Special number sequences—such as Fibonacci, Lucas, Horadam and Jacobsthal families—exhibit rich algebraic structures that underpin a broad spectrum of mathematical theory and application. At their ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

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 ...