2007/02/01 by V. V. Bavula, Bavula, V. V.
Mathematics · #16P40 #16P70 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.AG #math.RA #msc:16P40 #msc:16P70
paper · pdf · doi:10.48550/arxiv.math/0702028
17 pages
arxiv created 2007/02/01 · openalex publication_date 2007/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two constructions are given that describe respectively all shortest primary decompositions and all shortest uniform decompositions for left Noetherian rings. They show that these decompositions are, in general, highly non-unique.