Let D be a global domain whose quotient field F does not have characteristic 2, let U be a quaternion algebra over F, and let D be an order on U over D. A right D-module M which is simultaneously a ...

This is a preview. Log in through your library . Abstract Let K be a totally real number field and let B be a totally definite quaternion algebra over K. Given a set of representatives for ideal ...

Two apparently disjoint subjects discussed in the same issue – quantum uncertainty and the Riemann hypothesis – have a surprising and important mathematical connection. Louis de Branges’s purported ...

As in recent numbers of NATURE my views on analysis have been quoted, and not very correctly, I ask for space to state them more explicitly. I see truth in the quaternion analysis and in the vector ...

MATHS WEEK:THE 19TH century was a golden age for the advance of mathematical research. But it would take many years to demonstrate the value of what was discovered, a leading mathematician will argue ...

SMALL PRINT:DANIEL O'CONNELL may have been known as The Liberator, but another important figure in 19th-century Ireland earned a similar title – mathematician William Rowan Hamilton (right) is ...