Results 101 to 110 of about 1,203,239 (192)

Modulo 2 periodicity of complex Clifford algebras and electromagnetic field [PDF]

arXiv, 1997
Electromagnetic field is considered in the framework of Clifford algebra $\C_2$ over a field of complex numbers. It is shown here that a modulo 2 periodicity of complex Clifford algebras may be connected with electromagnetic field.
arxiv  

waring's problem for algebraic number fields and primes of the form $(p^{r} - 1)/(p^{r} - 1)$ [PDF]

, 1962
Paul T. Bateman, Rosemarie M. Stemmler
openalex   +1 more source

A history of Galois fields

Khronos, 2016
This paper stresses a specific line of development of the notion of finite field, from Évariste Galois’s 1830 “Note sur la théorie des nombres,” and Camille Jordan’s 1870 Traité des substitutions et des équations algébriques, to Leonard Dickson’s 1901 ...
Frédéric BRECHENMACHER
doaj  

Some theorems on prime ideals in algebraic number fields [PDF]

, 1963
G. J. Rieger
openalex   +1 more source

K-theory for Leavitt path algebras: computation and classification [PDF]

arXiv, 2014
We show that the long exact sequence for K-groups of Leavitt path algebras deduced by Ara, Brustenga, and Cortinas extends to Leavitt path algebras of countable graphs with infinite emitters in the obvious way. Using this long exact sequence, we compute explicit formulas for the higher algebraic K-groups of Leavitt path algebras over certain fields ...
arxiv  

Inequalities for ideal bases in algebraic number fields [PDF]

, 1964
K. Mahler
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Naturally graded p-filiform associative algebras [PDF]

arXiv
In the paper, we describe $n$-dimensional naturally graded nilpotent associative algebras with the characteristic sequence $C(\mathcal{A})=(n-p,1,\dots,1)$ as called $p-$filiform algebras over the field of the complex numbers.
arxiv  

On the genera of quadratic and hermitian forms over an algebraic number field [PDF]

, 1963
Vidit Nanda
openalex   +1 more source

Oscillatory integrals with phases arising from algebraic number fields [PDF]

arXiv
We develop a theory of oscillatory integrals whose phase is given by the trace of a polynomial over an algebraic number field. We present an application to the singular integral for a version of Tarry's problem for algebraic integers.
arxiv  

Algebraic Differential Characters [PDF]

arXiv, 1996
We give a construction of algebraic differential characters, receiving classes of algebraic bundles with connection, lifitng the Chern-Simons invariants defined with S. Bloch, the classes in the Chow group and the analytic secondary invariants if the variety is defined over the field of complex numbers.
arxiv