Descending chains of submodules and the Krull-dimension of noetherian modules

DOI10.1016/0022-4049(73)90039-XzbMath0275.16020MaRDI QIDQ2265490

Günter Krause

Publication date: 1973

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10)

Related Items (17)

On the Countability of Noetherian Dimension of Modules ⋮ When does length equal dimension? ⋮ Unnamed Item ⋮ Right noetherian rings integral over their centers ⋮ Δ-modules and prime links ⋮ Primary decomposition in right noetherian rings ⋮ Additive rank functions in Noetherian rings ⋮ Dimension on non-essential submodules ⋮ The deviation, density, and depth of partially ordered sets ⋮ The theory of ordinal length ⋮ Artinian Serial Modules over Commutative (or, Left Noetherian) Rings are at Most One Step Away from Being Noetherian ⋮ THE SPACE OF FINITELY GENERATED RINGS ⋮ Transfinite powers of the jacobson radical ⋮ Krull dimension of generalized Weyl algebras with noncommutative coefficients ⋮ Lengths of submodule chains versus Krull dimension in non-Noetherian modules ⋮ Relative critical composition series ⋮ On $alpha $-semi-Short Modules

Cites Work

• A theory of length for Noetherian modules
• On the Krull-dimension of left noetherian left Matlis-rings
• Descending chains and the Krull ordinal of commutative Noetherian rings
• On fully left bounded left Noetherian rings
• Krull dimension

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