Results 41 to 50 of about 316,648 (204)

NEUTROSOPHIC RINGS [PDF]

, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy, Kandasamy, W.B. Vasantha, Smarandache, Florentin   +2 more
core   +1 more source

Abelian number fields with frobenian conditions

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley   +1 more source

Projective modules of group rings over quadratic number fields [PDF]

, 1994
Let K be a quadratic number field, Ok its ring of integers, and G a cyclic group of order prime p. In this thesis, we study the kernel group D(O(_K)G) and obtain a number of results concerning its order and structure. For K imaginary, we also investigate
Ahmed, Iftikhar
core  

Inversive pseudorandom numbers over Galois rings [PDF]

, 2009
We provide a new construction of nonlinear pseudorandom number generators. We use the inversive method over Galois rings. This generalizes to the common setting of Galois rings both the works of Niederreiter et al.
Zinoviev, Dmitrii, Solé, Patrick
core   +1 more source

On the Existential Theory of the Completions of a Global Field

Mathematische Nachrichten, Volume 299, Issue 9, Page 2680-2692, September 2026.
ABSTRACT We discuss the common existential theory of all or almost all completions of a global function field.
Philip Dittmann, Arno Fehm
wiley   +1 more source

Full Classification of Finite Singleton Local Rings

Axioms
The main objective of this article is to classify all finite singleton local rings, which are associative rings characterized by a unique maximal ideal and a distinguished basis consisting of a single element.
Sami Alabiad, Yousef Alkhamees
doaj   +1 more source

Modular analogs of character formulas and minimal lifts of modular forms

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley   +1 more source

On the Galois module structure of units in met acyclic extensions [PDF]

, 1996
Let Г be a metacyclic group of order pq with p and q prime. We shall show that the Г-cohomology and character of a Г-lattice determine its genus. Let N/L be a Galois extension with group Г, then U(_N), the torsion-free units of N, is a Г-lattice and the ...
McGaul, K.Y., McGaul, Karen Yvonne
core  

Galois structure of Zariski cohomology for weakly ramified covers of curves

, 2004
We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani's computation of the Galois module structure of the space of global meromorphic ...
Koeck, Bernhard
core   +1 more source

On certain classes of Galois extensions of rings

International Journal of Mathematics and Mathematical Sciences, 2001
Relations between the following classes of Galois extensions are given: (1) centrally projective Galois extensions (CP-Galois extensions), (2) faithfully Galois extensions, and (3) H-separable Galois extensions.
George Szeto, Lianyong Xue
doaj   +1 more source