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A Construction Of Primitive Polynomials Over Finite Fields
(Taylor and Francis Ltd., 2017)
Group algebras whose units satisfy a laurent polynomial identity
(Springer, 2019)
POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2008)
We investigate polynomial identities on an alternative loop algebra and group identities on its (Moufang) unit loop. An alternative loop ring always satisfies a polynomial identity, whereas whether or not a unit loop ...
Non commutative truncated polynomial extensions
(Elsevier Science, 2012-06)
We introduce the notion of non commutative truncated polynomial extension of an algebra A. We study two families of these extensions. For the first one we obtain a complete classification and for the second one, which we ...
Duo, quasi-duo and ascending chain condition principal properties over skew PBW extensions
(2018-01)
Ore extensions (introduced by Ore [33]) have been one of the most studied non-commutative structures in the last century. The skew polynomial rings (see Definition 1.1.1) are an Ore extensions that thanks to its similarity ...
Algebraic lattices via polynomial rings
(2019-12-01)
Signal constellations having lattice structure have been studied as meaningful means for signal transmission over Gaussian channel. Usually the problem of finding good signal constellations for a Gaussian channel is ...
Algunos aspectos algebraicos y computacionales en anillos polinomiales torcidos multivariables = Some algebraic and computational aspects in multivariate skew polynomial rings.
(Universidad de Concepción.Facultad de Ciencias Físicas y Matemáticas, 2022)
Skew polynomial rings F[x; σ, δ] with coefficients over a division ring F (Definition 1.1.6),
were introduced in [27] by Oystein Ore (1933), as a non-commutative generalization of
the conventional polynomial rings. The ...
A group action on multivariate polynomials over finite fields
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAUFMG, 2018)
Seja Fq o corpo finito com q elementos, onde q é a potência de um primo p. Recentemente, uma ação particular do grupo GL2 (Fq) sobre polinômios irredutíveis em Fq [X] foi introduzida e muitas questões relativas aos polinômios ...