Results 91 to 100 of about 26,247 (147)

Divisor classes in pseudo Galois extensions [PDF]

Pacific Journal of Mathematics, 1971
Let \(R\) be a Krull domain, and let \(S\) be the integral closure of \(R\) in a finite extension of its fraction field. Assume that there is a finite cocommutative Hopf algebra \(H\) acting on \(S\) over \(R\) (in geometric terms, a finite \(R\)-group scheme acting on \(\text{Spec}\,S\)).
openaire   +2 more sources

Application of the Algebraic Extension Method to the Construction of Orthogonal Bases for Partial Digital Convolutions

Algorithms
Mathematical tools have been developed that are analogous to the tool that allows one to reduce the description of linear systems in terms of convolution operations to a description in terms of amplitude-frequency characteristics.
Aruzhan Kadyrzhan, Akhat Bakirov, Dina Shaltykova, Ibragim Suleimenov   +3 more
doaj   +1 more source

The Chromatic Fourier Transform

Forum of Mathematics, Pi
We develop a general theory of higher semiadditive Fourier transforms that includes both the classical discrete Fourier transform for finite abelian groups at height $n=0$ , as well as a certain duality for the $E_n$ -(co)homology of $\pi
Tobias Barthel, Shachar Carmeli, Tomer M. Schlank, Lior Yanovski   +3 more
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The Galois endomorphism ring of a Galois Azumaya extension

International Journal of Algebra, 2013
Let B be a Galois Azumaya extension of B G with Galois group G; that is, B is a Galois extension of B G with Galois group G which is an Azumaya C G -algebra where C is the center of B. Denote B G by D and the endomorphism ring Hom(DB, DB) of the left D-module endomorphisms of B by Ω.
Xiaolong Jiang, George Szeto
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Algorithm for Obtaining Complete Irreducible Polynomials over Given Galois Field for New Method of Digital Monitoring of Information Space

Computers
Irreducible polynomials are widely used in modern cryptography; however, algorithms for finding such polynomials remain quite complex and require significant computational resources.
Dina Shaltykova, Aliya Massalimova, Yelizaveta Vitulyova, Ibragim Suleimenov   +3 more
doaj   +1 more source

Notes on Number Theory

Mathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev, Slavi Georgiev, Venelin Todorov   +2 more
doaj   +1 more source

Extension of Size and Degree of (k,r)-Caps in PG(3,13)

Ibn Al-Haitham Journal for Pure and Applied Sciences
The aim of this work is an extension of the   -caps (  is the order, is the degree), where , in the three projective space of dimension over the Galois field of order thirteen, .
Saja Makki Attook Attook, Emad Bakr Al-Zangana   +1 more
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Extensions of tautological rings and motivic structures in the cohomology of ${\overline {\mathcal {M}}}_{g,n}$

Forum of Mathematics, Pi
We study collections of subrings of $H^*({\overline {\mathcal {M}}}_{g,n})$ that are closed under the tautological operations that map cohomology classes on moduli spaces of smaller dimension to those on moduli spaces of larger dimension and ...
Samir Canning, Hannah Larson, Sam Payne
doaj   +1 more source

Differential Galois Theory and Hopf Algebras for Lie Pseudogroups

Axioms
According to a clever but rarely quoted or acknowledged work of E. Vessiot that won the prize of the Académie des Sciences in 1904, “Differential Galois Theory” (DGT) has mainly to do with the study of “Principal Homogeneous Spaces” (PHSs) for finite ...
Jean-Francois Pommaret
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Correction to “Galois extensions” [PDF]

Proceedings of the American Mathematical Society, 1960
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