IJPAM: Volume 51, No. 1 (2009)
ON SEPARABLE AND
-SEPARABLE POLYNOMIALS
OF DEGREE
IN SKEW POLYNOMIAL RINGS

OF DEGREE

Shûichi Ikehata
Department of Environmental and Mathematical Sciences
Faculty of Environmental Science and Technology
Okayama University
Tsushima, Okayama, 700-8530, JAPAN
e-mail: ikehata@ems.okayama-u.ac.jp
Department of Environmental and Mathematical Sciences
Faculty of Environmental Science and Technology
Okayama University
Tsushima, Okayama, 700-8530, JAPAN
e-mail: ikehata@ems.okayama-u.ac.jp
Abstract.Let be a ring with identity 1,
a derivation of
, and
the skew polynomial ring such that
for each
. Assume that
is a ring of prime characteristic
. Let
such that
. We study separability and
-separablity of
.
Received: January 23, 2009
AMS Subject Classification: 13N15, 16S32, 16W25
Key Words and Phrases: -separable polynomial, skew polynomial ring, separable polynomial, derivation
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 1