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Physical Sciences and Mathematics Commons

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Mathematics

Turkish Journal of Mathematics

Journal

2018

Crossed modules

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Full-Text Articles in Physical Sciences and Mathematics

Free Modules And Crossed Modules Of $R$-Algebroids, Osman Avcioğlu, İbrahi̇m İlker Akça Jan 2018

Free Modules And Crossed Modules Of $R$-Algebroids, Osman Avcioğlu, İbrahi̇m İlker Akça

Turkish Journal of Mathematics

In this paper, first, we construct the free modules and precrossed modules of $R$-algebroids. Then we introduce the Peiffer ideal of a precrossed module and use it to construct the free crossed module.