Coproduct of Crossed A-Modules of R-Algebroids

Osman Avcıoglu, and Ibrahim Ilker Akça. "Coproduct of Crossed A-Modules of R-Algebroids." Topological Algebra and its Applications 5.1 (2017): 37-48. <http://eudml.org/doc/288288>.

@article{OsmanAvcıoglu2017,
abstract = {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.},
author = {Osman Avcıoglu, Ibrahim Ilker Akça},
journal = {Topological Algebra and its Applications},
keywords = {Algebroid; crossed module; coproduct; free product; semidirect product},
language = {eng},
number = {1},
pages = {37-48},
title = {Coproduct of Crossed A-Modules of R-Algebroids},
url = {http://eudml.org/doc/288288},
volume = {5},
year = {2017},
}

TY - JOUR
AU - Osman Avcıoglu
AU - Ibrahim Ilker Akça
TI - Coproduct of Crossed A-Modules of R-Algebroids
JO - Topological Algebra and its Applications
PY - 2017
VL - 5
IS - 1
SP - 37
EP - 48
AB - 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.
LA - eng
KW - Algebroid; crossed module; coproduct; free product; semidirect product
UR - http://eudml.org/doc/288288
ER -