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 ...

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 ...

A Chinese AI framework from Peking University has autonomously solved and formally verified a 2014 conjecture in commutative algebra posed by late US mathematician Dan Anderson. The dual-agent system, ...

Chinese AI system autonomously solved a 2014 open problem in commutative algebra The AI combined natural language reasoning with formal machine verification techniques The solution was formalised with ...