New posts in Noncommutative Algebra

Example of the non-commutative ring with the set of units are commutative

Example of an algebra which is not isomorphic to its opposite

Let $x^2=y^2=1$ and $xy\neq yx$. There are $\binom{2n}{n}$ expressions of length $2n$ in $x$ and $y$ that are equal to $1$.

Why is the constant term of $(1+x+y+xy)^n$ equal to $\frac{1}{2}\binom{2n}{n}$？

Why should a non-commutative operation even be called "multiplication"?

Is the $\mathbb{Z}$-grading of a Clifford algebra basis independent?

$x^n = x$ implies commutativity, a universal algebraic proof?

Finite dimensional central division $\mathbb K$-algebra as a subalgebra of a matrix $\mathbb K$-algebra

An example of a non-commutative ring with multiplicative identity 1 in which the only (two sided) ideals are 0 and the whole ring

Endomorphism Rings of finite length Modules are semiprimary