Units on the Gauss extension of a Galois ring-Reference-Cited by-同舟云学术

Units on the Gauss extension of a Galois ring

Published:2015-10-06 Issue:02 Volume:15 Page:1650028
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Chen Weining¹²,Tang Gaohua¹²,Su Huadong¹²

Affiliation:

1. School of Mathematical and Sciences, Guangxi Teachers Education University, Nanning, Guangxi, 530023, P. R. China

2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St.John's, Nfld A1C 5S7, Canada

Abstract

Ring extensions are a well-studied topic in ring theory. In this paper, we study the structure of the Gauss extension of a Galois ring. We determine the structures of the extension ring and its unit group.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816500286

Reference17 articles.

1. Zero Divisor Graph for the Ring of Gaussian Integers Modulon

2. Skew quasi-cyclic codes over Galois rings

3. Finite Commutative Rings and Their Applications

4. The Euler φ-Function in the Gaussian Integers

5. Computing generators of the unit group of an integral abelian group ring

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