Question

Can $Z(R_R)$ contain a direct summand of $R$?

score 35 · Answer 1 · 2026-04-11 23:26:24

35

Views

Can $Z(R_R)$ contain a direct summand of $R$?

Published on 11 Apr 2026 - 23:26

score 785 · Answer 2 · 2026-04-15 23:21:21

785

Views

If in a ring $R$, $x^2=x$ for all $x$ then show that $2x=0$ and $x+y=0$ implies that $x=y$

Published on 15 Apr 2026 - 23:21

score 54 · Answer 3 · 2026-04-10 01:06:35

54

Views

Ring with both laws of composition equal

Published on 10 Apr 2026 - 1:06

score 79 · Answer 4 · 2026-04-10 00:02:19

79

Views

Is $(\mathbb{Z}/p^n\mathbb{Z})/(p\mathbb{Z}/p^n\mathbb{Z})$ isomorphic to $\mathbb{Z}/p\mathbb{Z}$?

Published on 10 Apr 2026 - 0:02

score 48 · Answer 5 · 2026-04-15 19:18:58

48

Views

Rings whose every $R$-module $M$ has $\text{End}_R(M)\cong R$ or $\text{End}_R(M)=R$?

Published on 15 Apr 2026 - 19:18

score 43 · Answer 6 · 2026-04-13 21:28:39

43

Views

Intersection of prime ideals of ring of ALL algebraic integers lying over a particular prime

Published on 13 Apr 2026 - 21:28

score 162 · Answer 7 · 2026-05-06 07:56:56

162

Views

Duality for zero-dimensional local Gorenstein algebras

Published on 06 May 2026 - 7:56

score 618 · Answer 8 · 2026-04-15 04:17:14

618

Views

If $f, g \in \mathbb{Q}[x]$ with $fg \in \mathbb{Z}[x]$, then the product of any two coefficients is in $\mathbb{Z}$

Published on 15 Apr 2026 - 4:17

score 35 · Answer 9 · 2026-04-11 08:58:22

35

Views

The ring of continuous functions on a non compact open set

Published on 11 Apr 2026 - 8:58

score 251 · Answer 10 · 2026-03-25 17:43:48

251

Views

Homomorphism from a ring with unity to a integral domain maps unity to unity?

Published on 25 Mar 2026 - 17:43

score 144 · Answer 11 · 2026-04-13 16:56:36

144

Views

Inverse of a complex number (in Hamilton's pair representation)

Published on 13 Apr 2026 - 16:56

score 81 · Answer 12 · 2026-04-14 00:54:27

81

Views

Matrix over commutative ring with noncommutative diagonal perturbation

Published on 14 Apr 2026 - 0:54

score 209 · Answer 13 · 2026-05-10 16:57:02

209

Views

Element of a ring acting as a permutation on an ideal

Published on 10 May 2026 - 16:57

score 289 · Answer 14 · 2026-05-10 14:59:54

289

Views

Square root of $-1$ in the ring $\mathbb{R}[x]/\langle(x^2+1)^2\rangle$

Published on 10 May 2026 - 14:59

score 458 · Answer 15 · 2026-03-27 18:48:41

458

Views

Do prime ideals stay prime under localization?

Published on 27 Mar 2026 - 18:48

List Question

Can $Z(R_R)$ contain a direct summand of $R$?

If in a ring $R$, $x^2=x$ for all $x$ then show that $2x=0$ and $x+y=0$ implies that $x=y$

Ring with both laws of composition equal

Is $(\mathbb{Z}/p^n\mathbb{Z})/(p\mathbb{Z}/p^n\mathbb{Z})$ isomorphic to $\mathbb{Z}/p\mathbb{Z}$?

Rings whose every $R$-module $M$ has $\text{End}_R(M)\cong R$ or $\text{End}_R(M)=R$?

Intersection of prime ideals of ring of ALL algebraic integers lying over a particular prime

Duality for zero-dimensional local Gorenstein algebras

If $f, g \in \mathbb{Q}[x]$ with $fg \in \mathbb{Z}[x]$, then the product of any two coefficients is in $\mathbb{Z}$

The ring of continuous functions on a non compact open set

Homomorphism from a ring with unity to a integral domain maps unity to unity?

Inverse of a complex number (in Hamilton's pair representation)

Matrix over commutative ring with noncommutative diagonal perturbation

Element of a ring acting as a permutation on an ideal

Square root of $-1$ in the ring $\mathbb{R}[x]/\langle(x^2+1)^2\rangle$

Do prime ideals stay prime under localization?

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