Concepedia

Gorenstein Rings

Gorenstein Ring is a commutative Noetherian local ring whose injective dimension as a module over itself is finite, characterized by the property that its local cohomology satisfies Poincaré duality.

388

Publications

17K

Citations

393

Authors

267

Institutions

Publications per year

2017–2026

41

Parents

Publications

388

Stable module theory

Maurice Auslander, Mark Bridger · Memoirs of the American Mathematical Society · 1969 · 1.1K citations

, , +10

Maximal Cohen-Macaulay Modules and Tate-Cohomology Over Gorenstein Rings

Ragnar-Olaf Buchweitz · TSpace (University of Toronto) · 1986 · 546 citations · Full text

, , +9

Cluster-tilted algebras are Gorenstein and stably Calabi–Yau

Bernhard Keller, Idun Reiten · Advances in Mathematics · 2006 · 344 citations

, , +11

On Gorenstein projective, injective and flat dimensions—A functorial description with applications

Lars Winther Christensen, Anders Frankild, Henrik Holm · Journal of Algebra · 2006 · 308 citations · Full text

, , +13

Gorenstein Modules and Related Modules.

Hans‐Bjørn Foxby · MATHEMATICA SCANDINAVICA · 1972 · 272 citations · Full text

, , +8

1–5 of 388

Authors

393

  1. SG
    Shirô Gotô

    Meiji University, Japan

    19 publications · 532 citations

    13

    h-index

  2. EE
    Edgar E. Enochs

    University of Kentucky, United States

    14 publications · 541 citations

    12

    h-index

  3. AR
    Andrew R. Kustin

    University of South Carolina, United States

    11 publications · 364 citations

    11

    h-index

  4. OI
    Osamu Iyama

    Nagoya University, Japan

    11 publications · 311 citations

    10

    h-index

  5. RT
    Ryo Takahashi

    Nagoya University, Japan

    10 publications · 350 citations

    10

    h-index

1–5 of 393

Institutions

267

  1. University of Kentucky

    Lexington, United States

    15 h-index

    22 publications

    878 citations

  2. Nagoya University

    Nagoya, Japan

    13 h-index

    22 publications

    722 citations

  3. Meiji University

    Tokyo, Japan

    13 h-index

    30 publications

    775 citations

  4. University of Kansas

    Lawrence, United States

    11 h-index

    15 publications

    444 citations

  5. University of Washington

    Seattle, United States

    11 h-index

    13 publications

    549 citations

  6. Institute for Research in Fundamental Sciences

    Tehran, Iran

    11 h-index

    18 publications

    387 citations

  7. University of Nebraska–Lincoln

    Lincoln, United States

    10 h-index

    20 publications

    741 citations

  8. Purdue University West Lafayette

    West Lafayette, United States

    10 h-index

    16 publications

    639 citations

1–8 of 267

Venues

  1. Journal of Algebra

    61 publications · 2.7K citations

    28

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 26 publications · 1.5K citations

    20

    h-index

  3. Communications in Algebra

    37 publications · 1.3K citations

    20

    h-index

  4. Journal of Pure and Applied Algebra

    30 publications · 1K citations

    18

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 20 publications · 891 citations

    15

    h-index

1–5