Zero-divisor graphs provide a graphical framework to capture interactions among zero-divisors in a commutative ring. Given a commutative ring R with identity, one constructs a simple graph whose ...

String theory and number theory have common ground in a specific kind of elliptic curve, called a torus. Toruses aren't just for compressing atoms: these curves represent torus cross-sections. The ...

A century ago, the strange behavior of atoms and elementary particles led physicists to formulate a new theory of nature. That theory, quantum mechanics, found immediate success, proving its worth ...