Information for build gap-pkg-sonata-2.8-6.fc27
| ID | 3768 | |||||||
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| Package Name | gap-pkg-sonata | |||||||
| Version | 2.8 | |||||||
| Release | 6.fc27 | |||||||
| Epoch | ||||||||
| Summary | GAP package for systems of nearrings | |||||||
| Description | 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. The SONATA package provides methods for the construction and analysis of finite nearrings. 1. Methods for constructing all endomorphisms and all fixed-point-free automorphisms of a given group. 2. Methods for constructing the following nearrings of functions on a group G: - the nearring of polynomial functions of G (in the sense of Lausch-Nöbauer); - the nearring of compatible functions of G; - distributively generated nearrings such as I(G), A(G), E(G); - centralizer nearrings. 3. A library of all small nearrings (up to order 15) and all small nearrings with identity (up to order 31). 4. Functions to obtain solvable fixed-point-free automorphism groups on abelian groups, nearfields, planar nearrings, as well as designs from those. 5. Various functions to study the structure (size, ideals, N-groups, ...) of nearrings, to determine properties of nearring elements, and to decide whether two nearrings are isomorphic. 6. If the package XGAP is installed, the lattices of one- and two-sided ideals of a nearring can be studied interactively using a graphical representation. | |||||||
| Built by | kojiadmin | |||||||
| State | complete | |||||||
| Volume | DEFAULT | |||||||
| Started | Sat, 14 Apr 2018 19:57:00 UTC | |||||||
| Completed | Sat, 14 Apr 2018 19:57:00 UTC | |||||||
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| Changelog | * Wed Jul 26 2017 Fedora Release Engineering <releng@fedoraproject.org> - 2.8-6 - Rebuilt for https://fedoraproject.org/wiki/Fedora_27_Mass_Rebuild * Fri Feb 10 2017 Fedora Release Engineering <releng@fedoraproject.org> - 2.8-5 - Rebuilt for https://fedoraproject.org/wiki/Fedora_26_Mass_Rebuild * Thu Apr 07 2016 Jerry James <loganjerry@gmail.com> - 2.8-4 - Rebuild for gap 4.8.3 * Wed Feb 03 2016 Fedora Release Engineering <releng@fedoraproject.org> - 2.8-3 - Rebuilt for https://fedoraproject.org/wiki/Fedora_24_Mass_Rebuild * Wed Nov 11 2015 Jerry James <loganjerry@gmail.com> - 2.8-2 - Drop scriptlets; gap-core now uses rpm file triggers - Rebuild documentation from source - Compress files in parallel * Thu Oct 08 2015 Jerry James <loganjerry@gmail.com> - 2.8-1 - New upstream version * Wed Jun 17 2015 Fedora Release Engineering <rel-eng@lists.fedoraproject.org> - 2.6-5 - Rebuilt for https://fedoraproject.org/wiki/Fedora_23_Mass_Rebuild * Fri Jan 16 2015 Jerry James <loganjerry@gmail.com> - 2.6-4 - Initial RPM |
