Results 11 to 20 of about 227 (94)
A new faster algorithm for factoring skew polynomials over finite fields
, 2017 International audienceIn this paper, we provide an algorithm for the factorization of skew polynomials over finite fields. It is faster than the previously known algorithm, which was due to Giesbrecht (1998). There are two main improvements.
Le Borgne, Jérémy, Caruso, Xavier
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LÜROTH'S AND IGUSA'S THEOREMS OVER DIVISION RINGS [PDF]
Let H be a division ring of finite dimension over its center, let H[T] be the ring of polynomials in a central variable over H, and let H(T) be its quotient skew field.
Paran, Elad, Legrand, François
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L\"uroth's and Igusa's theorems over Division Rings
, 2023 Let $H$ be a division ring of finite dimension over its center, let $H[T]$ be the ring of polynomials in a central variable over $H$, and let $H(T)$ be its quotient skew field.
Paran, Elad, Legrand, François
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Valuations on Extensions of Weyl Skew Fields
, 1996 Letk⊂Kbe a finitely generated field extension of transcendence degree 1. Consider the corresponding extension D1(k)⊂D1(K) of skew fields of the first Weyl algebra.
Van Oystaeyen, Freddy +2 more
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A crossed product of a skew field of quaternions and four-group
Журнал Белорусского государственного университета: Математика, информатика, 2018 The article considers construction of generalized crossed product of an arbitrary quaternions skew field and Klein four-group relative to factor system. It is well known that such crossed product is semisimple ring.
Valery V. Kursov
doaj
On free subalgebras of certain division algebras
, 1986 Using ideas of Makar-Limanov, we construct noncommutative free subalgebras in certain division algebras which arise as fields of fractions of skew polynomial rings. Our result applies in particular to the Weyl division algebra D
Martin Lorenz
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Fields, meadows and abstract data types
, 2008 Fields and division rings are not algebras in the sense of "Universal Algebra", as inverse is not a total function. Mending the inverse by any definition of 0(-1) will not suffice to axiomatize the axiom of inverse x(-1) · x = 1, by an equation.
Bergstra, J., Tucker, J., Hirschfeld, Y.
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On Nonmodular Periodic Finitary Linear Groups
, 2000 Very recently M. S. Lucido proved that for any prime p, a periodic finitary linear p′-group G of characteristic p is isomorphic to some finitary linear group G0 of characteristic zero. Moreover G0 can be chosen to be irreducible whenever G is irreducible.
Wehrfritz, B.A.F.
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bases involutivas y SAGBI para extensiones PBW torcidas
, 2023 ilustraciones, diagramasIn this thesis, we study homological properties and SAGBI and Involutive bases of the noncommutative rings known as skew PBW extensions.
Suárez Gómez, Yésica Paola
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Faithful representations of free products
, 1997 In 1940 Nisnevic̆ published the following theorem [3]. Let (Gα)α∈Λ be a family of groups indexed by some set Λ and (Fα)α∈Λ a family of fields of the same characteristic p≥0.
Minty, John
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