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, ...

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, ...

The files are just as it was in our overleaf. This is a bit unorganized as it was our first project and we were figuring things out. Feel free to download and change for example font to better fit ...

Designed for a one-semester course in mathematics, this textbook presents a concise and practical introduction to commutative algebra in terms of normal (normalized) structure. It shows how the nature ...

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 ...

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, ...

Commutative algebra formalized in Coq using SSReflect/MathComp & packed classes. This repository is part of the Coq/SSReflect algebraic geometry project. All rings here are commutative and has 1, as ...

ABSTRACT: In this paper we show that if R is a discrete valuation ring, then R is a filtered ring. We prove some properties and relation when R is a discrete valuation ring.

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 ...