1. Ischebeck's formula, grade and quasi-homological dimensions
   2024/12/09 by Jorge-Pérez, Victor H., Martins, Paulo, Mendoza-Rubio, Victor D. · 2 citations
   #13D02 #13D05 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
2. A generalized depth formula for modules of finite quasi-projective dimension
   2024/09/13 by Jorge-Pérez, Victor H., Martins, Paulo, Mendoza-Rubio, Victor D. · 1 citation
   #13D02 #13D05 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
3. Annihilators of (co)homology and their influence on the trace Ideal
   2024/09/07 by Lyle, Justin, Maitra, Sarasij · 2 citations
   #13C13 #13D02 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
4. Auslander-Reiten conjecture for modules whose (self) dual has finite complete intersection dimension
   2024/05/02 by Ghosh, Dipankar, Samanta, Mouma · 1 citation
   #13D05 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
5. Homological dimensions, the Gorenstein property, and special cases of some conjectures
   2024/04/30 by Dey, Souvik, Holanda, Rafael, Miranda-Neto, Cleto B. · 1 citation
   #13C10 #13C14 #13D07 #13H10 #13N15 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13D05 #Secondary 13D02
6. On modules whose dual is of finite Gorenstein dimension
   2023/12/11 by Victor D. Mendoza-Rubio, Mendoza-Rubio, Victor D., V. H. Jorge Pérez +1 · 1 citation
   Mathematics · #13C10 #13C14 #13D02 #13D07 #13H10 #14B05 #14B15 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary: 13D45 #Secondary: 13D05
7. The Auslander-Reiten Conjecture, Finite C-Injective Dimension of Hom, and vanishing of Ext
   2023/12/10 by Victor D. Mendoza-Rubio, Mendoza-Rubio, Victor D., V. H. Jorge Pérez +1 · 1 citation
   Mathematics · #13C10 #13C14 #13D02 #13D07 #13H10 #14B15 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary: 13D45 #Secondary: 13D05
8. Two theorems on the vanishing of Ext
   2023/08/17 by Celikbas, Olgur, Dey, Souvik, Kobayashi, Toshinori +2 · 1 citation
   #13A35 #13C12 #13D05 #13D07 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics
9. Semidualizing Modules over Numerical Semigroup Rings
   2023/06/26 by Ela Celikbas, Celikbas, Ela, Hugh Geller +3 · 1 citation
   Mathematics · #13C05 #13C13 #13D07 #20M25 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Group Theory (math.GR) #Rings, Modules, and Algebras
10. Iterated Mapping Cones on the Koszul Complex and Their Application to Complete Intersection Rings
    2022/12/05 by Nguyen, Van C., Veliche, Oana · 1 citation
    #13D02 #13D07 #13H10 #18G10 #18G35 #Commutative Algebra (math.AC) #FOS: Mathematics #K-Theory and Homology (math.KT) #Rings and Algebras (math.RA)
11. Ulrich split rings
    2022/10/08 by Dao, Hailong, Dey, Souvik, Dutta, Monalisa · 2 citations
    #13C13 #13C14 #13C20 #13C60 #13D07 #13D15 #13H10 #14B05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)
12. Quasi-injective dimension
    2022/07/13 by Gheibi, Mohsen · 2 citations
    #13D05 #13D07 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics
13. Vanishing of (co)homology of Burch and related submodules
    2022/01/04 by Dey, Souvik, Kobayashi, Toshinori · 1 citation
    #13C13 #13D05 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
14. Binomial expansion for saturated and symbolic powers of sums of ideals
    2021/12/17 by Ha, Huy Tai, Jayanthan, A. V., Kumar, Arvind +1 · 2 citations
    #13C13 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
15. Level and Gorenstein Projective Dimension
    2021/09/12 by Awadalla, Laila, Marley, Thomas · 1 citation
    #13D05 #13D07 #13D09 #Commutative Algebra (math.AC) #FOS: Mathematics
16. Purity, ascent, and periodicity for Gorenstein flat cotorsion modules
    2021/08/18 by Bird, Isaac · 1 citation
    #13D07 #16E30 #16G80 #18E45 #18G25 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)
17. Maximal Cohen-Macaulay tensor products and vanishing of Ext modules
    2021/06/16 by Kimura, Kaito, Otake, Yuya, Takahashi, Ryo · 1 citation
    #13C14 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
18. Two definable subcategories of maximal Cohen-Macaulay modules
    2019/04/18 by Bird, Isaac · 1 citation
    #13C11 #13C14 #13D07 #13L05 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)
19. Extremal growth of Betti numbers and trivial vanishing of (co)homology
    2019/03/29 by Lyle, Justin, Montaño, Jonathan · 1 citation
    #13C14 #13D02 #13D07 #13D40 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics
20. A bimodule structure for the bounded cohomology of commutative local rings
    2018/11/21 by Ferraro, Luigi · 1 citation
    #13D07 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics
21. Openness of the regular locus and generators for module categories
    2018/08/10 by Srikanth B. Iyengar, Ryo Takahashi, Iyengar, Srikanth B. +1 · 1 citation
    Mathematics · #13D03 #13D07 #13D09 #16E30 #16E45 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings, Modules, and Algebras
22. Applications and homological properties of local rings with decomposable maximal ideals
    2018/02/01 by Nasseh, Saeed, Sather-Wagstaff, Sean, Takahashi, Ryo +1 · 1 citation
    #13C13 #13C14 #13D07 #18A30 #Commutative Algebra (math.AC) #FOS: Mathematics
23. Equivalences from tilting theory and commutative algebra from the adjoint functor point of view
    2017/03/20 by Olgur Celikbas, Celikbas, Olgur, Henrik Holm +1 · 2 citations
    Mathematics · #13C14 #13D07 #13D45 #16E30 #18G10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA)
24. The structure of balanced big Cohen-Macaulay modules over Cohen-Macaulay rings
    2014/08/21 by Holm, Henrik · 1 citation
    #13C14 #13D05 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
25. Annihilation of cohomology and strong generation of module categories
    2014/04/05 by Iyengar, Srikanth B., Takahashi, Ryo · 2 citations
    #13C60 #13D07 #13D09 #16D90 #16E30 #16E35 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
26. On generalized Hilbert-Kunz function and multiplicity
    2013/05/08 by Dao, Hailong, Smirnov, Ilya · 1 citation
    #13A35 (Primary) #13D07 #13H10 (Secondary) #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
27. Castelnuovo Mumford Regularity with respect to multigraded ideals
    2011/07/13 by Botbol, Nicolás, Chardin, Marc · 1 citation
    #13D02 #13D07 #13D45 #14B15 #14M25 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
28. Vanishing of Ext, cluster tilting modules and finite global dimension of endomorphism rings
    2010/05/28 by Hailong Dao, Dao, Hailong, Craig Huneke +1 · 1 citation
    Mathematics · #13D07 #16G30 #16G50 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT)
29. Cotorsion pairs induced by duality pairs
    2009/05/06 by Holm, Henrik, Jorgensen, Peter · 2 citations
    #13D05 #13D07 #18G25 #Commutative Algebra (math.AC) #FOS: Mathematics
30. The Auslander-Reiten conjecture for Gorenstein rings
    2008/05/02 by Araya, Tokuji · 1 citation
    #13D02 #13D07 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

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