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GAP package SONATA

Aichinger E., Binder F., Ecker J., Mayr P., Nöbauer C.: GAP package SONATA, 2003.

BibTeX

@misc{
title = {GAP package SONATA},
type = {Sonstige},
author = {Aichinger, Erhard and Binder, Franz and Ecker, Juergen and Mayr, Peter and Nöbauer, Christof},
language = {EN},
abstract = {SONATA stands for "systems of nearrings and their applications". It provides methods for the construction and the analysis of finite nearrings. A left nearring is an algebra (N;+,*), where (N,+) is a (not necessarily abelian) group, (N,*) is a semigroup, and x*(y+z) = x*y + x*z holds for all x,y,z in N. As a typical example of a nearring, we may consider the set of all mappings from a group G into G, where the addition is the pointwise addition of mappings in G, and the multiplication is composition of functions. If functions are written on the right of their arguments, then the left distributive law holds, while the right distributive law is not satisfied for non-trivial G.},
year = {2003},
note = {Zitatsnotiz: Package for the System ``GAP - Groups, Algorithms, Programming - a System for Computational Discrete Algebra.'' Accepted as a refereed GAP package.},
url = {http://www.gap-system.org/Packages/packages.html},
}

Details

Zusammenfassung: SONATA stands for "systems of nearrings and their applications". It provides methods for the construction and the analysis of finite nearrings. A left nearring is an algebra (N;+,*), where (N,+) is a (not necessarily abelian) group, (N,*) is a semigroup, and x*(y+z) = x*y + x*z holds for all x,y,z in N. As a typical example of a nearring, we may consider the set of all mappings from a group G into G, where the addition is the pointwise addition of mappings in G, and the multiplication is composition of functions. If functions are written on the right of their arguments, then the left distributive law holds, while the right distributive law is not satisfied for non-trivial G.

Erscheinungsjahr: 2003
Web: http://www.gap-system.org/Packages/packages.html (GAP-packages)
Reichweite: International
Notiz zum Zitat: Package for the System ``GAP - Groups, Algorithms, Programming - a System for Computational Discrete Algebra.'' Accepted as a refereed GAP package.

Beteiligte

AutorInnen / HerausgeberInnen: Assoz.Univprof. DI Dr. Erhard Aichinger, DI Franz Binder, Dr. Juergen Ecker, Priv.-Doz. DI Dr. Peter Mayr, Dr. Christof Nöbauer

Forschungseinheiten der JKU:

Wissenschaftszweige: 101 Mathematik | 101001 Algebra | 101005 Computeralgebra | 101013 Mathematische Logik | 102031 Theoretische Informatik

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