On \({\mathbb{Z}}\)-valued additive functions on module category

DOI10.3792/PJAA.61.51zbMath0588.13009OpenAlexW2036970020MaRDI QIDQ1073100

Takao Irite

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.51

zbMATH Keywords

additive functionnoetherian ringGrothendieck group of the category of modules

Mathematics Subject Classification ID

Grothendieck groups (category-theoretic aspects) (18F30) Homological methods in commutative ring theory (13D99)

Related Items (1)

Length functions, multiplicities and algebraic entropy

Cites Work

• Codimension and multiplicity
• Algèbre locale. Multiplicités. Cours au College de France, 1957 - 1958. Redige par Pierre Gabriel. 3e ed
• A GENERALIZATION OF THE CONCEPT OF LENGTH
• ADDITIVE FUNCTIONS AND DUALITY OVER NOETHERIAN RINGS
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