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Children's color-based perception of warning intensity in traffic safety signs. [PDF]
Pang J, Pang C, Chen L.
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PD Koch Complementary Fractal UHF Antenna Based on AMC Metasurface. [PDF]
Zhang H +5 more
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The Ypresian ichthyofauna of the Monte Solane Lagerstätte (Verona, northern Italy): A deep dive into the western Tethys early Eocene mesopelagic setting. [PDF]
Calzoni P +7 more
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A genomic framework for tracking antibiotic resistance genes: global dissemination of <i>cfr</i>-family genes. [PDF]
Liu H +9 more
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Langer mesomelic dysplasia as a rare manifestation of <i>SHOX</i> deficiency: a narrative review. [PDF]
Piwar H +4 more
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Commuting Traces of Upper Triangular Matrix Rings
Aequationes Mathematicae, 2017Let \(R\) be a unital ring with \(\frac{1}{2}\in R\), and \(T_{n}(R)\), \(n\geq3\), the upper triangular matrix ring over \(R\). Let \(B:T_{n}(R)\times T_{n}(R)\to T_{n}(R)\) be a biadditive map, and \(q:T_{n}(R)\to T_{n}(R)\) the trace of \(B\), i.e., \(q(X)=B(X,X)\) for all \(X\in T_{n}(R)\).
Daniel Eremita
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Automorphisms of Upper Triangular Matrix Rings
Archiv Der Mathematik, 1987Let A be a simple artinian ring with center F and suppose A is finite dimensional over F. The Skolem-Noether theorem says that every F- automorphism of A is inner. In this note we show that every F- automorphism of the ring of upper triangular matrices over such a ring is inner.
S Jøndrup
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Zero Divisor Graphs of Upper Triangular Matrix Rings
Communications in Algebra, 2013Let R be a commutative ring with identity 1 ≠ 0 and T be the ring of all n × n upper triangular matrices over R. In this paper, we describe the zero divisor graph of T. Some basic graph theory properties of are given, including determination of the girth and diameter. The structure of is discussed, and bounds for the number of edges are given.
Aihua Li, Ralph P Tucci
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Communications in Algebra, 2007
Over a 2-torsionfree commutative ring R with identity, the algebra of all strictly upper triangular n + 1 by n + 1 matrices is denoted by n 1. In this article, we prove that any Jordan automorphism of n 1 can be uniquely decomposed as a product of a graph automorphism, a diagonal automorphism, a central automorphism and an inner automorphism for n ≥ 3.
Xingtao Wang
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Over a 2-torsionfree commutative ring R with identity, the algebra of all strictly upper triangular n + 1 by n + 1 matrices is denoted by n 1. In this article, we prove that any Jordan automorphism of n 1 can be uniquely decomposed as a product of a graph automorphism, a diagonal automorphism, a central automorphism and an inner automorphism for n ≥ 3.
Xingtao Wang
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