Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book prese...
Series: New Mathematical Monographs (Book 3)
Hardcover: 594 pages
Publisher: Cambridge University Press; 1 edition (July 3, 2006)
Product Dimensions: 6.3 x 1.3 x 9.2 inches
Amazon Rank: 4425631
Format: PDF ePub TXT ebook
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