Math is full of tricky ideas, and one of them is how flatness and primes work together. Usually, this is studied in commutative Noetherian rings, where things behave nicely. But what happens when we step outside this comfort zone? That's where strong Krull primes come into play. Strong Krull primes
Larry Summers, a prominent figure at Harvard University, is facing intense criticism due to his long-standing relationship with convicted sex offender Jeffrey Epstein. The release of emails between the two has sparked outrage among students and faculty, raising questions about Summers' judgment and
A futuristic aircraft, the X-65, is set to take to the skies in late 2027, pushing back its initial flight date by over two years. This experimental plane, crafted by Aurora Flight Sciences, a Boeing subsidiary, is part of a Defense Advanced Research Projects Agency (DARPA) initiative. Its unique fe
The United States is exploring ways to push Nigeria into taking stronger steps to protect its Christian communities. This includes potential sanctions and increased military cooperation. A top U. S. official recently shared this plan with lawmakers, highlighting concerns over religious freedom in Ni
Donovan Mitchell, the star player for the Cleveland Cavaliers, has been open about the team's past struggles in the playoffs. He describes these challenges as a wall that they've hit three times in a row. Mitchell has been thinking a lot about this wall, imagining ways to break through it every day.
The U. S. has taken a bold step by labeling a group linked to Venezuela's president as a terrorist organization. This move opens up new possibilities for the Pentagon, according to Defense Secretary Pete Hegseth. The group in question, Cartel de los Soles, is accused of working with another gang, Tr
In the world of cryptocurrency, partnerships can turn sour quickly. Core Foundation and Maple Finance, once collaborators, are now locked in a legal battle. Core accuses Maple of breaking their agreement and misusing confidential information to launch a competing product, syrupBTC. This feud started
A new drug called Amvuttra is making waves in the UK. It's designed to help people with a rare heart condition called ATTR-CM. This condition happens when faulty proteins build up in the heart, which can make it hard for the heart to work properly. The drug is already approved for this use, as well
Retail stocks are not all performing equally in the current economy. Some are doing well, while others are struggling. Walmart is one of the winners. It beat expectations and raised its forecast. This shows it is attracting shoppers from different income levels. Home Depot and Lowe's had mixed resu
The Navy has made a decision. Their new drone squadron won't harm the environment. This is big news. The drones, called MQ-25A Stingrays, will be based at Naval Station Norfolk. They will help fighter jets by refueling them in the air. The drones can also keep an eye on things. This is the first tim
