Results 31 to 40 of about 257,548 (253)

The commuting algebra

open access: yesJournal of Pure and Applied Algebra
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
openaire   +3 more sources

On commutativity of C*-algebras [PDF]

open access: yesGlasgow 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 ...
openaire   +2 more sources

Free integro-differential algebras and Groebner-Shirshov bases [PDF]

open access: yes, 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
core   +1 more source

CQ *-algebras of measurable operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
We study, from a quite general point of view, a CQ*-algebra (X, 𝖀0) 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
doaj   +1 more source

Algebraic Dependence of Commuting Elements in Algebras [PDF]

open access: yes, 2008
LaTeX, 14 pages, no ...
Silvestrov, Sergei   +2 more
openaire   +2 more sources

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

open access: yesAdvanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang   +14 more
wiley   +1 more source

G_(α,ÎČ) Antagonistic Intuitionistic Fuzzy Sub Commutative Ideals of Subtraction G-Algebra

open access: yesRatio 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
doaj   +1 more source

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

open access: yesAdvanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source

The non-commutative standard model [PDF]

open access: yes, 1996
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]

open access: yes, 2007
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
core   +1 more source

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