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Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]
Commun Math PhysGaroufalidis S +3 more
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The Role of Biodegradable Temporizing Matrix in Paediatric Reconstructive Surgery. [PDF]
J Clin MedBini A +5 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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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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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.
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Maximal Semicommutative Subrings of Upper Triangular Matrix Rings
Communications in Algebra, 2008A ring R is called “semicommutative” if any right annihilator over R is an ideal of R. We show that special subrings of upper triangular matrix rings over a reduced ring are maximal semicommutative. Consequently, new families of semicommutative rings are presented.
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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.
Xing Tao 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.
Xing Tao Wang
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Endomorphisms of upper triangular matrix rings
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Commuting maps on strictly upper triangular matrix rings
Operators and Matrices, 2023Summary: Let \(R\) be either a ring with 1 or a semiprime ring not necessarily with 1 and let \(N_n(R)\) be the \(n \times n\) strictly upper triangular matrix ring over \(R\), where \(n\geqslant 3\) is an integer. We completely characterize additive maps \(f:N_n(R) \to N_n(R)\) satisfying \([f(x),x]=0\) for all \(x \in N_n (R)\). Our theorem naturally
Ko, Shu-Wen, Liu, Cheng-Kai
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