JP Journal of Algebra, Number Theory and Applications
Volume 1, Issue 2, Pages 143 - 165
(August 2001)
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ON
THE SUBRESULTANT CHAIN IN VIEW OF THE PSEUDODIVISION
Shigeru Kobayashi (Japan) and Ryugo Yoshikawa (Japan)
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Abstract: Loos
has shown that the elements of the
subresultant chain of two one variable
polynomials in a commutative ring with
identity are expressed by the other and their
nominal leading coefficients. We shall study
the method of computing those elements in view
of pseudodivision and finding a common divisor
of two polynomials. As in the case of one
variable polynomials, we also study the method
on several variables. |
Keywords and phrases: pseudodivision,
subresultant chain, Gröbner basis. |
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