On degenerations of modules.

DOI10.1016/j.jalgebra.2003.10.020zbMath1076.16014OpenAlexW1990641352MaRDI QIDQ1879664

Yuji Yoshino

Publication date: 23 September 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.020

zbMATH Keywords

Artin algebrasdegenerations of modulescategories of finite-dimensional modulesminimal degenerations

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Group actions on varieties or schemes (quotients) (14L30) Representations of associative Artinian rings (16G10)

Related Items

Triangle order \(\leq_\Delta\) in singular categories. ⋮ Degeneration of A-infinity modules ⋮ On the transitivity of degeneration of modules ⋮ Stable degenerations of Cohen-Macaulay modules ⋮ Degenerations over \((A_{\infty})\)-singularities and construction of degenerations over commutative rings ⋮ Degenerations of graded Cohen-Macaulay modules ⋮ On the stable Hom relation and stable degenerations of Cohen-Macaulay modules ⋮ DEGENERATING 0 IN TRIANGULATED CATEGORIES ⋮ Symmetry of the definition of degeneration in triangulated categories ⋮ An axiomatic approach for degenerations in triangulated categories ⋮ A topology on the set of isomorphism classes of maximal Cohen–Macaulay modules ⋮ On Ext-indices of ring extensions ⋮ Examples of degenerations of Cohen-Macaulay modules

Cites Work

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• On degenerations of Cohen-Macaulay modules
• Stable module theory