Binomial edge ideals constitute a vibrant research area where the methods of commutative algebra intersect with the combinatorial structures inherent in graph theory. By associating to each graph an ...

In this paper an example is given of a pair of commutative noetherian rings $R \subseteq S$ with S a finite R-module and IS ∩ R = I for each ideal I of R, but ...

We prove that for an arbitrary chain {P α} of prime ideals in an integral domain, there exists a valuation domain which has a chain of prime ideals {Qα} lying over {Pα}. Journal Information This ...

A few years ago, psychologist Susan Silk and her friend Barry Goldman wrote about a concept they called the “Ring Theory.” It’s a theory to help yourself know what to do in a crisis. If the crisis is ...

Hurricane Harvey continues to barrage Texas, destroying homes and devastating lives. Whether or not you’re a Texan, you probably know someone who’s been affected, and the urge to reach out and offer ...