Paper Citation Record · LEDGER

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions

As of 23 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2508.20281.

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pith.paper-citation-record.v1
2508.20281 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:55:52.754070Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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External citation measurements

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Outbound references

Observation 431c32d2-57fc-4598-9e5b-f57c9fc70c96 · outbound

This paper cites Direct limits of modules of finite projective dimension.Rings, Modules, Algebras, and Abelian Groups, LNPAM, 236:27–44, 2004.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Direct limits of modules of finite projective dimension.Rings, Modules, Algebras, and Abelian Groups, LNPAM, 236:27–44, 2004

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.294167Z

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Observation 8d115a36-ca15-4d53-a461-5f5840c2ebdf · outbound

This paper cites Homological dimension in noetherian rings.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Homological dimension in noetherian rings

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.280660Z

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Observation 968135d8-0f73-4a1a-b0ab-e6f3e80013dc · outbound

This paper cites Reflexivity and rigidity for complexes, i: Commutative rings.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Reflexivity and rigidity for complexes, i: Commutative rings

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.267184Z

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Observation 2ed7c897-7efb-4eaa-8d12-6633d0427d5a · outbound

This paper cites Injective dimension in noetherian rings.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Injective dimension in noetherian rings

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.253918Z

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Observation 93348ad2-4db4-456a-a48e-2bb4d34b2972 · outbound

This paper cites Cotorsion pairs generated by modules of bounded projective dimension.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Cotorsion pairs generated by modules of bounded projective dimension

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.239393Z

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Observation 38226883-7518-4017-9737-98b1a69d25d1 · outbound

This paper cites Thick subcategories and virtually Gorenstein algebras.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Thick subcategories and virtually Gorenstein algebras

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.220978Z

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Observation 422cdf17-1dc9-4c9c-92ca-2506dd7b7dd0 · outbound

This paper cites Two definable subcategories of maximal Cohen–Macaulay modules.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Two definable subcategories of maximal Cohen–Macaulay modules

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.205472Z

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Observation a3cf273a-8e67-4588-b8bc-044de9cd1702 · outbound

This paper cites Cambridge University Press, Cambridge, 1998.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Cambridge University Press, Cambridge, 1998

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.191373Z

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Observation edb58fcb-d0bf-4aa8-88f1-60408d1def34 · outbound

This paper cites Gorenstein Homological Algebra of Artin Algebras.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Gorenstein Homological Algebra of Artin Algebras

Reference 9

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Observation e7bc4b05-712d-4d19-896c-7bfc6109cc99 · outbound

This paper cites Restricted homological dimensions and Cohen– Macaulayness.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Restricted homological dimensions and Cohen– Macaulayness

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.178051Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 63832910-c0f5-4ad9-987e-dc6c9d1ae1b4 · outbound

This paper cites On Gorenstein projective, injective and flat dimensions – a functorial description with applications.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions On Gorenstein projective, injective and flat dimensions – a functorial description with applications

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.164277Z

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Observation bc93fbd6-ff88-4b7c-81d9-369d6d4e3d19 · outbound

This paper cites Locally finitely presented additive categories.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Locally finitely presented additive categories

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.149586Z

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Observation 0a3282b3-59ef-4386-9512-2f91809b25a9 · outbound

This paper cites Relative homological algebra: Volume 1 , volume 30.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Relative homological algebra: Volume 1 , volume 30

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.133636Z

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Observation 1f3fbb30-0394-4882-8746-ea6ca878350b · outbound

This paper cites Gorenstein homological dimensions and Auslander categories.J.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Gorenstein homological dimensions and Auslander categories.J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.115232Z

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Observation f0b6cd9a-0f54-4b03-af10-9f004d179207 · outbound

This paper cites On homological dimensions.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions On homological dimensions

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.101488Z

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Observation b1253d0d-6360-42c6-b210-87518cc9091f · outbound

This paper cites Walter de Gruyter GmbH & Co.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Walter de Gruyter GmbH & Co

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.086711Z

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Observation 9aea9d2c-e67c-46e5-ba8a-40865c6e0535 · outbound

This paper cites On flat modules.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions On flat modules

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.073361Z

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Observation 035d4ec8-9da0-47d7-9321-6022f13341db · outbound

This paper cites Cotorsion pairs and Tor-pairs over commutative noetherian rings.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Cotorsion pairs and Tor-pairs over commutative noetherian rings

Reference 18

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Observation ad10636a-87dc-45ff-b658-bdb8720dcef2 · outbound

This paper cites Gorenstein homological dimensions.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Gorenstein homological dimensions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.059619Z

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Observation 7e387d24-42d2-454e-91a1-aad7ad780343 · outbound

This paper cites The structure of balanced big Cohen–Macaulay modules over Cohen–Macaulay rings.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions The structure of balanced big Cohen–Macaulay modules over Cohen–Macaulay rings

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.042477Z

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Observation 774fa80b-b849-4c3a-b170-dccf6fe84116 · outbound

This paper cites Semi-dualizing modules and related Gorenstein homological dimensions.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Semi-dualizing modules and related Gorenstein homological dimensions

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.027342Z

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Observation 415690ca-013d-4212-a733-480b8c4fc992 · outbound

This paper cites Cohen–Macaulay homological dimensions.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Cohen–Macaulay homological dimensions

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:53.012502Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 038b8d61-8dc8-41c9-b006-d3b14522b2bf · outbound

This paper cites Rings without a Gorenstein analogue of the Govorov–Lazard theorem.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Rings without a Gorenstein analogue of the Govorov–Lazard theorem

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.998951Z

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Observation b97452ef-309a-492c-b486-25e7f35c6307 · outbound

This paper cites The finite type of modules of bounded projective dimension and Serre’s conditions.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions The finite type of modules of bounded projective dimension and Serre’s conditions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.984035Z

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Observation 1f5f7511-cad5-4378-85c0-cbebe14b67ff · outbound

This paper cites Recognizing dualizing complexes.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Recognizing dualizing complexes

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.970258Z

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Observation 98572b37-8af6-4baf-849b-f77495f89a03 · outbound

This paper cites The spectrum of a module category.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions The spectrum of a module category

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.956330Z

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Observation 022d6168-498a-4954-b18f-6f1a2c94ae5e · outbound

This paper cites Autour de la platitude.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Autour de la platitude

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.943039Z

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Observation 2f8cb9a7-ca48-4795-ae2e-0b0271d7faaf · outbound

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Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:55:52.927061Z

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Observation e04966b1-8ad9-4a22-9128-5df4e7ec3531 · outbound

This paper cites Cohen-macaulay approximations and noetherian algebras.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Cohen-macaulay approximations and noetherian algebras

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.909753Z

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Observation d201dd45-f2f2-4df0-ab46-a99fa3d7d9fd · outbound

This paper cites Resolutions as directed colimits.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Resolutions as directed colimits

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.893128Z

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Observation 11751f75-7e59-48fb-b852-7a3b011e7331 · outbound

This paper cites Cohen–Macaulay homological dimensions.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Cohen–Macaulay homological dimensions

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.877938Z

Source-reported events for the cited work

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Observation 1919b925-3bfc-411a-9ec6-ab9dff248cbe · outbound

This paper cites Acyclic complexes of injectives and finitistic dimensions.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Acyclic complexes of injectives and finitistic dimensions

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T16:55:52.744472Z

Source-reported events for the cited work

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Observation 3947e632-ca0e-4b3e-9a51-2fc5ada69fb7 · outbound

This paper cites On G-regular local rings.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions On G-regular local rings

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.859196Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 77e77e51-402d-44ed-8016-78c20ef3b4c6 · outbound

This paper cites Flat covers of modules , volume 1634 of Lecture Notes in Mathematics.

Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions Flat covers of modules , volume 1634 of Lecture Notes in Mathematics

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:55:52.842529Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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