Pournaki, M. R.; Poursoltani, M.; Terai, N.; Yassemi, S. On the dimension of dual modules of local cohomology and the Serre’s condition for the unmixed Stanley-Reisner ideals of small height. (English) Zbl 1522.13035 J. Algebra 632, 751-782 (2023). Reviewer: Luca Amata (Messina) MSC: 13H10 13F55 05E40 05E45 PDFBibTeX XMLCite \textit{M. R. Pournaki} et al., J. Algebra 632, 751--782 (2023; Zbl 1522.13035) Full Text: DOI
Ene, Viviana; Rinaldo, Giancarlo; Terai, Naoki Sequentially Cohen-Macaulay binomial edge ideals of closed graphs. (English) Zbl 1494.13026 Res. Math. Sci. 9, No. 3, Paper No. 39, 17 p. (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13F65 13H10 05E40 13C70 PDFBibTeX XMLCite \textit{V. Ene} et al., Res. Math. Sci. 9, No. 3, Paper No. 39, 17 p. (2022; Zbl 1494.13026) Full Text: DOI arXiv
Kimura, K.; Pournaki, M. R.; Seyed Fakhari, S. A.; Terai, N.; Yassemi, S. A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra. (English) Zbl 07537320 Res. Math. Sci. 9, No. 2, Paper No. 29, 18 p. (2022). MSC: 13F55 05C70 05C69 05E40 05C75 13D45 13H10 55U10 13-02 PDFBibTeX XMLCite \textit{K. Kimura} et al., Res. Math. Sci. 9, No. 2, Paper No. 29, 18 p. (2022; Zbl 07537320) Full Text: DOI
Ene, Viviana; Rinaldo, Giancarlo; Terai, Naoki Powers of binomial edge ideals with quadratic Gröbner bases. (English) Zbl 1494.13025 Nagoya Math. J. 246, 233-255 (2022). Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam) MSC: 13F65 13D02 05E40 14M05 PDFBibTeX XMLCite \textit{V. Ene} et al., Nagoya Math. J. 246, 233--255 (2022; Zbl 1494.13025) Full Text: DOI arXiv
Pournaki, M. R.; Poursoltani, M.; Terai, N.; Yassemi, S. A brief survey on pure Cohen-Macaulayness in a fixed codimension. (English) Zbl 1486.13037 Acta Math. Vietnam. 47, No. 1, 181-196 (2022). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13H10 13C14 13F55 05E40 05E45 PDFBibTeX XMLCite \textit{M. R. Pournaki} et al., Acta Math. Vietnam. 47, No. 1, 181--196 (2022; Zbl 1486.13037) Full Text: DOI
Seyed Fakhari, Seyed Amin; Shibata, Kosuke; Terai, Naoki; Yassemi, Siamak Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. (English) Zbl 1475.13040 Commun. Algebra 49, No. 10, 4249-4257 (2021). MSC: 13F55 13D02 05C22 13H10 13F20 05C75 05C25 05E40 PDFBibTeX XMLCite \textit{S. A. Seyed Fakhari} et al., Commun. Algebra 49, No. 10, 4249--4257 (2021; Zbl 1475.13040) Full Text: DOI arXiv
Ene, Viviana; Rinaldo, Giancarlo; Terai, Naoki Licci binomial edge ideals. (English) Zbl 1444.13028 J. Comb. Theory, Ser. A 175, Article ID 105278, 22 p. (2020). Reviewer: Jorge Neves (Coimbra) MSC: 13F65 05E40 13A70 PDFBibTeX XMLCite \textit{V. Ene} et al., J. Comb. Theory, Ser. A 175, Article ID 105278, 22 p. (2020; Zbl 1444.13028) Full Text: DOI arXiv
Minh, Nguyên Công; Terai, Naoki; Thuy, Phan Thi Level property of ordinary and symbolic powers of Stanley-Reisner ideals. (English) Zbl 1420.13030 J. Algebra 535, 350-364 (2019). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13D02 05E40 05E45 05B35 PDFBibTeX XMLCite \textit{N. C. Minh} et al., J. Algebra 535, 350--364 (2019; Zbl 1420.13030) Full Text: DOI
Caviglia, Giulio; Hà, Huy Tài; Herzog, Jürgen; Kummini, Manoj; Terai, Naoki; Trung, Ngo Viet Depth and regularity modulo a principal ideal. (English) Zbl 1448.13028 J. Algebr. Comb. 49, No. 1, 1-20 (2019). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 14B05 05C65 13F55 PDFBibTeX XMLCite \textit{G. Caviglia} et al., J. Algebr. Comb. 49, No. 1, 1--20 (2019; Zbl 1448.13028) Full Text: DOI arXiv
Kimura, Kyouko; Terai, Naoki; Yassemi, Siamak The projective dimension of the edge ideal of a very well-covered graph. (English) Zbl 1411.13018 Nagoya Math. J. 230, 160-179 (2018). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 13F55 05C99 PDFBibTeX XMLCite \textit{K. Kimura} et al., Nagoya Math. J. 230, 160--179 (2018; Zbl 1411.13018) Full Text: DOI
Hoa, Le Tuan; Kimura, Kyouko; Terai, Naoki; Trung, Tran Nam Stability of depths of symbolic powers of Stanley-Reisner ideals. (English) Zbl 1358.13020 J. Algebra 473, 307-323 (2017). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D45 05C90 05E40 05E45 PDFBibTeX XMLCite \textit{L. T. Hoa} et al., J. Algebra 473, 307--323 (2017; Zbl 1358.13020) Full Text: DOI
Terai, Naoki; Yoshida, Ken-ichi Multiplicity and Castelnuovo-Mumford regularity of Stanley-Reisner rings. (English) Zbl 1318.13037 Acta Math. Vietnam. 40, No. 1, 61-69 (2015). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F55 13H10 PDFBibTeX XMLCite \textit{N. Terai} and \textit{K.-i. Yoshida}, Acta Math. Vietnam. 40, No. 1, 61--69 (2015; Zbl 1318.13037) Full Text: DOI
Constantinescu, A.; Pournaki, M. R.; Fakhari, S. A. Seyed; Terai, N.; Yassemi, S. Cohen-Macaulayness and limit behavior of depth for powers of cover ideals. (English) Zbl 1366.13018 Commun. Algebra 43, No. 1, 143-157 (2015). MSC: 13H10 13C15 13A02 13P05 PDFBibTeX XMLCite \textit{A. Constantinescu} et al., Commun. Algebra 43, No. 1, 143--157 (2015; Zbl 1366.13018) Full Text: DOI
Pournaki, M. R.; Fakhari, S. A. Seyed; Terai, N.; Yassemi, S. Simplicial complexes satisfying Serre’s condition: a survey with some new results. (English) Zbl 1345.13014 J. Commut. Algebra 6, No. 4, 455-483 (2014). MSC: 13F55 13C15 05E99 13C13 PDFBibTeX XMLCite \textit{M. R. Pournaki} et al., J. Commut. Algebra 6, No. 4, 455--483 (2014; Zbl 1345.13014) Full Text: DOI Euclid
Terai, Naoki; Ngo Viet Trung On the associated primes and the depth of the second power of squarefree monomial ideals. (English) Zbl 1284.13030 J. Pure Appl. Algebra 218, No. 6, 1117-1129 (2014). Reviewer: Somayeh Bandari (Tehran) MSC: 13F55 05E40 13C05 13C15 13D45 PDFBibTeX XMLCite \textit{N. Terai} and \textit{Ngo Viet Trung}, J. Pure Appl. Algebra 218, No. 6, 1117--1129 (2014; Zbl 1284.13030) Full Text: DOI arXiv
Kimura, Kyouko; Rinaldo, Giancarlo; Terai, Naoki Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four. (English) Zbl 1262.13037 Commun. Algebra 40, No. 11, 4147-4170 (2012). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13F55 PDFBibTeX XMLCite \textit{K. Kimura} et al., Commun. Algebra 40, No. 11, 4147--4170 (2012; Zbl 1262.13037) Full Text: DOI arXiv
Terai, Naoki; Ngo Viet Trung Cohen-Macaulayness of large powers of Stanley-Reisner ideals. (English) Zbl 1246.13032 Adv. Math. 229, No. 2, 711-730 (2012). Reviewer: Yukihide Takayama (Shiga) MSC: 13F55 13H10 PDFBibTeX XMLCite \textit{N. Terai} and \textit{Ngo Viet Trung}, Adv. Math. 229, No. 2, 711--730 (2012; Zbl 1246.13032) Full Text: DOI arXiv
Rinaldo, Giancarlo; Terai, Naoki; Yoshida, Ken-Ichi On the second powers of Stanley-Reisner ideals. (English) Zbl 1237.13045 J. Commut. Algebra 3, No. 3, 405-430 (2011). MSC: 13F55 13H10 PDFBibTeX XMLCite \textit{G. Rinaldo} et al., J. Commut. Algebra 3, No. 3, 405--430 (2011; Zbl 1237.13045) Full Text: DOI arXiv Euclid
Mahmoudi, Mohammad; Mousivand, Amir; Crupi, Marilena; Rinaldo, Giancarlo; Terai, Naoki; Yassemi, Siamak Vertex decomposability and regularity of very well-covered graphs. (English) Zbl 1227.13017 J. Pure Appl. Algebra 215, No. 10, 2473-2480 (2011). Reviewer: Martina Kubitzke (Wien) MSC: 13H10 05C75 05C40 13A15 13C14 13C15 13F55 55U10 PDFBibTeX XMLCite \textit{M. Mahmoudi} et al., J. Pure Appl. Algebra 215, No. 10, 2473--2480 (2011; Zbl 1227.13017) Full Text: DOI arXiv
Haghighi, Hassan; Terai, Naoki; Yassemi, Siamak; Zaare-Nahandi, Rahim Sequentially \(S_r\) simplicial complexes and sequentially \(S_2\) graphs. (English) Zbl 1220.13014 Proc. Am. Math. Soc. 139, No. 6, 1993-2005 (2011). Reviewer: Peter Schenzel (Halle) MSC: 13H10 05C75 13F55 PDFBibTeX XMLCite \textit{H. Haghighi} et al., Proc. Am. Math. Soc. 139, No. 6, 1993--2005 (2011; Zbl 1220.13014) Full Text: DOI arXiv
Crupi, Marilena; Rinaldo, Giancarlo; Terai, Naoki Cohen-Macaulay edge ideal whose height is half of the number of vertices. (English) Zbl 1227.05218 Nagoya Math. J. 201, 117-131 (2011). MSC: 05C75 05C90 05C12 13H10 55U10 PDFBibTeX XMLCite \textit{M. Crupi} et al., Nagoya Math. J. 201, 117--131 (2011; Zbl 1227.05218) Full Text: DOI arXiv
Crupi, Marilena; Rinaldo, Giancarlo; Terai, Naoki; Yoshida, Ken-Ichi Effective Cowsik-Nori theorem for edge ideals. (English) Zbl 1203.13023 Commun. Algebra 38, No. 9, 3347-3357 (2010). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13F55 13H10 PDFBibTeX XMLCite \textit{M. Crupi} et al., Commun. Algebra 38, No. 9, 3347--3357 (2010; Zbl 1203.13023) Full Text: DOI
Terai, Naoki; Yoshida, Ken-Ichi A note on Cohen-Macaulayness of Stanley-Reisner rings with Serre’s condition \((S_{2})\). (English) Zbl 1137.13013 Commun. Algebra 36, No. 2, 464-477 (2008). Reviewer: Siamak Yassemi (Tehran) MSC: 13F55 13H10 PDFBibTeX XMLCite \textit{N. Terai} and \textit{K.-I. Yoshida}, Commun. Algebra 36, No. 2, 464--477 (2008; Zbl 1137.13013) Full Text: DOI
Terai, Naoki; Yoshida, Ken-Ichi Buchsbaum Stanley–Reisner rings and Cohen–Macaulay covers. (English) Zbl 1118.13024 Commun. Algebra 34, No. 7, 2673-2681 (2006). Reviewer: Andrew Kustin (Columbia) MSC: 13F55 14E20 13H10 13D02 PDFBibTeX XMLCite \textit{N. Terai} and \textit{K.-I. Yoshida}, Commun. Algebra 34, No. 7, 2673--2681 (2006; Zbl 1118.13024) Full Text: DOI
Terai, Naoki; Yoshida, Ken-ichi Buchsbaum Stanley-Reisner rings with minimal multiplicity. (English) Zbl 1105.13027 Proc. Am. Math. Soc. 134, No. 1, 55-65 (2006). Reviewer: Vittoria Bonanzinga (Reggio Calabria) MSC: 13F55 13D02 PDFBibTeX XMLCite \textit{N. Terai} and \textit{K.-i. Yoshida}, Proc. Am. Math. Soc. 134, No. 1, 55--65 (2006; Zbl 1105.13027) Full Text: DOI arXiv
Herzog, Jürgen; Terai, Naoki Stable properties of algebraic shifting. (English) Zbl 0945.13013 Result. Math. 35, No. 3-4, 260-265 (1999). Reviewer: M.Golasiński (Toruń) MSC: 13F55 13C15 55U10 PDFBibTeX XMLCite \textit{J. Herzog} and \textit{N. Terai}, Result. Math. 35, No. 3--4, 260--265 (1999; Zbl 0945.13013) Full Text: DOI
Terai, Naoki; Hibi, Takayuki Finite free resolutions and 1-skeletons of simplicial complexes. (English) Zbl 0871.55015 J. Algebr. Comb. 6, No. 1, 89-93 (1997). MSC: 55U10 06D99 05C99 PDFBibTeX XMLCite \textit{N. Terai} and \textit{T. Hibi}, J. Algebr. Comb. 6, No. 1, 89--93 (1997; Zbl 0871.55015) Full Text: DOI
Terai, Naoki; Hibi, Takayuki Computation of Betti numbers of monomial ideals associated with stacked polytopes. (English) Zbl 0882.13018 Manuscr. Math. 92, No. 4, 447-453 (1997). Reviewer: A.Martsinkovsky (Boston) MSC: 13D03 13F20 52B11 PDFBibTeX XMLCite \textit{N. Terai} and \textit{T. Hibi}, Manuscr. Math. 92, No. 4, 447--453 (1997; Zbl 0882.13018) Full Text: DOI EuDML
Terai, Naoki; Hibi, Takayuki Some results on Betti numbers of Stanley-Reisner rings. (English) Zbl 0862.13005 Discrete Math. 157, No. 1-3, 311-320 (1996). Reviewer: Y.Aoyama (Matsue/Shimane) MSC: 13D03 13D05 13D40 PDFBibTeX XMLCite \textit{N. Terai} and \textit{T. Hibi}, Discrete Math. 157, No. 1--3, 311--320 (1996; Zbl 0862.13005) Full Text: DOI
Terai, N.; Hibi, T. Computation of Betti numbers of monomial ideals associated with cyclic polytopes. (English) Zbl 0860.55018 Discrete Comput. Geom. 15, No. 3, 287-295 (1996). MSC: 55U99 52B99 PDFBibTeX XMLCite \textit{N. Terai} and \textit{T. Hibi}, Discrete Comput. Geom. 15, No. 3, 287--295 (1996; Zbl 0860.55018) Full Text: DOI
Terai, Naoki Some remarks on algebras with straightening laws. (English) Zbl 0816.13018 J. Pure Appl. Algebra 95, No. 1, 87-101 (1994). Reviewer: R.Fröberg (Stockholm) MSC: 13F50 06A11 PDFBibTeX XMLCite \textit{N. Terai}, J. Pure Appl. Algebra 95, No. 1, 87--101 (1994; Zbl 0816.13018) Full Text: DOI