scientific article; zbMATH DE number 1166349

zbMath0898.16004MaRDI QIDQ4396664

A. I. Generalov, M. V. Zheludev

Publication date: 22 June 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

projective modulesclassical rings of quotientsdirect sums of finitely generated modulesstacked bases theoremindecomposable submoduleshereditary prime ringssimultaneous decompositionsmodules over bounded Dedekind prime ringscategories of modules over Dedekind domainsessential one sided ideals

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Prime and semiprime associative rings (16N60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (2)

Stacked decomposition theorem for modules over serial left Noetherian rings ⋮ Generalized “stacked bases” theorem for modules over semiperfect rings

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