Coproduct of Crossed A-Modules of R-Algebroids-Reference-Cited by-同舟云学术

Coproduct of Crossed A-Modules of R-Algebroids

Published:2017-12-20 Issue:1 Volume:5 Page:37-48
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
language:
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Author:

Avcıoglu Osman¹,Akça Ibrahim Ilker²

Affiliation:

1. 1Usak University, Faculty of Arts and Sciences, Department of Mathematics, Usak, Turkey

2. 2Eskisehir Osmangazi University, Faculty of Science and Letters, Department of Mathematics and Computer Sciences, Eskisehir, Turkey

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/taa-2017-0007/pdf

Reference10 articles.

1. Separable algebroids no;Mitchell;Math Soc,1985

2. Some applications of module theory to functor categories;Mitchell;Bull Amer Math Soc,1978

3. On generators of Peiffer ideal of a pre - algebroid in a precrossed module and applications New Trends in Mathematical;Avcıoglu;Sciences,2017

4. Algebraic and categorical structure of categories of crossed modules of algebras Thesis University College of North;Shammu,1992

5. Separable categories;Amgott;Pure Appl Algebra,1986