ADDITIVE FUNCTIONS AND DUALITY OVER NOETHERIAN RINGS

DOI10.1093/qmath/19.1.43zbMath0153.37101OpenAlexW2041349246MaRDI QIDQ5534352

Peter Vámos

Publication date: 1968

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/19.1.43

zbMATH Keywords

commutative rings

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05)

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Entropy on abelian groups ⋮ Algebraic entropy of amenable group actions ⋮ The addition theorem for algebraic entropies induced by non-discrete length functions ⋮ Two new proofs concerning the intrinsic algebraic entropy ⋮ Algebraic entropy for amenable semigroup actions ⋮ A soft introduction to algebraic entropy ⋮ Algebraic entropy for valuation domains ⋮ New and old facts about entropy in uniform spaces and topological groups ⋮ Entropy in a category ⋮ Multiplicative invariants and length functions over valuation domains ⋮ Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups ⋮ Decomposition and classification of length functions ⋮ Almost Dedekind domains without radical factorization ⋮ Length Functions over Prüfer Domains ⋮ Unnamed Item ⋮ On Adjoint Entropy of Abelian Groups ⋮ Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey ⋮ On the relation between length functions and exact Sylvester rank functions ⋮ Length functions, multiplicities and algebraic entropy ⋮ Intrinsic algebraic entropy ⋮ Sofic mean length ⋮ Entropy on normed semigroups (towards a unifying approach to entropy) ⋮ The Mal'cev Rank for Modules over Pseudo-Valuation Domains ⋮ On \({\mathbb{Z}}\)-valued additive functions on module category

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