splitting field


Also found in: Wikipedia.

splitting field

[′splid·iŋ ‚fēld]
(mathematics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The outline of this paper is as follows: In Section 2, we show that the splitting field of the polynomial f (a, x) is a [C.sub.4] [??] [C.sub.2]-extension over the function field Q(a).
Splitting Field and Wallett for second place was another Sunderland Harrier, Tom Doughty.
The company adopted a team-based tactic toward customer service by splitting field, office, and sales staff into cross-disciplinary teams of roughly 30 people each, who are responsible as a group for specific buyers.
For fixed exponent we are able to vary the index, and for fixed index we provide a lower and upper bound for the degree of a smallest abelian splitting field. All of the examples are division algebra representatives of algebras of the form A [cross product] [delta]([chi]), where A is a k-division algebra and [delta]([chi]) is the cyclic k(t) or k((t))-division algebra defined by a character [chi] of the absolute Galois group of k.
c) Let L be the minimal splitting field of [G.sub.0].
Roughly speaking, the parameter [lambda] = ([p.sub.i];[q.sub.j]) forms a fundamental system of W([E.sub.6])-invariants in the covering space for the splitting field of the Mordell-Weil lattice of S[lambda] (or the Neron-Severi lattice of V[lambda]).
similar 5 Fortressa Cotto/Williamson 5-1 Back to better level 6 Annie Time Girl Meza/Ryan 8-1 Meets easiest this year 1 Victory Rose SSpanabl/Perez 8-1 Been splitting fields 3 Hero Alexandra Santiago/Bahena 10-1 Closes occasionally 4 Shes Just Capital Ulloa/Hughes 20-1 Been tiring late 2.
"It is often difficult to get farmers to commit to measuring pasture and splitting fields to increase utilisation at this point in the year," he added.
They place the roots of its characteristic polynomial in an appropriate splitting fields. Renault [15] examined the behaviour of the (a, b)-Fibonacci sequence under a modulus.
They introduce the theory of central simple algebras at a level accessible to graduate mathematics students, starting from scratch and including fundamental concepts such as splitting fields, Bayer group, crossed-product algebras, index and exponent, and algebras with involution.