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, ...

Persistent Link: https://ieeexplore.ieee.org/servlet/opac?punumber=10346239 ...

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 ...

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 ...

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 ...

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 ...

Abstract: In this paper we introduce and study the algebraic generalization of non commutative convolutional neural networks. We leverage the theory of algebraic signal processing to model ...