Question

If $N$ is a $R$-submodule of $M$, then $\operatorname{End_{R}}(N)$ is subring of $\operatorname{End}_{R}(M)$?

score 74 · Answer 1 · 2026-04-15 23:22:30

74

Views

If $N$ is a $R$-submodule of $M$, then $\operatorname{End_{R}}(N)$ is subring of $\operatorname{End}_{R}(M)$?

Published on 15 Apr 2026 - 23:22

score 299 · Answer 2 · 2026-04-13 13:37:52

299

Views

Complex numbers is an algebraic extension of Reals so what real Polynomial has root x+iy

Published on 13 Apr 2026 - 13:37

score 139 · Answer 3 · 2026-04-15 05:22:49

139

Views

Compute the radical of $\langle z-3x, z-\frac{3}{2}y\rangle$ in $\mathbb{C}[x,y,z]$

Published on 15 Apr 2026 - 5:22

score 36 · Answer 4 · 2026-04-17 05:43:48

36

Views

Suppose that there exists $q \in Q_{ml}(R)$ such that $ D(x) = x^{\sigma}q - qx^{*}$ for all $x \in R$. Then $q \in Q_{ms}(R)$.

Published on 17 Apr 2026 - 5:43

score 151 · Answer 5 · 2026-03-26 14:42:56

151

Views

Is $(\mathbb{Z}/5\mathbb{Z} \times \mathbb{Z}/3 \mathbb{Z})/\left<([0]_5,[2]_3)\right> \cong \mathbb{Z}/2\mathbb{Z} $?

Published on 26 Mar 2026 - 14:42

score 523 · Answer 6 · 2026-04-09 05:12:44

523

Views

Is there a unique homomorphism from a ring to its field of fractions?

Published on 09 Apr 2026 - 5:12

score 72 · Answer 7 · 2026-04-15 02:46:08

Isomorphic ring with the $R / I $ for $R =\{ a+b \sqrt2 \vert a \in \mathbb{Z}, b \in \mathbb{Z}\} $ and $I= \langle 4+\sqrt2 \rangle$

score 94 · Answer 8 · 2026-04-14 23:57:56

94

Views

How to show that a polynomial is not in a subring of $k[t]$

Published on 14 Apr 2026 - 23:57

score 334 · Answer 9 · 2026-04-14 16:34:19

Let $R$ be the set of all functions from $\mathbb{R}$ to $\mathbb{R}$. Is $R$ a ring? If so, is it commutative, and does it have an identity?

score 78 · Answer 10 · 2026-03-25 15:59:05

78

Views

How are the following two rings isomorphic?

Published on 25 Mar 2026 - 15:59

score 71 · Answer 11 · 2026-04-16 02:44:54

71

Views

Prove that $R$ has $2^{k}$ elements

Published on 16 Apr 2026 - 2:44

score 51 · Answer 12 · 2026-04-13 08:18:30

51

Views

Is there a name for ring elements that multiply to zero?

Published on 13 Apr 2026 - 8:18

score 78 · Answer 13 · 2026-04-11 19:02:37

78

Views

Is it true that $\langle [x]\rangle +\langle [y]\rangle =\mathbb Z_n?$

Published on 11 Apr 2026 - 19:02

score 128 · Answer 14 · 2026-04-09 10:14:25

128

Views

When is the natural inclusion of an integral domain into its field of fractions unique?

Published on 09 Apr 2026 - 10:14

score 649 · Answer 15 · 2026-04-16 17:57:56

649

Views

$(1-x,y)$ is not principal in $\Bbb Q[x,y]/(x^2＋y^2-1)$

Published on 16 Apr 2026 - 17:57

List Question

If $N$ is a $R$-submodule of $M$, then $\operatorname{End_{R}}(N)$ is subring of $\operatorname{End}_{R}(M)$?

Complex numbers is an algebraic extension of Reals so what real Polynomial has root x+iy

Compute the radical of $\langle z-3x, z-\frac{3}{2}y\rangle$ in $\mathbb{C}[x,y,z]$

Suppose that there exists $q \in Q_{ml}(R)$ such that $ D(x) = x^{\sigma}q - qx^{*}$ for all $x \in R$. Then $q \in Q_{ms}(R)$.

Is $(\mathbb{Z}/5\mathbb{Z} \times \mathbb{Z}/3 \mathbb{Z})/\left<([0]_5,[2]_3)\right> \cong \mathbb{Z}/2\mathbb{Z} $?

Is there a unique homomorphism from a ring to its field of fractions?

Isomorphic ring with the $R / I $ for $R =\{ a+b \sqrt2 \vert a \in \mathbb{Z}, b \in \mathbb{Z}\} $ and $I= \langle 4+\sqrt2 \rangle$

How to show that a polynomial is not in a subring of $k[t]$

Let $R$ be the set of all functions from $\mathbb{R}$ to $\mathbb{R}$. Is $R$ a ring? If so, is it commutative, and does it have an identity?

How are the following two rings isomorphic?

Prove that $R$ has $2^{k}$ elements

Is there a name for ring elements that multiply to zero?

Is it true that $\langle [x]\rangle +\langle [y]\rangle =\mathbb Z_n?$

When is the natural inclusion of an integral domain into its field of fractions unique?

$(1-x,y)$ is not principal in $\Bbb Q[x,y]/(x^2＋y^2-1)$

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