2012/05/09 by C. L. Wangneo, Wangneo, C. L.
Mathematics · #16Dxx #16Pxx #16XX #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16Dxx #msc:16Pxx #msc:16XX
paper · pdf · doi:10.48550/arxiv.1205.2116
15 pages
arxiv created 2012/05/09 · openalex publication_date 2012/05/09 · arxiv updated 2012/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove our main theorem, namely, theorem (8), which states that a link Q\rightarrowP, of prime ideals Q and P of a noetherian ring R that are σ-semistable with respect to a fixed automorphism σ of R, induces a link Q0\rightarrowP0 of the semiprime ideals Q0 and P0 of the ring R,where Q0 and P0 are the largest σ- invariant or σ- stable ideals contained in the prime ideals Q and P. We also prove a converse to this theorem.