Abstract
Rings is an open-source library, written in Java and Scala programming languages, which implements basic concepts and algorithms from computational commutative algebra. The goal of the Rings library is to provide a high-performance implementation packed into a lightweight library (not a full-featured CAS) with a clean application programming interface (API), which meets modern standards of software development. Polynomial arithmetic, GCDs, factorization, and Grobner bases are implemented with the use of modern fast algorithms. Rings provides a simple API with a fully typed hierarchy of algebraic structures and algorithms for commutative algebra. The use of the Scala language brings a quite novel powerful, strongly typed functional programming model allowing to write short, expressive, and fast code for applications.
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