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moonlight
  • Member for 6 years, 11 months
  • Last seen more than 1 year ago
7 votes
Accepted

About $R/I$ Where $I$ is a Prime Ideal

7 votes
Accepted

Ring of infinite global dimension which does not have a finitely generated module of infinite projective dimension

6 votes

What are the roots of the polynomial $x^{3}+3x-2\pi$ $?$

6 votes

Isomorphic quotient groups $\frac{G}{H} \cong \frac{G}{K}$ imply $H \cong K$?

5 votes

Is inversion ever a field automorphism?

5 votes
Accepted

(Yet another..) Sum vs Product.

5 votes
Accepted

Example of non-Krull integrally closed BFD?

5 votes
Accepted

Computing $\operatorname{Tor}_1^R(R/I,R/J)$

4 votes
Accepted

An infinite group with no infinite sub groups

4 votes

Does any module with finite number of elements have a simple submodule?

3 votes
Accepted

Field characteristic for a finite product of fields of characteristic $0$

3 votes
Accepted

Ore extensions of noetherian $k$-algebras are again noetherian (proof explanation)

3 votes
Accepted

Why $Aut(\mathbb Z_3^2)\cong GL_2(\mathbb Z^2)$ and what should be the general result on it?

3 votes

Any relation between degree of intermediate field and order of corresponding subgroup?

3 votes
Accepted

Relation between general linear groups for subfield $K$ of $F$ of finite index.

3 votes

Order of a generator element of Free Group in GAP

3 votes
Accepted

Center of noetherian rings

3 votes

Find the subgroup of $GL(2,\mathbb{C})$ generated by two matrices $A$ and $B$.

3 votes
Accepted

Set invariant under reflections is a ball?

3 votes
Accepted

How to create a ring in MAGMA with relations?

2 votes
Accepted

Absolute value in Hasse's theorem

2 votes
Accepted

Linear endomorphisms of $k(t)$

2 votes

For an exact sequence $0\to M_1\overset{f_1}\to\cdots\overset{f_r}\to M_r\to0$ is it true that $l(M_i)-l(M_{i+1})=l(\ker(f_i))-l(\ker(f_{i+1}))$?

2 votes

Any two $A$-modules of the same dimension over $k$ isomorphic as $A$-modules?

2 votes

How to show that two left ideals over $R$ are not isomorphic $R$-modules?

2 votes

The meaning of "subdirect sum"?

2 votes

Does a simple $k$-algebra has finite dimension?

2 votes
Accepted

Show that a finite dimensional algebra D with identity over a skewfield F is a semifield if and only if it has no zero divisors.

2 votes

Geometric meaning of a vector space

2 votes

Does a $\mathbb{C}[G]$-module V imply a G-module?