Newbetuts
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New posts in noncommutative-algebra
Matrices $B$ that commute with every matrix commuting with $A$
linear-algebra
matrices
noncommutative-algebra
Prime ideals of a finite direct product ring
abstract-algebra
ring-theory
ideals
noncommutative-algebra
simple ring which is not semisimple
linear-algebra
noncommutative-algebra
Finite rings without zero divisors are division rings.
abstract-algebra
ring-theory
noncommutative-algebra
finite-rings
Example of a ring such that $R^2\simeq R^3$, but $R\not\simeq R^2$ (as $R$-modules)
abstract-algebra
ring-theory
modules
noncommutative-algebra
An isomorphism concerned about any finitely generated projective module
abstract-algebra
modules
noncommutative-algebra
projective-module
Ideal in an Artinian Ring $I=aR=Rb$, prove $I=Ra=bR$
abstract-algebra
ring-theory
noncommutative-algebra
Show $R$ is right-Artinian but not left-Artinian
abstract-algebra
ring-theory
noncommutative-algebra
Have I found a counterexample to Noether-Skolem? (No, but I am confused...)
abstract-algebra
ring-theory
noncommutative-algebra
Is the center of the universal enveloping algebra generated by the center of the lie algebra?
lie-groups
lie-algebras
noncommutative-algebra
Associative ring with identity, inverses, divisors of zero and Artinianity
abstract-algebra
ring-theory
noncommutative-algebra
Is this a characterization of commutative $C^{*}$-algebras
operator-theory
operator-algebras
c-star-algebras
noncommutative-algebra
Prove if a non-trivial ring $R$ has a unique maximal left ideal $J$ , then $J$ is two-sided and is also the unique maximal right ideal in $R$.
abstract-algebra
ring-theory
ideals
noncommutative-algebra
The mysterious isomorphism between coinduction and induction
category-theory
modules
representation-theory
noncommutative-algebra
adjoint-functors
Isomorphism of an endomorphism ring, how can $R\cong R^2$?
abstract-algebra
modules
noncommutative-algebra
Semisimplicity is equivalent to each simple left module is projective?
abstract-algebra
ring-theory
noncommutative-algebra
projective-module
What is the point of non-commutative probability?
probability-theory
noncommutative-algebra
Example of unital non-commutative ring with $(ab)^2=(ba)^2$ for all $a,b$
abstract-algebra
ring-theory
noncommutative-algebra
Each automorphism of the matrix algebra is inner.
matrices
noncommutative-algebra
$x^n = x$ implies commutativity, a universal algebraic proof?
abstract-algebra
ring-theory
noncommutative-algebra
universal-algebra
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