CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutSign UpSign In

Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.

| Download

GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

Views: 418346
1
<?xml version="1.0" encoding="UTF-8"?>
2
3
<!DOCTYPE Book SYSTEM "gapdoc.dtd"
4
[ <!ENTITY Circle "<Package>Circle</Package>">
5
<#Include Label="PKGVERSIONDATA">
6
] >
7
8
<Book Name="Circle">
9
10
<TitlePage>
11
<Title>&Circle;</Title>
12
<Subtitle>Adjoint groups of finite rings</Subtitle>
13
<Version>Version &VERSION;</Version>
14
15
<Author>Alexander Konovalov
16
<Email>[email protected]</Email>
17
<Homepage>http://www.cs.st-andrews.ac.uk/&tilde;alexk/</Homepage>
18
<Address>
19
School of Computer Science<Br/>
20
University of St Andrews<Br/>
21
Jack Cole Building, North Haugh,<Br/>
22
St Andrews, Fife, KY16 9SX, Scotland
23
</Address>
24
</Author>
25
26
<Author>Panagiotis Soules
27
<Email>[email protected]</Email>
28
<Address>
29
Department of Mathematics<Br/>
30
National and Capodistrian University of Athens<Br/>
31
Panepistimioupolis, GR-15784, Athens, Greece
32
</Address>
33
</Author>
34
35
<Date>&RELEASEDATE;</Date>
36
37
<Abstract>
38
39
<Index Key="Circle package">&Circle; package</Index>
40
The &GAP;4 package &Circle; extends the &GAP; functionality
41
for computations in adjoint groups of associative rings.
42
It provides functionality to construct circle objects that will
43
respect the circle multiplication <M> r \cdot s = r + s + rs </M>,
44
and to compute adjoint semigroups and adjoint groups of finite rings.
45
Also it may serve as an example of extending the &GAP; system with
46
new multiplicative objects.
47
<P/>
48
49
</Abstract>
50
51
<Copyright>
52
53
&copyright; 2006-&RELEASEYEAR; by Alexander Konovalov and Panagiotis Soules
54
<P/>
55
56
&Circle; is free software; you can redistribute it and/or modify it
57
under the terms of the GNU General Public License as published by
58
the Free Software Foundation; either version 2 of the License, or
59
(at your option) any later version. For details, see the FSF's own site
60
<URL>http://www.gnu.org/licenses/gpl.html</URL>.
61
<P/>
62
63
If you obtained &Circle;, we would be grateful for a short notification
64
sent to one of the authors.
65
<P/>
66
67
If you publish a result which was partially obtained with the usage of
68
&Circle;, please cite it in the following form:
69
<P/>
70
71
A. Konovalov, P. Soules.
72
<E>Circle --- Adjoint groups of finite rings, Version &VERSION;;</E>
73
&RELEASEYEAR; (<URL>http://www.cs.st-andrews.ac.uk/&tilde;alexk/circle/</URL>).
74
</Copyright>
75
76
<Acknowledgements>
77
78
We acknowledge very much Alexander Hulpke and James Mitchell
79
for their helpful comments and advices, and the referee for
80
testing the package and useful suggestions.
81
<P/>
82
83
</Acknowledgements>
84
85
</TitlePage>
86
87
<TableOfContents/>
88
89
<Body>
90
<#Include SYSTEM "intro.xml">
91
<#Include SYSTEM "objects.xml">
92
<#Include SYSTEM "funct.xml">
93
<#Include SYSTEM "example.xml">
94
</Body>
95
96
<Bibliography Databases="manual"/>
97
98
<TheIndex/>
99
100
</Book>
101