Homological criteria for minimal multiplicity
DOI10.1016/j.jalgebra.2018.12.024zbMath1435.13025arXiv1803.05454OpenAlexW2616901306WikidataQ128583468 ScholiaQ128583468MaRDI QIDQ1714868
Publication date: 1 February 2019
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.05454
noncommutative algebraGorenstein algebrasKoszul algebrascommutative algebraHilbert-Samuel multiplicityYoneda algebrasminimal multiplicityAS-regular algebrasExt-algebras
Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homology of Noetherian rings and local rings
- Koszul equivalences in \(A_\infty\)-algebras.
- Cohomology over fiber products of local rings
- Modules and Golod homomorphisms
- On the cohomology of one-relator associative algebras
- Graded algebras of global dimension 3
- Hopf algebras and derivations
- Modules over regular algebras of dimension 3
- On the associated graded ring of a local Cohen-Macaulay ring
- Factoring out the socle of a Gorenstein ring
- Local rings over which all modules have rational Poincaré series
- Local Artinian rings and the Fröberg relation
- Nearly Frobenius algebras, Poincaré algebras and their modules
- On the linearity defect of the residue field
- Koszul modules
- On the deviations of a local ring.
- A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
- A set of generators for $\mathrm{Ext}_R(k,k)$.
- Koszul Algebras and Regularity
- Local Rings of High Embedding Dimension
- Homological properties of powers of the maximal ideal of a local ring
This page was built for publication: Homological criteria for minimal multiplicity