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10-15 March 2019
Steinmatte conference center
Europe/Zurich timezone

Rings: an efficient library for polynomial rings

14 Mar 2019, 18:00
Steinmatte Room C

Steinmatte Room C

Oral Track 3: Computations in Theoretical Physics: Techniques and Methods Track 3: Computations in Theoretical Physics: Techniques and Methods


Stanislav Poslavsky (IHEP, Protvino)


The talk is devoted to the overview of Rings — an efficient lightweight library for commutative algebra written in Java and Scala languages. Polynomial arithmetic, GCDs, polynomial factorization and Gröbner bases are implemented with the use of modern asymptotically fast algorithms. Rings can be easily interacted or embedded in applications in high-energy physics and other research areas via a simple API with 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. At the same time Rings shows one of the best performances among existing software for algebraic calculations.

Primary author

Stanislav Poslavsky (IHEP, Protvino)

Presentation materials