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, ...

Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

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 ...