Free modules and crossed modules of $R$-algebroids

Authors

OSMAN AVCIOĞLU
İBRAHİM İLKER AKÇA

Abstract

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.

DOI

10.3906/mat-1601-38

Keywords

R-category, R-algebroid, crossed modules, free modules

First Page

2863

Last Page

2875

Recommended Citation

AVCIOĞLU, OSMAN and AKÇA, İBRAHİM İLKER (2018) "Free modules and crossed modules of $R$-algebroids," Turkish Journal of Mathematics: Vol. 42: No. 6, Article 1. https://doi.org/10.3906/mat-1601-38
Available at: https://journals.tubitak.gov.tr/math/vol42/iss6/1