In this study we construct, in the category XAlg(R) / A of crossed A-modules of R-algebroids, the coproduct of given two crossed A-modules M = (μ : M → A) and N = (ɳ : N → A) of R-algebroids in two different ways: Firstly we construct the coproduct M ᴼ* N by using the free product M * N of pre-R-algebroids M and N, and then we construct the coproduct M ᴼ⋉ N by using the semidirect product M ⋉ N of M and N via μ. Finally we construct an isomorphism betweenM ᴼ* N and M ᴼ⋉ N.
@article{bwmeta1.element.doi-10_1515_taa-2017-0007,
author = {Osman Avc\i oglu and Ibrahim Ilker Ak\c ca},
title = {Coproduct of Crossed A-Modules of R-Algebroids},
journal = {Topological Algebra and its Applications},
volume = {5},
year = {2017},
pages = {37-48},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_taa-2017-0007}
}
Osman Avcıoglu; Ibrahim Ilker Akça. Coproduct of Crossed A-Modules of R-Algebroids. Topological Algebra and its Applications, Tome 5 (2017) pp. 37-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_taa-2017-0007/