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) ...

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, ...

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 ...

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 ...

ON 2-STABLY ISOMORPHIC FOUR-DIMENSIONAL AFFINE DOMAINS (pp. 153-162) ...

I arrived in the US in 2006, as a Visiting Assistant Professor at the University of Notre Dame. Before then, I was a Ph.D. student at Queen's University, Canada, a postdoc at the University of Genova, ...