Results 71 to 80 of about 39,323 (189)
New Zealand Geological Timescale 2025
New Zealand Geological Timescale 2025 (NZGT 2025) is the first comprehensive update and revision of the New Zealand Geological Timescale in a decade. The criteria used to establish age ranges of New Zealand Stages within the NZGT have been reviewed, calibrated, and revised where required against the 2023/04 International Chronostratigraphic Chart and ...
Christopher D. Clowes +13 more
wiley +1 more source
Galois extensions induced by a central idempotent in a partial Galois extension
Let (R,α) be a partial Galois extension of RαG with a partial action of a finite group G, e a non-zero central idempotent in R, 1g the central idempotent associated with g ∈ G, and E = e(Πg∈G1g) 6= 0 with a maximal number of factors 1g for g ∈ G. A sufficient condition for a Galois extension Re with Galois group H(e) and for a Galois extension RE with ...
Xiao-Long Jiang, George Szeto
openaire +1 more source
Simplification of exponential factors of irregular connections on P1${\mathbb {P}}^1$
Abstract We give an explicit algorithm to reduce the ramification order of any exponential factor of an irregular connection on P1$\mathbb {P}^1$, using the same types of basic operations as in the Katz–Deligne–Arinkin algorithm for rigid irregular connections.
Jean Douçot
wiley +1 more source
On generalized quaternion algebras
Let B be a commutative ring with 1, and G(={σ}) an automorphism group of B of order 2. The generalized quaternion ring extension B[j] over B is defined by S. Parimala and R.
George Szeto
doaj +1 more source
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley +1 more source
On Galois projective group rings
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
doaj +1 more source
Hopf algebroids and Galois extensions
19 pages, to appear in the Bulletin of the Belgian Mathematical Society - Simon Stevin in approx.
openaire +4 more sources
Torus partition function of the six-vertex model from algebraic geometry
We develop an efficient method to compute the torus partition function of the six-vertex model exactly for finite lattice size. The method is based on the algebro-geometric approach to the resolution of Bethe ansatz equations initiated in a previous work,
Jesper Lykke Jacobsen +2 more
doaj +1 more source
Multiplicative Groups of Galois Extensions
The author obtains the following interesting results: Theorem. Let \(K\) be a Galois extension of \(k\) with Galois group \(G\) and suppose that \(G\) contains two dihedral subgroups \(D_ p\) and \(D_ q\) for distinct odd primes \(p\), \(q\). Then if \(F_ 1,\dots, F_ N\) are the maximal proper subfields of \(K/k\) then \(K^ \times= F_ 1^ \times \dots ...
openaire +1 more source
On free ring extensions of degree n
Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of B), and {1,x…,xn−1} is a basis.
George Szeto
doaj +1 more source

