New posts in Noncommutative Algebra

Is every finite dimensional semisimple algebra over $k$ isomorphic to a direct sum of finitely many matrix algebras over $k$?

Universal skew field of fractions

Non-commutative ring Local Ring

Lifting idempotents modulo a nilpotent ideal

An isomorphism concerned about any finitely generated projective module

Identity of a ring as two different sums of idempotents

1-dim representations of the affine Hecke algebra for $G = \text{SL}_2$

Is it true that a flat module is torsion-free over an arbitrary ring? Does the reverse implication hold for finitely generated modules?

Books on Rings without Identity

Is the center of the universal enveloping algebra generated by the center of the lie algebra?