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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154870 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862665357354860544 |
|---|---|
| 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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| first_indexed | 2025-12-07T15:16:19Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-154870 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| language | English |
| last_indexed | 2025-12-07T15:16:19Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| 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 |