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XModAlg

Crossed Modules and Cat1-Algebras

1.23

3 December 2022

Zekeriya Arvasi
Email: zarvasi@ogu.edu.tr
Address:
Prof. Dr. Z. Arvasi
Osmangazi University
Arts and Sciences Faculty
Department of Mathematics and Computer Science
Eskisehir
Turkey

Alper Odabas
Email: aodabas@ogu.edu.tr
Address:
Dr. A. Odabas
Osmangazi University
Arts and Sciences Faculty
Department of Mathematics and Computer Science
Eskisehir
Turkey

Abstract

The XModAlg package provides functions for computation with crossed modules of commutative algebras and cat^1-algebras.

Bug reports, suggestions and comments are, of course, welcome. Please submit an issue on GitHub at https://github.com/gap-packages/xmodalg/issues/ or contact the second author at aodabas@ogu.edu.tr.

Copyright

© 2014-2022, Zekeriya Arvasi and Alper Odabas.

The XModAlg package is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

Acknowledgements

This documentation was prepared with the GAPDoc [LN17] and AutoDoc [GH17] packages.

The procedure used to produce new releases uses the package GitHubPagesForGAP [Hor17] and the package ReleaseTools.

Both authors are very grateful to Chris Wensley (https://github.com/cdwensley) for helpful suggestions.

This work was partially supported by TÜBİTAK (The Scientific and Technical Research Council of Turkey), project number 107T542.

Contents

1 Introduction
2 Algebras and their Actions
3 Cat1-algebras
4 Crossed modules
5 Conversion between cat1-algebras and crossed modules
References
Index

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