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 ...

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) ...

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, ...

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 ...

Journal of Commutative Algebra publishes significant results in the area of commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation theory, ...