Commutative algebra is the study of commutative rings and their module-theoretic and ideal-theoretic structures. Central to this field is the concept of an ideal, which organises information about ...

Zero-divisor graphs provide a graphical framework to capture interactions among zero-divisors in a commutative ring. Given a commutative ring R with identity, one constructs a simple graph whose ...

The Peking University team's AI-driven framework not only solved Dan Anderson’s conjecture in commutative algebra but also produced a fully formalised proof on its own.