Coproduct of Crossed A-Modules of R-Algebroids

• Autorzy: Osman Avcıoglu , Ibrahim Ilker Akça
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Algebroid; crossed module; coproduct; free product; semidirect product

Kategorie tematyczne

• 18A30: Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
• 18A32: Factorization of morphisms, substructures, quotient structures, congruences, amalgams
• 16D25: Ideals
• 18B99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Topological Algebra and its Applications
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 37-48

Daty

wydano

2017-12-20

otrzymano

2017-06-30

zaakceptowano

2017-11-13

online

2017-12-29

Twórcy

autor

Osman Avcıoglu

• ,

autor

Ibrahim Ilker Akça

• ,

Identyfikatory

DOI

10.1515/taa-2017-0007