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

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

Several fields of mathematics have developed in total isolation, using their own "undecipherable" coded languages. In a new ...

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 ...

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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 ...

Samsung enters the smart ring arena with its first finger-based wearable, and it lands with some great features. It's lightweight and comfortable, and offers unique integration with other Samsung ...

Apple's latest research into an Apple Ring doesn't just suggest what it looks like, but also positions it at the center of iPhone and Mac control, and as a remote to household appliances.

Ring has refreshed its entry-level battery-powered doorbell camera, bringing a new head-to-toe view to better capture footage of packages on your porch. According to the company, the Ring Battery ...

In abstract algebra, a branch of mathematics, a simple ring is a non-zero ring that has no two-sided ideal besides the zero ideal and itself. In particular, a commutative ring is a simple ring if and ...

The new Ring Battery Doorbell offers a compelling option for those seeking an affordable yet capable doorbell camera. Succeeding the popular Ring Video Doorbell (2nd Gen), which hit shelves back ...

AFP via Getty Images While the designs are clearly different upon inspection, a quick look back at Harris’ outfits also makes this theory fall apart. The presidential candidate has worn the same ...