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.

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 ...

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.

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 ...

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 ...

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Both the Oura Ring 4 and the Galaxy Ring are designed to be worn for extended periods of time, so comfort has to be one of the main considerations. The Oura Ring 4 has a comfortable fit ...

From these beginnings, Plato gradually developed distinct philosophical ideas, such as his Theory of Forms, which features in middle dialogues such as the Phaedo, Symposium, and Republic.