Celikbas, Olgur; Dey, Souvik; Kobayashi, Toshinori; Matsui, Hiroki On the reducing projective dimension over local rings. (English) Zbl 07811185 Glasg. Math. J. 66, No. 1, 104-118 (2024). MSC: 13D07 13C12 13D05 13H10 PDFBibTeX XMLCite \textit{O. Celikbas} et al., Glasg. Math. J. 66, No. 1, 104--118 (2024; Zbl 07811185) Full Text: DOI arXiv
Celikbas, Olgur; Liang, Li; Sadeghi, Arash; Sharif, Tirdad A study of Tate homology via the approximation theory with applications to the depth formula. (English) Zbl 1520.13021 Acta Math. Sin., Engl. Ser. 39, No. 3, 439-458 (2023). Reviewer: S. H. Hassanzadeh (Rio de Janeiro) MSC: 13D07 13D05 PDFBibTeX XMLCite \textit{O. Celikbas} et al., Acta Math. Sin., Engl. Ser. 39, No. 3, 439--458 (2023; Zbl 1520.13021) Full Text: DOI arXiv
Celikbas, Olgur; Le, Uyen; Matsui, Hiroki An extension of a depth inequality of Auslander. (English) Zbl 1502.13038 Taiwanese J. Math. 26, No. 5, 903-926 (2022). Reviewer: Mohammad-Reza Doustimehr (Tabriz) MSC: 13D07 13C12 13D05 13H10 PDFBibTeX XMLCite \textit{O. Celikbas} et al., Taiwanese J. Math. 26, No. 5, 903--926 (2022; Zbl 1502.13038) Full Text: DOI arXiv
Celikbas, Olgur; Le, Uyen; Matsui, Hiroki On the depth and reflexivity of tensor products. (English) Zbl 1493.13023 J. Algebra 606, 916-932 (2022). Reviewer: Biju Vasudevan (Jubail) MSC: 13D07 13H10 13D05 13C12 PDFBibTeX XMLCite \textit{O. Celikbas} et al., J. Algebra 606, 916--932 (2022; Zbl 1493.13023) Full Text: DOI arXiv
Celikbas, Olgur; Kobayashi, Toshinori On a class of Burch ideals and a conjecture of Huneke and Wiegand. (English) Zbl 1498.13045 Collect. Math. 73, No. 2, 221-236 (2022). Reviewer: Truong Hoang Le (Hanoi) MSC: 13D07 13H10 13D05 13C12 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{T. Kobayashi}, Collect. Math. 73, No. 2, 221--236 (2022; Zbl 1498.13045) Full Text: DOI arXiv
Celikbas, Olgur; Matsui, Hiroki; Sadeghi, Arash On an example concerning the second rigidity theorem. (English) Zbl 1489.13028 Baeth, Nicholas R. (ed.) et al., Commutative algebra. 150 years with Roger and Sylvia Wiegand. Combined proceedings: second international meeting on commutative algebra and related areas, SIMCARA, Universidade de São Paulo, São Carlos, Brazil, July 22–26, 2019 and AMS special session on commutative algebra. In celebration of the 150th birthday of Roger and Sylvia Wiegand, University of Wisconsin-Madison, Wisconsin, September 14–15, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 773, 1-10 (2021). MSC: 13D07 13H10 13D05 13C12 PDFBibTeX XMLCite \textit{O. Celikbas} et al., Contemp. Math. 773, 1--10 (2021; Zbl 1489.13028) Full Text: DOI arXiv
Celikbas, Olgur; Sadeghi, Arash Maximal Cohen-Macaulay tensor products. (English) Zbl 1474.13033 Ann. Mat. Pura Appl. (4) 200, No. 3, 923-944 (2021). Reviewer: Morteza Lotfi Parsa (Hamedan) MSC: 13D07 13C14 13C15 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{A. Sadeghi}, Ann. Mat. Pura Appl. (4) 200, No. 3, 923--944 (2021; Zbl 1474.13033) Full Text: DOI arXiv
Celikbas, Olgur; Takahashi, Ryo Powers of the maximal ideal and vanishing of (co)homology. (English) Zbl 1451.13053 Glasg. Math. J. 63, No. 1, 1-5 (2021). Reviewer: Kriti Goel (Mumbai) MSC: 13D07 13H10 13D05 13C12 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{R. Takahashi}, Glasg. Math. J. 63, No. 1, 1--5 (2021; Zbl 1451.13053) Full Text: DOI arXiv
Celikbas, Olgur; Sadeghi, Arash; Taniguchi, Naoki On modules with reducible complexity. (English) Zbl 1442.13043 Algebr. Represent. Theory 23, No. 4, 1467-1476 (2020). MSC: 13D07 13C13 13C14 13H10 PDFBibTeX XMLCite \textit{O. Celikbas} et al., Algebr. Represent. Theory 23, No. 4, 1467--1476 (2020; Zbl 1442.13043) Full Text: DOI arXiv
Araya, Tokuji; Celikbas, Olgur Reducing invariants and total reflexivity. (English) Zbl 1441.13039 Ill. J. Math. 64, No. 2, 169-184 (2020). Reviewer: Siamak Yassemi (Tehran) MSC: 13D07 13C13 13C14 13H10 PDFBibTeX XMLCite \textit{T. Araya} and \textit{O. Celikbas}, Ill. J. Math. 64, No. 2, 169--184 (2020; Zbl 1441.13039) Full Text: DOI arXiv Euclid
Celikbas, Olgur; Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki On the ideal case of a conjecture of Huneke and Wiegand. (English) Zbl 1419.13027 Proc. Edinb. Math. Soc., II. Ser. 62, No. 3, 847-859 (2019). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13D07 13C14 13C15 PDFBibTeX XMLCite \textit{O. Celikbas} et al., Proc. Edinb. Math. Soc., II. Ser. 62, No. 3, 847--859 (2019; Zbl 1419.13027) Full Text: DOI arXiv
Celikbas, Olgur; Takahashi, Ryo On the second rigidity theorem of Huneke and Wiegand. (English) Zbl 1411.13022 Proc. Am. Math. Soc. 147, No. 7, 2733-2739 (2019). Reviewer: Olaf Teschke (Berlin) MSC: 13D07 13C13 13C14 13H10 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{R. Takahashi}, Proc. Am. Math. Soc. 147, No. 7, 2733--2739 (2019; Zbl 1411.13022) Full Text: DOI arXiv
Zargar, Majid Rahro; Celikbas, Olgur; Gheibi, Mohsen; Sadeghi, Arash Homological dimensions of rigid modules. (English) Zbl 1401.13045 Kyoto J. Math. 58, No. 3, 639-669 (2018). Reviewer: Siamak Yassemi (Tehran) MSC: 13D07 13D05 13H10 PDFBibTeX XMLCite \textit{M. R. Zargar} et al., Kyoto J. Math. 58, No. 3, 639--669 (2018; Zbl 1401.13045) Full Text: DOI arXiv
Araya, Tokuji; Celikbas, Olgur; Sadeghi, Arash; Takahashi, Ryo On the vanishing of self extensions over Cohen-Macaulay local rings. (English) Zbl 1401.13043 Proc. Am. Math. Soc. 146, No. 11, 4563-4570 (2018). MSC: 13D07 13H10 PDFBibTeX XMLCite \textit{T. Araya} et al., Proc. Am. Math. Soc. 146, No. 11, 4563--4570 (2018; Zbl 1401.13043) Full Text: DOI arXiv
Celikbas, Olgur; Iima, Kei-ichiro; Sadeghi, Arash; Takahashi, Ryo On the ideal case of a conjecture of Auslander and Reiten. (English) Zbl 1402.13017 Bull. Sci. Math. 142, 94-107 (2018). Reviewer: Mohsen Asgharzadeh (Tehran) MSC: 13D07 13H10 PDFBibTeX XMLCite \textit{O. Celikbas} et al., Bull. Sci. Math. 142, 94--107 (2018; Zbl 1402.13017) Full Text: DOI arXiv
Celikbas, Olgur; Liang, Li; Sadeghi, Arash Vanishing of relative homology and depth of tensor products. (English) Zbl 1369.13020 J. Algebra 478, 382-396 (2017). Reviewer: Qiao Lei (Chengdu) MSC: 13D07 13D02 PDFBibTeX XMLCite \textit{O. Celikbas} et al., J. Algebra 478, 382--396 (2017; Zbl 1369.13020) Full Text: DOI arXiv
Celikbas, Olgur; Sather-Wagstaff, Sean Testing for the Gorenstein property. (English) Zbl 1349.13018 Collect. Math. 67, No. 3, 555-568 (2016). Reviewer: Siamak Yassemi (Tehran) MSC: 13B22 13D02 13D07 13D09 13H10 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{S. Sather-Wagstaff}, Collect. Math. 67, No. 3, 555--568 (2016; Zbl 1349.13018) Full Text: DOI arXiv
Celikbas, Olgur; Sadeghi, Arash; Takahashi, Ryo Bounds on depth of tensor products of modules. (English) Zbl 1337.13012 J. Pure Appl. Algebra 219, No. 5, 1670-1684 (2015). Reviewer: Mohsen Asgharzadeh (Tehran) MSC: 13D07 13C14 13C15 PDFBibTeX XMLCite \textit{O. Celikbas} et al., J. Pure Appl. Algebra 219, No. 5, 1670--1684 (2015; Zbl 1337.13012) Full Text: DOI arXiv
Celikbas, Olgur; Wiegand, Roger Vanishing of Tor, and why we care about it. (English) Zbl 1301.13017 J. Pure Appl. Algebra 219, No. 3, 429-448 (2015). Reviewer: Javier Majadas (Santiago de Compostela) MSC: 13D07 13D22 13C15 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{R. Wiegand}, J. Pure Appl. Algebra 219, No. 3, 429--448 (2015; Zbl 1301.13017) Full Text: DOI arXiv
Celikbas, Olgur; Dao, Hailong; Takahashi, Ryo Modules that detect finite homological dimensions. (English) Zbl 1337.13011 Kyoto J. Math. 54, No. 2, 295-310 (2014). Reviewer: Mohsen Asgharzadeh (Tehran) MSC: 13D07 13D05 13H10 PDFBibTeX XMLCite \textit{O. Celikbas} et al., Kyoto J. Math. 54, No. 2, 295--310 (2014; Zbl 1337.13011) Full Text: DOI arXiv Euclid
Celikbas, Olgur; Piepmeyer, Greg Syzygies and tensor product of modules. (English) Zbl 1430.13021 Math. Z. 276, No. 1-2, 457-468 (2014). MSC: 13D07 13C12 13C15 13D02 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{G. Piepmeyer}, Math. Z. 276, No. 1--2, 457--468 (2014; Zbl 1430.13021) Full Text: DOI arXiv
Celikbas, Olgur; Dao, Hailong Necessary conditions for the depth formula over Cohen-Macaulay local rings. (English) Zbl 1282.13030 J. Pure Appl. Algebra 218, No. 3, 522-530 (2014). Reviewer: Victor H. Jorge Pérez (São Carlos) MSC: 13D07 13C14 13C15 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{H. Dao}, J. Pure Appl. Algebra 218, No. 3, 522--530 (2014; Zbl 1282.13030) Full Text: DOI arXiv
Celikbas, Olgur; Takahashi, Ryo Auslander-Reiten conjecture and Auslander-Reiten duality. (English) Zbl 1342.13022 J. Algebra 382, 100-114 (2013). Reviewer: Rebecca R. G. (Ann Arbor) MSC: 13D07 13C13 13C14 13H10 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{R. Takahashi}, J. Algebra 382, 100--114 (2013; Zbl 1342.13022) Full Text: DOI arXiv
Celikbas, Olgur; Walker, Mark E. Hochster’s theta pairing and algebraic equivalence. (English) Zbl 1252.13009 Math. Ann. 353, No. 2, 359-372 (2012). MSC: 13D03 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{M. E. Walker}, Math. Ann. 353, No. 2, 359--372 (2012; Zbl 1252.13009) Full Text: DOI arXiv
Celikbas, Olgur; Dao, Hailong; Huneke, Craig; Zhang, Yi Bounds on the Hilbert-Kunz multiplicity. (English) Zbl 1258.13009 Nagoya Math. J. 205, 149-165 (2012). Reviewer: Florian Enescu (Atlanta) MSC: 13A35 13B22 13H15 14B05 PDFBibTeX XMLCite \textit{O. Celikbas} et al., Nagoya Math. J. 205, 149--165 (2012; Zbl 1258.13009) Full Text: DOI arXiv Euclid
Celikbas, Olgur Vanishing of Tor over complete intersections. (English) Zbl 1237.13031 J. Commut. Algebra 3, No. 2, 169-206 (2011). MSC: 13D07 PDFBibTeX XMLCite \textit{O. Celikbas}, J. Commut. Algebra 3, No. 2, 169--206 (2011; Zbl 1237.13031) Full Text: DOI arXiv Euclid
Celikbas, Olgur; Dao, Hailong Asymptotic behavior of Ext functors for modules of finite complete intersection dimension. (English) Zbl 1235.13010 Math. Z. 269, No. 3-4, 1005-1020 (2011). Reviewer: Carla Massaza (Torino) MSC: 13D07 13D03 13D15 PDFBibTeX XMLCite \textit{O. Celikbas} and \textit{H. Dao}, Math. Z. 269, No. 3--4, 1005--1020 (2011; Zbl 1235.13010) Full Text: DOI arXiv