Finitistic dimension and Ziegler spectrum

DOI10.1090/S0002-9939-98-04170-7zbMath0902.16008OpenAlexW1518313130MaRDI QIDQ4383084

Henning Krause

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04170-7

zbMATH Keywords

finitely generated modulesprojective dimensionArtinian ringslittle finitistic dimensionfinitistic dimensionZiegler spectrumindecomposable pure-injective modulesNunke conditionNunke dimension

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items

Unnamed Item, Torsion pairs and cosilting in type \(\tilde{A}\), The finitistic dimension of an Artin algebra with radical square zero, The depth, the delooping level and the finitistic dimension

Cites Work

• Unnamed Item
• Some generalizations of finite projective dimension
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• Homological domino effects and the first finitistic dimension conjecture
• A homological bridge between finite and infinite-dimensional representations of algebras
• Applications of contravariantly finite subcategories
• The supremum of the difference between the big and little finitistic dimensions is infinite
• Locally finitely presented additive categories
• The Ziegler Spectrum of a Locally Coherent Grothendieck Category
• Duality in Noetherian Rings