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SOME REMARKS ON EISENSTEIN'S CRITERION
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 Title & Authors
SOME REMARKS ON EISENSTEIN'S CRITERION
Woo, Sung-Sik;
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 Abstract
In [4] we showed that a polynomial over a Noetherian ring is divisible by some other polynomial by looking at the matrix formed by the coefficients of the polynomials which we called the resultant matrix. Using the result, we will find conditions for a polynomial over a commutative ring to be irreducible. This can be viewed as a generalization of the Eisenstein's irreducibility criterion.
 Keywords
irreducibile polynomial over a commutative ring;
 Language
English
 Cited by
 References
1.
Bourbaki, Elements of Mathematics, Algebra II, Addison-Wesley, 1973

2.
Bourbaki, Elements of Mathematics, Commutative Algebra, Addison-Wesley, 1972

3.
D. Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry, Springer-Verlag, New York Berlin, 1995

4.
S. S. Woo, Dividing polynomials using the resultant matrix, Comm. Alg. 35 (2007), 3263- 3272 crossref(new window)