Obtaining free group algebras in division rings generated by group graded rings-Reference-Cited by-同舟云学术

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Obtaining free group algebras in division rings generated by group graded rings

Published:2018-10 Issue:10 Volume:17 Page:1850194
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Sánchez Javier¹

Affiliation:

1. Department of Mathematics — IME, University of São Paulo, Rua do Matão 1010, São Paulo, SP 05508-090, Brazil

Abstract

We give sufficient conditions for the existence of noncommutative free group algebras in division rings generated by group graded rings. We also relate our conclusions to already existing results on the subject improving some of them.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818501943

Reference22 articles.

1. Universal localizations embedded in power-series rings

2. Ring coproducts embedded in power-series rings

3. Corps minimaux contenant l’algebre du groupe libre a deux generateurs

4. FREE SYMMETRIC AND UNITARY PAIRS IN DIVISION RINGS WITH INVOLUTION

5. Free symmetric group algebras in division rings generated by poly-orderable groups

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Free group algebras in division rings with valuation I;Journal of Algebra;2019-08

2. Free Group Algebras in Division Rings with Valuation II;Canadian Journal of Mathematics;2019-07-05

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