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.

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

Full Text: PDF