Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498287 | Linear Algebra and its Applications | 2005 | 6 Pages |
Abstract
We provide a concrete description of some factor rings of the polynomial ring k[X], k a field, as fields of matrices, namely of the factor rings k[X]/(Xn â X â 1) for which n is such that the polynomial Xn â X â 1 is irreducible in k[X]. These factor rings include the Galois fields GF(pn) for which Xn â X â 1 is irreducible in Zp[X]. Both MAGMA and MAPLE show that there are many such fields.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kirby C. Smith, Leon van Wyk,