Algebraic structures—such as groups, rings, modules, Lie algebras and their generalisations—provide a unifying language for diverse areas of mathematics and theoretical physics. Cohomological methods ...

Algebraic structures constitute a foundational domain of modern mathematics, encompassing systems such as groups, rings, fields, modules and algebras in which one or more operations obey specified ...

Inside the symmetries of a crystal shape, a postdoctoral researcher has unearthed a counterexample to a basic conjecture about multiplicative inverses. “I’m nearly at the end of the talk, and it’s ...

You scrambled up a Rubik’s cube, and now you want to put it back in order. What sequence of moves should you make? Surprise: You can answer this question with modern algebra. You might remember ...