Article ID Journal Published Year Pages File Type
9493515 Journal of Algebra 2005 7 Pages PDF
Abstract
For a module MR we compute the set of associated primes of M[x;σ] over the left Ore extension R[x;σ] for any surjective endomorphism σ of R. This result leads to necessary and sufficient conditions under which the associated primes of M[x;σ] 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;σ] and include several illustrative examples.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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