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Plural, a non-commutative extension of Singular: past, present and future. (English) Zbl 1229.16001
Iglesias, AndrĂ©s (ed.) et al., Mathematical software – ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1–3, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38084-9/pbk). Lecture Notes in Computer Science 4151, 144-157 (2006).
Summary: We describe the non-commutative extension of the computer algebra system Singular, called Plural. In the system, we provide rich functionality for symbolic computation within a wide class of non-commutative algebras. We discuss the computational objects of Plural, the implementation of main algorithms, various aspects of software engineering and numerous applications.
For the entire collection see [Zbl 1195.68008].

MSC:
16-04 Software, source code, etc. for problems pertaining to associative rings and algebras
16Z05 Computational aspects of associative rings (general theory)
17-08 Computational methods for problems pertaining to nonassociative rings and algebras
68W30 Symbolic computation and algebraic computation
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
17B37 Quantum groups (quantized enveloping algebras) and related deformations
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