Results 21 to 30 of about 13,980 (255)
THE SIMILARITY DEGREE OF SOME -ALGEBRAS [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractWe define the class of weakly approximately divisible unital${C}^{\ast } $-algebras and show that this class is closed under direct sums, direct limits, any tensor product with any${C}^{\ast } $-algebra, and quotients. A nuclear${C}^{\ast } $-algebra is weakly approximately divisible if and only if it has no finite-dimensional representations ...
Hadwin, Don, Li, Weihua
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The Euclidean Distance Degree of an Algebraic Variety [PDF]
Foundations of Computational Mathematics, 2015 The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. For instance, for varieties of low rank matrices, the Eckart-Young Theorem states that this map is given by the singular value decomposition.
Jan Draisma +4 more
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On a class of invariant algebraic curves for Kukles systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree.
Osvaldo Osuna +2 more
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THE MULTIPLICATION ALGEBRA OF WEIGHTED ALGEBRAS OF DEGREE 4
Communications in Algebra, 2002 ABSTRACT In a previous paper,[8] the authors show that there are two main classes of commutative baric -algebras satisfying an equation of the form , where are scalars in the base field . They appear as references (1) and (2) in the body of this paper. Some properties of these classes of algebras are also established in that paper.
Costa, R, Suazo, A
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Maximizing Algebraic Connectivity via Minimum Degree and Maximum Distance
IEEE Access, 2018 Algebraic connectivity, the second smallest eigenvalue of the graph Laplacian matrix, is a fundamental performance measure in various network systems, such as multi-agent networked systems.
Gang Li +3 more
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Algebraic cycles of a fixed degree [PDF]
Proceedings of the American Mathematical Society, 2010 In this paper, the homotopy groups of Chow variety C p ,
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Similarity Degree of a Class of C $${^*}$$ ∗ -Algebras [PDF]
Integral Equations and Operator Theory, 2015 arXiv admin note: text overlap with arXiv:1407 ...
Wenhua Qian, Junhao Shen
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 Since Geronimo Cardano, algebraic equations of degree 4 have been solved analytically. Frequently, the solution algorithm is given in its entirety. We discovered two algorithms that lead to the same resolvente, each with two solutions; therefore, six ...
Norbert Südland +2 more
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Necessary and sufficient conditions for the existence of invariant algebraic curves
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
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DEGREE OF SATISFIABILITY IN HEYTING ALGEBRAS
The Journal of Symbolic LogicAbstractWe investigate degree of satisfiability questions in the context of Heyting algebras and intuitionistic logic. We classify all equations in one free variable with respect to finite satisfiability gap, and determine which common principles of classical logic in multiple free variables have finite satisfiability gap.
Benjamin Merlin Bumpus, Zoltan A. Kocsis
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