ideal

Published on 16 Apr 2026 - 8:28

score 2.3k · Answer 13 · 2026-04-15 13:16:41

2.3k

Views

Show that $A = \{(3x,y)~|~ x,y \in Z\}$ is a maximal ideal of $Z \oplus Z$. My Attempt Shown

Published on 15 Apr 2026 - 13:16

score 286 · Answer 14 · 2026-04-13 12:29:41

286

Views

Help with a problem about Artinian rings from Christian Peskine's book

Published on 13 Apr 2026 - 12:29

score 963 · Answer 15 · 2026-04-17 14:19:01

963

Views

Jacobson radical in $A[x]$ where $A$ is a ring.

Published on 17 Apr 2026 - 14:19

List Question

A question about the proof of Hilbert's Basis Theorem

Suppose that $F$ is a field of characteristic $\neq 2$ and non zero elements of $F$ form a cyclic group under multiplication. Prove that $F$ is finite

For which $n,k > 1$ does $n\mathbb{Z}_k$ have a multiplicative identity?

In an infinite cyclic field of non zero units, characteristic $\neq 2$, can an element $-u \neq u$ be expressed as $u^t$ for some finite integer $t$?

Quotient ring isomorphism

idempotents acting as local identities

Counterexamples for lcm-gcd identity and modular law for rings

A question about a ring in the form of a direct product.

Constructing an Algebraically Closed Space

If an integral domain $R$ has a factorization basis, is it a UFD?

The nil-radical is an intersection of all prime ideals proof

Suppose that $R$ is a commutative ring and $|R|=30$. If $I$ is an ideal of $R$ and $|I|=10$, prove that $I$ is maximal ideal

Show that $A = \{(3x,y)~|~ x,y \in Z\}$ is a maximal ideal of $Z \oplus Z$. My Attempt Shown

Help with a problem about Artinian rings from Christian Peskine's book

Jacobson radical in $A[x]$ where $A$ is a ring.

Trending Questions

Popular # Hahtags

Popular Questions