algebraic object

algebraic object

[¦al·jə¦brā·ik ′äb‚jekt]
(mathematics)
Either an algebraic structure, such as a group, ring, or field, or an element of such an algebraic structure.
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The question of geometric realization is whether or not a particular algebraic object has a corresponding geometric analogue.
This time the resulting algebraic object is called a local role algebra.
We say that some algebraic objects defined over an infinite global field k locally have a property P if for all places v [member of] [V.
Non-commutative algebraic geometry is concerned with the study of algebraic objects in geometric ways.
He takes a quantum groups approach (rather than Chern-Simons field theory or 2-dimensional conformal field theory) in order to derive invariants of knots and 3-manifolds from algebraic objects which formalize the properties of modules over quantum groups at roots of unity.
Algebraic insight can become a focus of classroom conversations which help students get an overall feeling of algebraic objects.
To inspire researchers at all levels to investigate algebraic questions posed by design theory, they provide a large selection of the algebraic objects and applications to be found in design theory.
His topics include quantum angular momentum, including combinatorial features, composite systems, including binary coupling theory, graphs and adjacency diagrams, including nonisomorphic trivalent trees and cubic graphs, generating functions, the form of certain polynomials, operator actions in Hilbert space, structure of certain polynomials, the general linear and unitary groups, tensor operator theory, basic algebraic objects, and combinatorial objects.

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