PLURAL, a Non--commutative Extension of SINGULAR: Past, Present and Future

Viktor Levandovskyy

doi:10.1007/11832225_13

PLURAL, a Non--commutative Extension of SINGULAR: Past, Present and Future

Viktor Levandovskyy

Research Institute for Symbolic Computation

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

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.

Original language	English
Title of host publication	Mathematical Software - ICMS 2006 (International Congress on Mathematical Software)
Editors	A. Iglesias and N. Takayama
Pages	144-157
Number of pages	14
DOIs	https://doi.org/10.1007/11832225_13
Publication status	Published - Sept 2006

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4151 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

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10.1007/11832225_13

Cite this

Levandovskyy, V. (2006). PLURAL, a Non--commutative Extension of SINGULAR: Past, Present and Future. In A. Iglesias and N. Takayama (Ed.), Mathematical Software - ICMS 2006 (International Congress on Mathematical Software) (pp. 144-157). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4151 LNCS). https://doi.org/10.1007/11832225_13

Levandovskyy, Viktor. / PLURAL, a Non--commutative Extension of SINGULAR: Past, Present and Future. Mathematical Software - ICMS 2006 (International Congress on Mathematical Software). editor / A. Iglesias and N. Takayama. 2006. pp. 144-157 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "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.",

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Levandovskyy, V 2006, PLURAL, a Non--commutative Extension of SINGULAR: Past, Present and Future. in A. Iglesias and N. Takayama (ed.), Mathematical Software - ICMS 2006 (International Congress on Mathematical Software). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4151 LNCS, pp. 144-157. https://doi.org/10.1007/11832225_13

PLURAL, a Non--commutative Extension of SINGULAR: Past, Present and Future. / Levandovskyy, Viktor.
Mathematical Software - ICMS 2006 (International Congress on Mathematical Software). ed. / A. Iglesias and N. Takayama. 2006. p. 144-157 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4151 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

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Levandovskyy V. PLURAL, a Non--commutative Extension of SINGULAR: Past, Present and Future. In A. Iglesias and N. Takayama, editor, Mathematical Software - ICMS 2006 (International Congress on Mathematical Software). 2006. p. 144-157. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11832225_13

PLURAL, a Non--commutative Extension of SINGULAR: Past, Present and Future

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