Group gradings provide a powerful framework for decomposing algebraic structures into subspaces that are systematically indexed by a group. In the context of Lie algebras, which play a central role in ...

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question. Mathematics started with numbers — clear, ...

Let R be an integral domain, K its field of fractions, F a free group. Let I and J be fully invariant (=verbal) ideals of the group algebra KF. We prove that over certain domains the equality IJ ∩ RF ...