Results 31 to 40 of about 263,419 (231)
Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li +5 more
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation
Scientific Annals of Computer Science, 2023 The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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Journal of Pure and Applied AlgebraLet $KQ$ be a path algebra, where $Q$ is a finite quiver and $K$ is a field. We study $KQ/C$ where $C$ is the two-sided ideal in $KQ$ generated by all differences of parallel paths in $Q$. We show that $KQ/C$ is always finite dimensional and its global dimension is finite.
Edward L. Green, Sibylle Schroll
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On commutativity of C*-algebras [PDF]
Glasgow Mathematical Journal, 1987 Two numerical characterizations of commutativity for C*-algebra (acting on the Hilbert space H) were given in [1]; one used the norms of self-adjoint operators in (Theorem 2), and the other the numerical index of (Theorem 3). In both cases the proofs were based on the result of Kaplansky which states that if the only nilpotent operator in is 0 ...
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CQ *-algebras of measurable operators
Moroccan Journal of Pure and Applied Analysis, 2022 We study, from a quite general point of view, a CQ*-algebra (X, đ0) possessing a sufficient family of bounded positive tracial sesquilinear forms. Non-commutative L2-spaces are shown to constitute examples of a class of CQ*-algebras and any abstract CQ ...
Triolo Salvatore
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Algebraic Dependence of Commuting Elements in Algebras [PDF]
, 2008 LaTeX, 14 pages, no ...
Silvestrov, Sergei +2 more
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The Hafnian and a Commutative Analogue of the Grassmann Algebra [PDF]
, 2018 A close relationship between the determinant, the pfaffian, and the Grassmann algebra is well-known. In this paper, a similar relation between the permanent, the hafnian, and a commutative analogue of the Grassmann algebra is described. Using the latter,
Efimov, Dmitry
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SymmetryâImposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified groupâtheory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spinâorbit vortex splitting and multidimensional nested vortices, confirmed by phaseâresolved in situ measurements.
Jie Yang +14 more
wiley +1 more source
G_(ι,β) Antagonistic Intuitionistic Fuzzy Sub Commutative Ideals of Subtraction G-Algebra
Ratio Mathematica, 2022 The notions of  over antagonistic intuitionistic fuzzy sub commutative ideals of subtraction G-algebras are introduced. The characterization properties of antagonistic intuitionistic fuzzy sub commutative ideals are obtained. We investigate the relations
B Lena, C Ragavan
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Updatable ClosedâForm Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reducedâorder multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closedâform framework enabling efficient Woodbury lowârank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source