User Levent

27 votes

Accepted

Does there exist a set containing infinite elements, whose elements themselves are sets containing infinite elements?

answered Mar 18, 2018 at 22:21

20 votes

Accepted

does a number that contains all primes less than it exist?

answered Jun 23, 2019 at 19:48

16 votes

Accepted

Is it true for $n > 2$ then there always exists a prime $\le n$ that does not divide $n$?

answered Apr 22, 2016 at 20:34

13 votes

Deep theorem with trivial proof

answered Dec 6, 2016 at 19:35

9 votes

Accepted

Is an SL-invariant rational function necessarily a quotient of two SL-invariant polynomials?

answered Sep 7, 2020 at 20:14

8 votes

Accepted

Condition on two irrational numbers

answered Dec 18, 2016 at 15:31

8 votes

Accepted

How is the logarithm of an integer analogous to the degree of a polynomial?

answered Jun 4, 2023 at 17:08

7 votes

Accepted

Roots of $x^4+x^3+x^2+x+1$ over $\mathbb{Z}_3[x]/(x^3-x+1)$.

answered Apr 21, 2023 at 10:06

7 votes

Accepted

Subgroup of Order $n^2-1$ in Symmetric Group $S_n$ when $n=5, 11, 71$

answered Jul 10, 2016 at 13:01

6 votes

Accepted

Permutation groups generated by transpositions

answered Mar 8, 2018 at 12:21

6 votes

Accepted

Is this definition of the Adjoint representation at group level only true for matrix lie algebras

answered Nov 10, 2021 at 13:29

6 votes

What are the arguments of the mathematicians who objected against the ontological proof Gödel offered?

answered Jan 11, 2019 at 13:15

5 votes

Accepted

Inverse of $1+\theta$?

answered Jan 24, 2018 at 22:24

5 votes

Accepted

How many natural numbers $x\leqslant 21 !$ there are such that $\gcd(x,20!)=1$

answered Jul 7, 2016 at 10:48

5 votes

Accepted

Prove that the quotient ring $R/(f)$ has four elements

answered Jan 21, 2016 at 21:48

5 votes

Accepted

When a group generated by a normal subgroup and a centralizing element is normal?

answered Dec 25, 2016 at 12:37

5 votes

Accepted

Isomorphism of Polynomial Rings

answered Dec 3, 2017 at 21:14

4 votes

divisibility by (n-1) in base n

answered Nov 23, 2017 at 16:59

4 votes

Nilpotent operators.

answered Jul 5, 2016 at 15:29

4 votes

Accepted

If $1,a_1,a_2,...,a_{n-1}$ are the $n$ roots of $1$,then $(1-a_1)(1-a_2)...(1-a_{n-1}) \space ?$

answered Mar 7, 2018 at 13:55

4 votes

Accepted

Fundamental group of the dunce hat

answered Jan 24, 2018 at 21:46

4 votes

Need to understand proof - there are at most finitely many simple groups with a proper subgroup of index less-than-or-equal to integer n.

answered Dec 4, 2017 at 23:58

4 votes

A Problem On Finite Group

answered Dec 6, 2017 at 15:49

4 votes

If $a$ is an element of some ring and $\{a^n; n=0,1,\dots\}$ is finite, then $a$ is invertible or a zero divisor

answered Nov 21, 2018 at 9:17

4 votes

Accepted

For two invariant complements in the space of representation $T$. Prove that $T_{W_1}$ isomorphic to$ T_{W_2}$

answered Jan 23, 2019 at 9:27

4 votes

Determine how many subgroup of $G$ if the cardinality given

answered Mar 21, 2018 at 8:13

4 votes

Accepted

Is $\mathbb{C}[q,q^{-1}]/(q-1)\mathbb{C}[q,q^{-1}] = \mathbb{C}$?

answered Mar 9, 2018 at 21:38

4 votes

Is it true about center?

answered Mar 14, 2018 at 14:05

4 votes

Prove "If x and y are irrational numbers, then 3x+4xy+2y is irrational"

answered Sep 7, 2020 at 19:04

3 votes

Accepted

$\mathbb{R}$ is not isomorphic to a proper subfield of itself

answered Aug 2, 2020 at 10:01

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156 Answers

Does there exist a set containing infinite elements, whose elements themselves are sets containing infinite elements?

does a number that contains all primes less than it exist?

Is it true for $n > 2$ then there always exists a prime $\le n$ that does not divide $n$?

Deep theorem with trivial proof

Is an SL-invariant rational function necessarily a quotient of two SL-invariant polynomials?

Condition on two irrational numbers

How is the logarithm of an integer analogous to the degree of a polynomial?

Roots of $x^4+x^3+x^2+x+1$ over $\mathbb{Z}_3[x]/(x^3-x+1)$.

Subgroup of Order $n^2-1$ in Symmetric Group $S_n$ when $n=5, 11, 71$

Permutation groups generated by transpositions

Is this definition of the Adjoint representation at group level only true for matrix lie algebras

What are the arguments of the mathematicians who objected against the ontological proof Gödel offered?

Inverse of $1+\theta$?

How many natural numbers $x\leqslant 21 !$ there are such that $\gcd(x,20!)=1$

Prove that the quotient ring $R/(f)$ has four elements

When a group generated by a normal subgroup and a centralizing element is normal?

Isomorphism of Polynomial Rings

divisibility by (n-1) in base n

Nilpotent operators.

If $1,a_1,a_2,...,a_{n-1}$ are the $n$ roots of $1$,then $(1-a_1)(1-a_2)...(1-a_{n-1}) \space ?$

Fundamental group of the dunce hat

Need to understand proof - there are at most finitely many simple groups with a proper subgroup of index less-than-or-equal to integer n.

A Problem On Finite Group

If $a$ is an element of some ring and $\{a^n; n=0,1,\dots\}$ is finite, then $a$ is invertible or a zero divisor

For two invariant complements in the space of representation $T$. Prove that $T_{W_1}$ isomorphic to$ T_{W_2}$

Determine how many subgroup of $G$ if the cardinality given

Is $\mathbb{C}[q,q^{-1}]/(q-1)\mathbb{C}[q,q^{-1}] = \mathbb{C}$?

Is it true about center?

Prove "If x and y are irrational numbers, then 3x+4xy+2y is irrational"

$\mathbb{R}$ is not isomorphic to a proper subfield of itself