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Merge pull request gap-packages#83 from cdwensley/issue77
Issue77
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CHANGES.md

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# CHANGES to the 'XModAlg' package
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## 1.27 -> 1.28 (31/01/25)
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* (31/01/25) removed all operations involving direct sums of crossed modules
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of algebras because the theoretical basis needs checking;
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added Nizar Shammu's thesis to the list of references
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## 1.26 -> 1.27 (26/10/24)
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* (21/10/24) removed references to "Type2" and "XModAlgebraConst"
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tests now use local variables and are mirrored in /examples

PackageInfo.g

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PackageName := "XModAlg",
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Subtitle := "Crossed Modules and Cat1-Algebras",
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Version := "1.27dev",
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Date := "03/01/2025", # dd/mm/yyyy format
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Version := "1.28",
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Date := "31/01/2025", # dd/mm/yyyy format
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License := "GPL-2.0-or-later",
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Persons := [

README.md

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## Copyright
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The 'XModAlg' package is Copyright © Zekeriya Arvasi and Alper Odabas et al, 2014--2022.
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The 'XModAlg' package is Copyright © Zekeriya Arvasi and Alper Odabas et al, 2014--2025.
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'XModAlg' is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by

doc/algebra.xml

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<!-- -->
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<!-- algebra.xml XModAlg documentation Z. Arvasi -->
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<!-- & A. Odabas -->
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<!-- Copyright (C) 2014-2024, Z. Arvasi & A. Odabas, -->
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<!-- Copyright (C) 2014-2025, Z. Arvasi & A. Odabas, -->
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<!-- Osmangazi University, Eskisehir, Turkey -->
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<!-- -->
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<!-- ------------------------------------------------------------------- -->
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<#Include Label="EmbeddingForDirectSumOfAlgebras">
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<#Include Label="DirectSumOfAlgebraHomomorphisms">
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<#Include Label="AlgebraActionOnDirectSum">
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<#Include Label="DirectSumOfAlgebraActions">
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</Section>
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<Section>

doc/bib.xml

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<school>Osmangazi University, Eskisehir</school>
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</phdthesis></entry>
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<entry id="shammu1"><phdthesis>
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<author>
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<name><first>N. M.</first><last>Shammu</last></name>
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</author>
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<title>Algebraic and categorical structure of categories of crossed modules of algebras</title>
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<year>1992</year>
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<school>University of Wales, Bangor (U.K.)</school>
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</phdthesis></entry>
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<entry id="porter1"><article>
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<author>
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<name><first>T.</first><last>Porter</last></name>

doc/cat1.xml

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<!-- -->
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<!-- cat1.xml XModAlg documentation Z. Arvasi -->
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<!-- & A. Odabas -->
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<!-- Copyright (C) 2014-2024, Z. Arvasi & A. Odabas, -->
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<!-- Copyright (C) 2014-2025, Z. Arvasi & A. Odabas, -->
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<!-- Osmangazi University, Eskisehir, Turkey -->
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<!-- -->
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<!-- ------------------------------------------------------------------- -->

doc/convert.xml

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<!-- -->
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<!-- convert.xml XModAlg documentation Z. Arvasi -->
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<!-- & A. Odabas -->
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<!-- Copyright (C) 2014-2024, Z. Arvasi & A. Odabas, -->
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<!-- Copyright (C) 2014-2025, Z. Arvasi & A. Odabas, -->
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<!-- Osmangazi University, Eskisehir, Turkey -->
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<!-- -->
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<!-- ------------------------------------------------------------------- -->

doc/intro.xml

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In 1950 S. MacLane and J.H.C. Whitehead, <Cite Key="whitehead"/>
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suggested that crossed modules modeled homotopy <M>2</M>-types.
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Later crossed modules have been considered as
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<M>2</M><E>-dimensional groups</E>, <Cite Key="brown1"/>, <Cite Key="brown2"/>.
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<M>2</M><E>-dimensional groups</E>, <Cite Key="brown1"/>,
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<Cite Key="brown2"/>.
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The commutative algebra version of this construction has been adapted by
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T. Porter, <Cite Key="arvasi2"/>, <Cite Key="porter1"/>.
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This algebraic version is called <E>combinatorial algebra theory</E>,
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which contains potentially important new ideas
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(see <Cite Key="arvasi2"/>, <Cite Key="arvasi3"/>, <Cite Key="arvasi4"/>).
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(see <Cite Key="shammu1"/>, <Cite Key="arvasi2"/>, <Cite Key="arvasi3"/>,
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<Cite Key="arvasi4"/>).
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<P/>
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A share package <Package>XMod</Package>, <Cite Key="alp3"/>,
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<Cite Key="alp2"/>, was prepared by

doc/xmod.xml

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<!-- -->
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<!-- xmod.xml XModAlg documentation Z. Arvasi -->
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<!-- & A. Odabas -->
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<!-- Copyright (C) 2014-2024, Z. Arvasi & A. Odabas, -->
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<!-- Copyright (C) 2014-2025, Z. Arvasi & A. Odabas, -->
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<!-- Osmangazi University, Eskisehir, Turkey -->
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<!-- -->
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<!-- ------------------------------------------------------------------- -->
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<#Include Label="XModAlgebraByModule">
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<#Include Label="DirectSumOfXModAlgebras">
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<ManSection>
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<Oper Name="SubXModAlgebra"

examples/convert.g

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Print( "Cn = Cat1AlgebraOfXModAlgebra( Xn ): ", Cn, "\n" );
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Display( Cn );
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bdy3 := AlgebraHomomorphismByImages( Rc3, A3, [ g3 ], [ m3 ] );;
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X3 := XModAlgebraByBoundaryAndAction( bdy3, actg3 );;
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C3 := Cat1AlgebraOfXModAlgebra( X3 );
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Print( "\nC3 = Cat1AlgebraOfXModAlgebra( X3 ): ", C3, "\n" );
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Display( C3 );

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