Results 101 to 110 of about 439,115 (199)

Anabelian properties of infinite algebraic extensions of finite fields

open access: yes, 2023
The Grothendieck conjecture for hyperbolic curves over finite fields was solved affirmatively by Tamagawa and Mochizuki. On the other hand, (a ``weak version'' of) the Grothendieck conjecture for some hyperbolic curves over algebraic closures of finite ...
Murotani, Takahiro
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Witt rings of infinite algebraic extensions of global fields [PDF]

open access: yes, 1998
In this paper we discuss the problem to carry over the well-known Minkowski-Hasse local-global principle to the context of an infinite algebraic extension of the rationals or the rational function fields ????q(x) over finite fields.
Kula, Mieczysław, Kozioł, Krzysztof
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Gradient structures from extensions of over-extended Kac-Moody algebras

open access: yesJournal of High Energy Physics
Over-extended Kac-Moody algebras contain so-called gradient structures — a gl d $$ \mathfrak{gl}(d) $$ -covariant level decomposition of the algebra contains strings of modules at different levels that can be interpreted as spatial gradients.
Martin Cederwall, Jakob Palmkvist
doaj   +1 more source

Algebraic Extensions of Normed Algebras

open access: yes, 2001
We compare two known methods of extending a complex, unital, commutative normed algebra so as to include solutions to sets of monic polynomials over the original algebra. (One of these is a generalisation of a construction from the thesis of B. J. Cole and only applies to uniform algebras.) An example is given to show that they can lead to essentially ...
openaire   +2 more sources

Algebraic extensions in free groups

open access: yes, 2007
35 pagesThe aim of this paper is to unify the points of view of three recent and independent papers (Ventura 1997, Margolis, Sapir and Weil 2001 and Kapovich and Miasnikov 2002), where similar modern versions of a 1951 theorem of Takahasi were given.
Ventura, Enric   +2 more
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