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 ...

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.

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

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 ...

This is a preview. Log in through your library . Abstract Abstract A necessary and sufficient condition for a Lau type binary operation defined by two mappings to be an algebra-operation is given in ...