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, O, & AKÇA, İ. İ (2018). Free modules and crossed modules of $R$-algebroids. Turkish Journal of Mathematics 42 (6): 2863-2875. https://doi.org/10.3906/mat-1601-38