Relative primeness of two polynomials
β Scribed by Ruey-Wen Liu; Seguin, G.
- Book ID
- 117913664
- Publisher
- IEEE
- Year
- 1975
- Weight
- 246 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0098-4094
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π SIMILAR VOLUMES
Let a and b be two polynomials having numerical coefficients. We consider the question: When are a and b relatively prime? Since the coefficients of a and b are approximant, the question is the same as: When are two polynomials relatively prime, even after small perturbations of the coefficients? I
## Ε½ . I RESULT Let R be an associative ring. An element r g R is said to be nilpotent if r n s 0 for some integer n G 1. A subset S of R is called nil if all r g S are nilpotent. It is easy to see that R has no nil right ideals if and only if R has no nil left ideals. Nil right ideals or nil left