Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493515 | Journal of Algebra | 2005 | 7 Pages |
Abstract
For a module MR we compute the set of associated primes of M[x;Ï] over the left Ore extension R[x;Ï] for any surjective endomorphism Ï of R. This result leads to necessary and sufficient conditions under which the associated primes of M[x;Ï] are precisely the extensions of the associated primes of M. We relate these results to previous work regarding the propagation of prime ideals of R[x;Ï] and include several illustrative examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
H. Nordstrom,