Commutative algebra and algebraic geometry form a deeply interwoven field that investigates the structure of polynomial rings, their ideals, and the geometric objects defined by these algebraic sets.

An ideal I in the free associative algebra $\kappa \,\langle $X1, ... , X$_{n}\rangle $ over a field k is shown to have a finite Grobner basis if the algebra defined ...

World Scientific's newly published book A Non-Hausdorff Completion: The Abelian Category of C-complete Left Modules over a Topological Ring, introduces an entirely new invariant in commutative (and ...

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) ...

This is a preview. Log in through your library . Abstract Let k be a commutative ring with unit of characteristic $p > 0$ and let G = Spec(A) be an affine commutative ...

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, ...