New post in Abstract-algebra

Why are the nonzero integers under multiplication NOT a group?

November 8th, 2022

Show that $\Bbb R[x]/\langle x^{2}+1\rangle$ is a field.

August 18th, 2022

July 23rd, 2022

If a cyclic group G has exactly three subgroups then find order of G.

August 18th, 2022

July 23rd, 2022

Giving examples of some group $G$ and elements $g,h \in G$ where $(gh)^{n}\neq g^{n} h^{n}$.

December 7th, 2022

July 23rd, 2022

July 23rd, 2022

Is the set of all 2x2 matrices a ring with zero divisors?

August 15th, 2022

Example of an ideal which is not principal in the ring $\mathbb{Z} [x]$

August 15th, 2022

# of invertible $n \times n$ matrices with entries in field $k$ with $q$ elements?

August 14th, 2022

Number of subfields of a given field

August 14th, 2022

the $\sigma$ algeba generated by the class of open intervals with rational end points coincide with the borel $\sigma$ algebra on the real line.

September 29th, 2022

Cyclic group of order 8

September 8th, 2022

July 30th, 2022

August 9th, 2022

July 21st, 2022

July 29th, 2022

May 2nd, 2020

August 1st, 2022

prove that (Ha)(Hb)=Hab iff H is normal

December 22nd, 2020

What is an example of a subgroup $H\le S_3$ that is not normal?

August 13th, 2022

August 1st, 2022

August 1st, 2022

August 1st, 2022

Give an example of a nonabelian group such that G/Z(G) is...

November 17th, 2020

August 1st, 2022

April 9th, 2020

Prove if any group has order 9, then it is abelian.

September 20th, 2020

Multiplication in field Z5

January 18th, 2020