Categories
Tags
Abstract-algebra
New post in Abstract-algebra
Why are the nonzero integers under multiplication NOT a group?
November 8th, 2022
abstract-algebra
group-theory
Show that $\Bbb R[x]/\langle x^{2}+1\rangle$ is a field.
August 18th, 2022
ring-theory
abstract-algebra
Let $G$ be a group. Prove that $o(xy) = o(yx)$ for all $x,y \in G$
July 23rd, 2022
abstract-algebra
group-theory
If a cyclic group G has exactly three subgroups then find order of G.
August 18th, 2022
abstract-algebra
cyclic-groups
group-theory
Is Z/p a finite field only when p is prime number?
July 23rd, 2022
number-theory
abstract-algebra
Giving examples of some group $G$ and elements $g,h \in G$ where $(gh)^{n}\neq g^{n} h^{n}$.
December 7th, 2022
abelian-groups
abstract-algebra
group-theory
What are the inverses of $1,3,7,9$ in the group $(G,*_{10})$?
July 23rd, 2022
abstract-algebra
group-theory
If G/N is cyclic, then G is abelian.
July 23rd, 2022
abstract-algebra
cyclic-groups
abelian-groups
group-theory
Is the set of all 2x2 matrices a ring with zero divisors?
August 15th, 2022
abstract-algebra
ring-theory
Example of an ideal which is not principal in the ring $\mathbb{Z} [x]$
August 15th, 2022
ideals
abstract-algebra
# of invertible $n \times n$ matrices with entries in field $k$ with $q$ elements?
August 14th, 2022
matrices
linear-algebra
abstract-algebra
Number of subfields of a given field
August 14th, 2022
finite-fields
abstract-algebra
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
measure-theory
general-topology
abstract-algebra
real-analysis
lebesgue-measure
Cyclic group of order 8
September 8th, 2022
group-theory
cyclic-groups
abstract-algebra
Nonabelian group of six elements
July 30th, 2022
group-theory
abstract-algebra
For an associative binary operation with identity, the set of invertible elements forms a group
August 9th, 2022
binary-operations
abstract-algebra
group-theory
Group Theory Question on the set of real numbers
July 21st, 2022
abstract-algebra
group-theory
Determinant of Gram matrix - without knowing it's a Gram matrix or using anything "fancy"
July 29th, 2022
linear-algebra
abstract-algebra
Prove or disprove that S is a subring of M2(Z).
May 2nd, 2020
matrices
abstract-algebra
Showing a subset of Z15 is a group
August 1st, 2022
abstract-algebra
group-theory
prove that (Ha)(Hb)=Hab iff H is normal
December 22nd, 2020
abstract-algebra
What is an example of a subgroup $H\le S_3$ that is not normal?
August 13th, 2022
examples-counterexamples
abstract-algebra
group-theory
Do all integral domains have unity?
August 1st, 2022
abstract-algebra
Fundamental theorem of Finitely generated abelian groups
August 1st, 2022
abstract-algebra
finite-groups
group-theory
Why is the Converse to Lagrange's Theorem False?
August 1st, 2022
group-theory
abstract-algebra
finite-groups
Give an example of a nonabelian group such that G/Z(G) is...
November 17th, 2020
group-theory
abelian-groups
abstract-algebra
How do I multiply 2 cycles?
August 1st, 2022
abstract-algebra
group-theory
Describe all extensions of the identity map of $\mathbb{Q}$ to an isomorphism mapping $\mathbb{Q}(\sqrt[3]{2},\sqrt{3})$
April 9th, 2020
group-theory
finite-groups
ring-theory
abstract-algebra
Prove if any group has order 9, then it is abelian.
September 20th, 2020
abstract-algebra
group-theory
finite-groups
abelian-groups
Multiplication in field Z5
January 18th, 2020
abstract-algebra
←
1
2
3
4
5
6
7
8
9
…
263
264
→