On separable and H-separable polynomials in skew polynomial rings of several variables

Let B be a ring with 1, and {ρ1,⋯,ρe} a set of automorphisms of B. Let B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] be the skew polynomial ring of automorphism type. In this paper, we shall give equivalent conditions that the residue ring of B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] by the ideal generated by a set {Xm11−u1,⋯,Xmee−ue} t...

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Опубліковано в: :Algebra and Discrete Mathematics
Дата:2010
Автор: Ikehata, S.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут прикладної математики і механіки НАН України 2010
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/154870
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:On separable and H-separable polynomials in skew polynomial rings of several variables / S.Ikehata // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 87–85. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Ikehata, S.
author_facet Ikehata, S.
citation_txt On separable and H-separable polynomials in skew polynomial rings of several variables / S.Ikehata // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 87–85. — Бібліогр.: 13 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description Let B be a ring with 1, and {ρ1,⋯,ρe} a set of automorphisms of B. Let B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] be the skew polynomial ring of automorphism type. In this paper, we shall give equivalent conditions that the residue ring of B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] by the ideal generated by a set {Xm11−u1,⋯,Xmee−ue} to be separable or H-separable over B.
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spelling Ikehata, S.
2019-06-16T05:53:48Z
2019-06-16T05:53:48Z
2010
On separable and H-separable polynomials in skew polynomial rings of several variables / S.Ikehata // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 87–85. — Бібліогр.: 13 назв. — англ.
2000 Mathematics Subject Classification:16S30, 16W20
https://nasplib.isofts.kiev.ua/handle/123456789/154870
Let B be a ring with 1, and {ρ1,⋯,ρe} a set of automorphisms of B. Let B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] be the skew polynomial ring of automorphism type. In this paper, we shall give equivalent conditions that the residue ring of B[X1,⋯,Xe;ρ1,⋯,ρe;{uij}] by the ideal generated by a set {Xm11−u1,⋯,Xmee−ue} to be separable or H-separable over B.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On separable and H-separable polynomials in skew polynomial rings of several variables
Article
published earlier
spellingShingle On separable and H-separable polynomials in skew polynomial rings of several variables
Ikehata, S.
title On separable and H-separable polynomials in skew polynomial rings of several variables
title_full On separable and H-separable polynomials in skew polynomial rings of several variables
title_fullStr On separable and H-separable polynomials in skew polynomial rings of several variables
title_full_unstemmed On separable and H-separable polynomials in skew polynomial rings of several variables
title_short On separable and H-separable polynomials in skew polynomial rings of several variables
title_sort on separable and h-separable polynomials in skew polynomial rings of several variables
url https://nasplib.isofts.kiev.ua/handle/123456789/154870
work_keys_str_mv AT ikehatas onseparableandhseparablepolynomialsinskewpolynomialringsofseveralvariables