Results 31 to 40 of about 257,548 (253)
Let $KQ$ 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]
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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Free integro-differential algebras and Groebner-Shirshov bases [PDF]
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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CQ *-algebras of measurable operators
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]
LaTeX, 14 pages, no ...
Silvestrov, Sergei +2 more
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SymmetryâImposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
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_(α,ÎČ) Antagonistic Intuitionistic Fuzzy Sub Commutative Ideals of Subtraction G-Algebra
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
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
The non-commutative standard model [PDF]
In this work aspects of the classical Connes-Lott non-commutative standard model are examined. In particular the relationship between the chiral structure of the standard model and the condition of Poincaré Duality is investigated.
Asquith, Rebecca, Asquith, R.
core
A case study in bigraded commutative algebra [PDF]
We study the commutative algebra of three bihomogeneous polynomials p_0,p_1,p_2 of degree (2,1) in variables x,y;z,w, assuming that they never vanish simultaneously on P^1 x P^1. Unlike the situation for P^2, the Koszul complex of the p_i is never exact.
Schenk, Hal +2 more
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