Question

Sum of Annihilators

score 493 · Answer 1 · 2026-03-25 18:45:48

493

Views

Sum of Annihilators

Published on 25 Mar 2026 - 18:45

score 183 · Answer 2 · 2026-03-25 18:51:10

183

Views

Annihilator of a Ring with Module Structure Induced by a Homomorphism

Published on 25 Mar 2026 - 18:51

score 842 · Answer 3 · 2026-03-22 19:34:34

842

Views

Showing commutative semisimple ring with unity is direct sum of fields

Published on 22 Mar 2026 - 19:34

score 38 · Answer 4 · 2026-03-25 17:53:55

38

Views

Closure of a characteristic in an integral domain

Published on 25 Mar 2026 - 17:53

score 82 · Answer 5 · 2026-03-25 12:54:24

82

Views

Is the set of odd primes a maximal "Anti-ideal"?

Published on 25 Mar 2026 - 12:54

score 1k · Answer 6 · 2026-03-25 15:41:20

1k

Views

If $ U$ is maximal among non-principal ideals show that $U$ is prime. (Hints?)

Published on 25 Mar 2026 - 15:41

score 584 · Answer 7 · 2026-03-25 16:01:55

584

Views

Localization $R_S$ of a commutative ring $S$ can be zero even if $0\notin S$?

Published on 25 Mar 2026 - 16:01

score 183 · Answer 8 · 2018-03-03 12:20:37

183

Views

1-1 correspondence between homomorphisms and the range of the homomorphisms

Published on 03 Mar 2018 - 12:20

score 50 · Answer 9 · 2026-03-25 18:49:48

50

Views

Does the same construction that yields $K$-vector spaces when $K$ is a field yield free $K$-modules when $K$ is a ring?

Published on 25 Mar 2026 - 18:49

score 146 · Answer 10 · 2026-03-22 20:36:50

146

Views

Isomorphism of rings between 2 non fields

Published on 22 Mar 2026 - 20:36

score 629 · Answer 11 · 2026-03-25 15:12:11

629

Views

In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements?

Published on 25 Mar 2026 - 15:12

score 1.9k · Answer 12 · 2026-03-25 15:17:48

1.9k

Views

Proving that $R$ is a field $\iff (x)$ is a maximal ideal in $R[x]$

Published on 25 Mar 2026 - 15:17

score 121 · Answer 13 · 2026-03-25 03:04:01

121

Views

Are these two rings isomorphic? And can I use the chinese remainder theorem to prove it?

Published on 25 Mar 2026 - 3:04

score 84 · Answer 14 · 2018-03-04 00:17:29

84

Views

$K[α]$ is isomorphic to a field extension of $K[T]$

Published on 04 Mar 2018 - 0:17

score 181 · Answer 15 · 2026-03-25 15:17:48

181

Views

Proving that $x\notin\mathbb{m}\implies$ $x$ is a unit, where $\mathbb{m}$ is a unique maximal ideal of $R$

Published on 25 Mar 2026 - 15:17

List Question

Sum of Annihilators

Annihilator of a Ring with Module Structure Induced by a Homomorphism

Showing commutative semisimple ring with unity is direct sum of fields

Closure of a characteristic in an integral domain

Is the set of odd primes a maximal "Anti-ideal"?

If $ U$ is maximal among non-principal ideals show that $U$ is prime. (Hints?)

Localization $R_S$ of a commutative ring $S$ can be zero even if $0\notin S$?

1-1 correspondence between homomorphisms and the range of the homomorphisms

Does the same construction that yields $K$-vector spaces when $K$ is a field yield free $K$-modules when $K$ is a ring?

Isomorphism of rings between 2 non fields

In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements?

Proving that $R$ is a field $\iff (x)$ is a maximal ideal in $R[x]$

Are these two rings isomorphic? And can I use the chinese remainder theorem to prove it?

$K[α]$ is isomorphic to a field extension of $K[T]$

Proving that $x\notin\mathbb{m}\implies$ $x$ is a unit, where $\mathbb{m}$ is a unique maximal ideal of $R$

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