Results 81 to 90 of about 564 (182)
A SUBCLASS OF BAER IDEALS AND ITS APPLICATIONS [PDF]
Journal of Algebraic SystemsAn ideal $I$ of a ring $R$ is called a right strongly Baer ideal if $r(I)=r(e)$, where $e$ is an idempotent, and there are right semicentral idempotents $e_{i}$ ($1\leq i\leq n$) with $ReR=Re_{1}R\cap Re_{2}R\cap...\cap Re_{n}R$ and each ideal $Re_{i}R ...
Zainab Gharabagi, Ali Taherifar
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On idempotency of linear combinations of a quadratic or a cubic matrix and an arbitrary matrix
Filomat, 2019 Let A be a quadratic or a cubic n x n nonzero matrix and B be an arbitrary n x n nonzero matrix. In this study, we have established necessary and sufficient conditions for the idempotency of the linear combinations of the form aA + bB, under the some certain conditions imposed on A and B, where a, b are nonzero complex numbers.
Murat Sarduvan, Nurgül Kalaycı
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Quasipolar Subrings of 3 x 3 Matrix Rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 An element a of a ring R is called quasipolar provided that there exists an idempotent p ∈ R such that p ∈ comm2(a), a + p ∈ U (R) and ap ∈ Bqnil. A ring R is quasipolar in case every element in R is quasipolar.
Gurgun Orhan +2 more
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Linear maps on Banach algebras which are Lie centralizers at a point
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, we study continuous linear maps that behave as Lie centralizers at specific points, including identity products, zero products, and idempotent products.
A. Zivari-Kazempour
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Matrix division with an idempotent divisor or quotient
Linear Algebra and its Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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CIAG: Conditional Idempotent Association Generation for Heterogeneous Track‐to‐Track Association
IET Radar, Sonar & NavigationIn advanced defence and security systems, multi‐sensor fusion is widely used to improve the overall observation capability, and heterogeneous sensors are a typical deployment in multi‐sensor systems.
Pingliang Xu, Yaqi Cui, Wei Xiong
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Idempotent graph of 2x2 matrix ring with involution
Gulf Journal of MathematicsLet R=M_2(F), where F is a finite field. In this paper, we investigate the idempotent graph of a ring R denoted by I*(R). We demonstrate that I*(R) is disconnected, having the components either complete bipartite graphs or complete graphs. A characterization is obtained for the regularity of I*(R). We determine the adjacency and Laplacian spectrum, the
Lande, Anita, Khairnar, Anil
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An Introduction to i-Commutative Rings
MathematicsIn this paper, we introduce a new class of rings, called i-commutative rings, by extending the concept of commutative-like rings using idempotent elements.
Muhammad Saad +3 more
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Augmented polynomial matrices and algebraization of switching circuits
Журнал Белорусского государственного университета: Математика, информатика, 2018 Over rings of polynomials with idempotent variables (over arbitrary fields) there are defined classes of augmented matrices (with one distinguished column) that realize Boolean functions.
Yury G. Tarazevich
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First order linear ordinary differential equations in associative algebras
Electronic Journal of Differential Equations, 2004 In this paper, we study the linear differential equation $$ frac{dx}{dt}=sum_{i=1}^n a_i(t) x b_i(t) + f(t) $$ in an associative but non-commutative algebra $mathcal{A}$, where the $b_i(t)$ form a set of commuting $mathcal{A}$-valued functions expressed ...
Gordon Erlebacher, Garrret E. Sobczyk
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