Question

let $R$ be a ring with identity 1 and $\psi$ a non-trivial homomorphism of $R$ in an integer domain $D$. Show that $\psi(1)$ is the identity of $D$

score 17 · Answer 1 · 2026-03-14 10:13:49

let $R$ be a ring with identity 1 and $\psi$ a non-trivial homomorphism of $R$ in an integer domain $D$. Show that $\psi(1)$ is the identity of $D$

score 82 · Answer 2 · 2026-03-26 12:36:57

82

Views

Let $\psi:\mathbb Z[x] \rightarrow \mathbb R$ be the homomorphism defined by $\psi(p(x))=p(\sqrt3)$.

Published on 26 Mar 2026 - 12:36

score 102 · Answer 3 · 2026-04-07 23:01:39

102

Views

About ideals contained in the union of prime ideals

Published on 07 Apr 2026 - 23:01

score 79 · Answer 4 · 2026-04-02 03:47:39

79

Views

Intersection of $C^*$-algebras under addition

Published on 02 Apr 2026 - 3:47

score 74 · Answer 5 · 2023-05-06 16:36:16

74

Views

The complement of a filter is an ideal

Published on 06 May 2023 - 16:36

score 93 · Answer 6 · 2026-04-02 23:58:12

93

Views

Primitive and modular ideals of $C^{\ast}$-algebras

Published on 02 Apr 2026 - 23:58

score 68 · Answer 7 · 2026-04-07 18:18:16

68

Views

Can we determine maximal ideals of $\mathbb{Z}[x, y]$ by using $\mathbb{Z}[x] \subset \mathbb{Z}[x, y]$?

Published on 07 Apr 2026 - 18:18

score 128 · Answer 8 · 2026-03-25 04:41:19

128

Views

Find a non-trivial element in the class group of $\mathbb{Q}( \sqrt{−5})$.

Published on 25 Mar 2026 - 4:41

score 136 · Answer 9 · 2026-03-26 09:17:42

136

Views

Irreducible components, dimension and degree of projective varieties

Published on 26 Mar 2026 - 9:17

score 27 · Answer 10 · 2026-03-25 16:01:48

27

Views

Preimage of a maximal ideal is maximal in free ring extensions

Published on 25 Mar 2026 - 16:01

score 52 · Answer 11 · 2023-05-11 09:44:23

52

Views

Show that $(x^3-y^3)$ is a radical ideal of $\mathbb{F}_2[x,y]$.

Published on 11 May 2023 - 9:44

score 57 · Answer 12 · 2023-05-11 11:28:04

57

Views

Show that $I(\overline{Y_1 \setminus Y_2}) = I(Y_1):I(Y_2)$

Published on 11 May 2023 - 11:28

score 38 · Answer 13 · 2026-03-26 21:12:37

38

Views

Under what condition(s) $1) $ is true for a general integral domain $\mathcal{R}$?

Published on 26 Mar 2026 - 21:12

score 31 · Answer 14 · 2026-03-25 22:04:23

31

Views

Clarification on Exponents in Prime Factorization of Ideals in Dedekind Domains and Number Fields

Published on 25 Mar 2026 - 22:04

score 86 · Answer 15 · 2026-03-26 09:19:43

86

Views

Show that $\mathcal{I}(\bigcup_iX_i)=\bigcap_i\mathcal{I}(X_i)$.

Published on 26 Mar 2026 - 9:19

List Question

let $R$ be a ring with identity 1 and $\psi$ a non-trivial homomorphism of $R$ in an integer domain $D$. Show that $\psi(1)$ is the identity of $D$

Let $\psi:\mathbb Z[x] \rightarrow \mathbb R$ be the homomorphism defined by $\psi(p(x))=p(\sqrt3)$.

About ideals contained in the union of prime ideals

Intersection of $C^*$-algebras under addition

The complement of a filter is an ideal

Primitive and modular ideals of $C^{\ast}$-algebras

Can we determine maximal ideals of $\mathbb{Z}[x, y]$ by using $\mathbb{Z}[x] \subset \mathbb{Z}[x, y]$?

Find a non-trivial element in the class group of $\mathbb{Q}( \sqrt{−5})$.

Irreducible components, dimension and degree of projective varieties

Preimage of a maximal ideal is maximal in free ring extensions

Show that $(x^3-y^3)$ is a radical ideal of $\mathbb{F}_2[x,y]$.

Show that $I(\overline{Y_1 \setminus Y_2}) = I(Y_1):I(Y_2)$

Under what condition(s) $1) $ is true for a general integral domain $\mathcal{R}$?

Clarification on Exponents in Prime Factorization of Ideals in Dedekind Domains and Number Fields

Show that $\mathcal{I}(\bigcup_iX_i)=\bigcap_i\mathcal{I}(X_i)$.

Trending Questions

Popular # Hahtags

Popular Questions