Trivial generalized group of units of the ring Z[i]/ < β >
Abstract
In this article we study the structure of the generalized k th group of units, Uk(R) of the quotient ring R = Z[i]/ < β >. In particular, we consider the case where the generalized k th group of units,Uk(R) is the trivial group for a fixed k.
Copyright © 2016 Haissam Yassine Chehade, Iman M. Al Saleh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
H. Y. Chehade, I. M. Al Saleh, Trivial generalized group of units of the ring Z[i]/ < β >, J. Math. Comput. Sci. 6 (2016), 203–215.
BibTeX
@article{Chehade2016,
author = {Chehade, Haissam Yassine and Al Saleh, Iman M.},
title = {Trivial generalized group of units of the ring Z[i]/ < β >},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {203--215},
doi = {}
}