r -代数群交叉a模的余积

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2017-12-20 DOI:10.1515/taa-2017-0007

Osman Avcıoğlu, I. Akça

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引用次数: 0

摘要

摘要在R-代数体的交叉A-模的范畴XAlg（R）/A中，我们构造了给定两个交叉A-模M=（μ：M→ A）并且N=（ɳ：N→ A） R代数体的两种不同方式：首先我们构造了副积Mᴼ* 通过使用前R-代数体M和N的自由积M*N，我们构造了副积Mᴼ⋉ 利用M和N的半直积M⋉N通过μ。最后我们构造了M之间的同构ᴼ* N和Mᴼ⋉ N

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Coproduct of Crossed A-Modules of R-Algebroids

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.

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks