In the above example of the complex numbers viewed as a two-dimensional algebra over the real numbers, the one-dimensional real line is a subalgebra. This definition is different from the definition ...

In mathematics, an algebra over a field is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure consisting of a set together with operations of multiplication ...

An expression like “reproductive rights” has the same harmless ring as Germany’s “Charitable ... children sustained not by theory but by love — our love — love that involves action ...

But that hasn’t stopped us from being fascinated by intelligence tests that attempt to assign a numerical value to how smart ...

My major research interest has always been abstract algebra, which includes group theory, ring theory, Lie algebras, and nonassociative algebras.

A ring could explain a mysterious arrangement of impact craters near the equator and might even have caused an ice age, ...

Researchers believe a ring system around Earth could have contributed to the global cooling event known as the Hirnantian ...

The new study asserts that Earth's ring formed around 466 million years ago, and stuck around for around 40 million years ...

Did Earth once look a lot more like Saturn? Scientists believe the answer is yes! In a groundbreaking study, researchers in ...

The ring would have gradually fallen to Earth as meteorites, correlating to a spike of impacts seen in the geological record.

More evidence is needed to support the hypothesis, but the ancient ring theory could explain many aspects of Earth's history, especially if rings appeared more than once above our planet before ...

The ring theory could also explain a few other mysteries of the time too. Meteorite debris in those craters shows signs of not having spent much time in space before crashing to Earth, which is ...