Results 11 to 20 of about 21 (21)
Jacobsons Lemma fails for nil-clean 2 × 2 integral matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We show that for two 2 × 2 integral matrices A, B, if the product AB is nil-clean then BA may not be nil-clean. Despite the fact that for many special cases, BA is also nil-clean, we finally found three counterexamples.
Călugăreanu Grigore, Pop Horia F.
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Inverses and eigenvalues of diamondalternating sign matrices
Special Matrices, 2014 An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived.
Catral Minerva +3 more
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Rank relations between a {0, 1}-matrix and its complement
Open Mathematics, 2018 Let A be a {0, 1}-matrix and r(A) denotes its rank. The complement matrix of A is defined and denoted by Ac = J − A, where J is the matrix with each entry being 1.
Ma Chao, Zhong Jin
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Generalized Pell Equations for 2 × 2 Matrices
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we consider the solutions of the generalized matrix Pell equations X2 − dY2 = cI, where X and Y are 2 × 2 matrices over ℤ, d is a non-zero (positive or negative) square-free integer, c is an arbitrary integer and I is the 2 × 2 identity ...
Cohen Boaz
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Special MatricesA nonzero element aa is called 1-Sylvester in a ring RR, if there exist b,c∈Rb,c\in R such that 1=ab+ca1=ab+ca. In this article, we study such elements, mainly in matrix rings over commutative rings.
Călugăreanu Grigore
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On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers
Annales Mathematicae SilesianaeIn this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of
Piejko Krzysztof, Trojnar-Spelina Lucyna
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The number of rational points of some classes of algebraic varieties over finite fields
Open MathematicsLet Fq{{\mathbb{F}}}_{q} be the finite field of characteristic pp and Fq*=Fq\{0}{{\mathbb{F}}}_{q}^{* }\left={{\mathbb{F}}}_{q}\backslash \left\{0\right\}.
Zhu Guangyan +3 more
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Development and Preproduction of 15B36Cr Steel for Track Link
Teshugang, 2019 The Φ60 mm 15B36Cr steel two furnace for Track Link (/% : 0.30 ~0.37C、0.15 〜0.30Si、1.20 ~ 1.50Mn、≤ 0. 040P、 ≤ 0.050S、0.20 ~ 0.40Cr、≤ 0. 25Ni、≤ 0.35Cu、≤ 0.06Mo、0.0005 - 0.0030B) was produced by 90 t LD with top-bottom blowing-LF-RH- 200 mm x200 mm billet ...
梁佰战, 郑力宁, 肖波
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Monotonicity of the number of positive entries in nonnegative matrix powers. [PDF]
J Inequal Appl, 2018 Xie Q.
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A library of lineage-specific driver lines connects developing neuronal circuits to behavior in the <i>Drosophila</i> ventral nerve cord. [PDF]
ElifeSoffers JHM +11 more
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