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53 lines
2.0 KiB
53 lines
2.0 KiB
<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE pkgmetadata SYSTEM "https://www.gentoo.org/dtd/metadata.dtd">
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<pkgmetadata>
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<maintainer type="person">
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<email>mjo@gentoo.org</email>
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</maintainer>
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<maintainer type="person">
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<email>frp.bissey@gmail.com</email>
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<name>François Bissey</name>
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</maintainer>
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<maintainer type="project" proxied="proxy">
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<email>proxy-maint@gentoo.org</email>
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<name>Proxy Maintainers</name>
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</maintainer>
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<maintainer type="project">
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<email>sci-mathematics@gentoo.org</email>
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<name>Gentoo Mathematics Project</name>
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</maintainer>
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<longdescription lang="en">
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SONATA stands for "systems of nearrings and their applications." It
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provides methods for the construction and the analysis of finite
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nearrings:
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* Methods for constructing all endomorphisms and all
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fixed-point-free automorphisms of a given group.
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* Methods for constructing the following nearrings of functions on
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a group G: the nearring of polynomial functions of G (in the sense
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of Lausch-Nöbauer); the nearring of compatible functions of G;
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distributively generated nearrings such as I(G), A(G), E(G);
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centralizer nearrings.
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* A library of all small nearrings (up to order 15) and all small
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nearrings with identity (up to order 31).
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* Functions to obtain solvable fixed-point-free automorphism
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groups on abelian groups, nearfields, planar nearrings, as well
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as designs from those.
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* Various functions to study the structure (size, ideals,
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N-groups, ...) of nearrings, to determine properties of nearring
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elements, and to decide whether two nearrings are isomorphic.
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* If the package XGAP is installed, the lattices of one- and
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two-sided ideals of a nearring can be studied interactively using
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a graphical representation
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</longdescription>
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<upstream>
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<remote-id type="github">gap-packages/sonata</remote-id>
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</upstream>
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</pkgmetadata>
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