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On A Certain Krull Symmetry Of a Noetherian Ring

2011/10/14 by C. L. Wangneo, Wangneo, C. L.
Mathematics · Physics and Astronomy · #13Exx #16xx #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA #msc:13Exx #msc:16xx

paper · pdf · doi:10.48550/arxiv.1110.3175

8 pages

openalex publication_date 2011/10/14 · arxiv created 2011/12/06 · arxiv updated 2011/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we show that if a noetherian ring R is left and right Krull-homogenous and if: Λ=P\textexclamdown ε spec.R/ |R/P\textexclamdown|r =|R|r and v =Qj ε spec.R| |R/Qj|l=|R|l and P =∩ P\textexclamdownε ΛP\textexclamdown and Q = ∩ QjεVQj then the following hold true; (1) Pn =0, for some integer n≥1 (2) Λ=v

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