![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
The ideal-relation graph over a ring , written as
, is a directed graph which has
as vertex set and there is a directed edge from a vertex
to a distinct vertex
if and only if the (two-sided) ideal of
generated by
is properly contained in the ideal generated by
. In this paper, the automorphisms of
are characterized when
is the ring of all
upper triangular matrices over a finite field.
Acknowledgements
We thank the referee for his careful reading and his revision suggestions, which improve the expressions of this manuscript a lot!
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
Supported by National Natural Science Foundation of China [grant number 11171343] and supported by the Research Innovation Program for College Graduates of Jiangsu Province [grant number KYZZ-0372].