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.

In this project, we attempt to reformulate various notions from classical commutative algebra (such as flatness, regularity, smoothness, etc.) in an entirely categorical manner, so as to be able to ...

Now for rather different reasons I’m returning to it. But commutative separable algebras are also interesting. They are important in Grothendieck’s approach to Galois theory. So, I want to understand ...

A Macaulay2 package to deal with t-spread ideals of a polynomial ring. Some details can be found in this paper.

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, ...

Contributor Internet Archive Language English Item Size 1.6G 1 online resource (x, 586 pages) : Computational Commutative Algebra 2 is the natural continuation of Computational Commutative Algebra 1 ...

Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, North Carolina 28223, United States Department of Mathematics, Michigan State University, East Lansing, ...

Introduction to commutative algebra. Noetherian rings and modules. Local algebra and primary decomposition. The course may also include subjects from non-commutative algebra such as group and ...

Introduction to commutative algebra. Noetherian rings and modules. Local algebra and primary decomposition. The course may also include subjects from non-commutative algebra such as group and ...