# Coproduct of Crossed A-Modules of R-Algebroids

Osman Avcıoglu; Ibrahim Ilker Akça

Topological Algebra and its Applications (2017)

- Volume: 5, Issue: 1, page 37-48
- ISSN: 2299-3231

## Access Full Article

top## Abstract

top## How to cite

topOsman 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.