کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599331 1631130 2015 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on automorphisms of the zero-divisor graph of upper triangular matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A note on automorphisms of the zero-divisor graph of upper triangular matrices
چکیده انگلیسی
Let Fq be a finite field with q elements, n(≥3) a positive integer, T(n,q) the set of all n×n upper triangular matrices over Fq. In [13], the zero-divisor graph of T(n,q), written as T, is defined to be a graph with all nonzero zero-divisors in T(n,q) as vertices, and there is a directed edge from a vertex X to a vertex Y if and only if XY=0. The subgraph of T induced by all rank one matrices in T(n,q) is denoted by R. Wong et al. (2014) in [13] determined the automorphisms of R and left the automorphisms of T unsolved. In this note, we solve this problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 465, 15 January 2015, Pages 214-220
نویسندگان
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