On separable and H-separable polynomials of degree p in skew polynomial rings

Sh Ûichi Ikehata

On separable and H-separable polynomials of degree p in skew polynomial rings

Sh Ûichi Ikehata

Research output: Contribution to journal › Article › peer-review

Abstract

Let B be a ring with identity 1, D a derivation of B, and B[X; D] the skew polynomial ring such that αX = Xα + D(α) for each a S B. Assume that B is a ring of prime characteristic p. Let f = X^p -Xa -b ∈ B[X; D] such that f B[X; D] = B[X; D] f. We study separability and H-separablity of f.

Original language	English
Pages (from-to)	149-156
Number of pages	8
Journal	International Journal of Pure and Applied Mathematics
Volume	51
Issue number	1
Publication status	Published - Dec 1 2009

Keywords

Derivation
H-separable polynomial
Separable polynomial
Skew polynomial ring

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Cite this

@article{01d13d27b9c64a7185f722be3f8f946d,

title = "On separable and H-separable polynomials of degree p in skew polynomial rings",

abstract = "Let B be a ring with identity 1, D a derivation of B, and B[X; D] the skew polynomial ring such that αX = Xα + D(α) for each a S B. Assume that B is a ring of prime characteristic p. Let f = Xp -Xa -b ∈ B[X; D] such that f B[X; D] = B[X; D] f. We study separability and H-separablity of f.",

keywords = "Derivation, H-separable polynomial, Separable polynomial, Skew polynomial ring",

author = "Ikehata, {Sh {\^U}ichi}",

year = "2009",

month = dec,

day = "1",

language = "English",

volume = "51",

pages = "149--156",

journal = "International Journal of Pure and Applied Mathematics",

issn = "1311-8080",

publisher = "Academic Publications Ltd.",

number = "1",

}

TY - JOUR

T1 - On separable and H-separable polynomials of degree p in skew polynomial rings

AU - Ikehata, Sh Ûichi

PY - 2009/12/1

Y1 - 2009/12/1

N2 - Let B be a ring with identity 1, D a derivation of B, and B[X; D] the skew polynomial ring such that αX = Xα + D(α) for each a S B. Assume that B is a ring of prime characteristic p. Let f = Xp -Xa -b ∈ B[X; D] such that f B[X; D] = B[X; D] f. We study separability and H-separablity of f.

AB - Let B be a ring with identity 1, D a derivation of B, and B[X; D] the skew polynomial ring such that αX = Xα + D(α) for each a S B. Assume that B is a ring of prime characteristic p. Let f = Xp -Xa -b ∈ B[X; D] such that f B[X; D] = B[X; D] f. We study separability and H-separablity of f.

KW - Derivation

KW - H-separable polynomial

KW - Separable polynomial

KW - Skew polynomial ring

UR - http://www.scopus.com/inward/record.url?scp=78649765023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649765023&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:78649765023

SN - 1311-8080

VL - 51

SP - 149

EP - 156

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 1

ER -

On separable and H-separable polynomials of degree p in skew polynomial rings

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this