Assuming only basic abstract algebra, it provides a good foundation in commutative ring theory, from which the reader can proceed to more advanced works in commutative algebra and algebraic geometry.

It gives an example of a ring that arises naturally in algebraic geometry but is not Noetherian. Many important theorems in ring theory (especially the theory of commutative rings) rely on the ...

Speaker: John Baez Title: 2-Rigs in topology and representation theory Abstract: A rig is a “ring without negatives ... is a symmetric monoidal category that is enriched over commutative monoids, with ...

A recently shared image of a distant galaxy surrounded by three concentric rings challenges our understanding of galactic ...

New research suggests black holes are unstable, challenging Einstein's theory of general relativity and the Kerr solution.

Gorgeously designed, easy to wear, long-lasting and full of granular health information, the Oura Ring 4 is nearly the perfect fitness tracker. I loved using it, and will continue to do so ...

Back then, those strange invertebrates might have been able to look up through the nighttime shallows and see the glow of Earth’s very own ring, which may have been something like Saturn’s.

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Instead, people are now using it to reset their goals. Dubbed “October Theory,” these people are rethinking their approach to the last three months of the year. They’re using it as a time to ...

Back then, those strange invertebrates might have been able to look up through the nighttime shallows and see the glow of Earth’s very own ring, which may have been something like Saturn’s. Spotting ...

That said, here is every major smart ring brand ranked from worst to best. Circular's vision for its smart rings was to create a simple, wearable device that fits seamlessly into anyone's lifestyle.