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## Miyazaki, Mitsuhiro

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 Author ID: miyazaki.mitsuhiro Published as: Miyazaki, Mitsuhiro
 Documents Indexed: 28 Publications since 1989, including 1 Book Reviewing Activity: 10 Reviews
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#### Co-Authors

 17 single-authored 9 Sakata, Toshio 9 Sumi, Toshio 1 Hashimoto, Mitsuyasu 1 Maehara, Kazumitsu 1 Sasaki, Takeshi 1 Tagami, Makoto 1 Watanabe, Yoshitaka 1 Yoshino, Yuji
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#### Serials

 6 Journal of Algebra 4 Communications in Algebra 3 Bulletin of Kyoto University of Education. Series B 2 Linear and Multilinear Algebra 2 Journal of Mathematics of Kyoto University 2 Manuscripta Mathematica 2 Linear Algebra and its Applications 1 Annals of the Institute of Statistical Mathematics 1 Journal of the Mathematical Society of Japan 1 RIMS Kokyuroku 1 Far East Journal of Mathematical Sciences 1 Journal of Commutative Algebra 1 Universal Journal of Mathematics and Mathematical Sciences 1 SpringerBriefs in Statistics
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#### Fields

 21 Commutative algebra (13-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Algebraic geometry (14-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Algebraic topology (55-XX) 3 Numerical analysis (65-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

20 Publications have been cited 60 times in 47 Documents Cited by Year
Characterizations of Buchsbaum complexes. Zbl 0671.13014
Miyazaki, Mitsuhiro
1989
A sufficient condition for a Hibi ring to be level and levelness of Schubert cycles. Zbl 1157.13003
Miyazaki, Mitsuhiro
2007
Typical ranks for $$m\times n\times (m-1)n$$ tensors with $$m \leq n$$. Zbl 1260.15042
Sumi, Toshio; Sakata, Toshio; Miyazaki, Mitsuhiro
2013
Rank of 3-tensors with 2 slices and Kronecker canonical forms. Zbl 1190.15028
Sumi, Toshio; Miyazaki, Mitsuhiro; Sakata, Toshio
2009
On the generators of the canonical module of a Hibi ring: a criterion of level property and the degrees of generators. Zbl 1367.13016
Miyazaki, Mitsuhiro
2017
On 2-Buchsbaum complexes. Zbl 0723.13002
Miyazaki, Mitsuhiro
1990
About the maximal rank of 3-tensors over the real and the complex number field. Zbl 1440.15020
Sumi, Toshio; Miyazaki, Mitsuhiro; Sakata, Toshio
2010
On heights and grades of determinantal ideals. Zbl 1032.13005
Miyazaki, Mitsuhiro; Yoshino, Yuji
2001
$$G$$-prime and $$G$$-primary $$G$$-ideals on $$G$$-schemes. Zbl 1273.14092
Hashimoto, Mitsuyasu; Miyazaki, Mitsuhiro
2013
On the discrete counterparts of algebras with straightening laws. Zbl 1237.13041
Miyazaki, Mitsuhiro
2010
On the canonical map to the local cohomology of a Stanley-Reisner ring. Zbl 0741.55013
Miyazaki, Mitsuhiro
1991
Typical ranks of certain 3-tensors and absolutely full column rank tensors. Zbl 1386.15050
Miyazaki, Mitsuhiro; Sumi, Toshio; Sakata, Toshio
2018
Almost Gorenstein Hibi rings. Zbl 1387.13052
Miyazaki, Mitsuhiro
2018
Typical ranks for 3-tensors, nonsingular bilinear maps and determinantal ideals. Zbl 1353.15002
Sumi, Toshio; Miyazaki, Mitsuhiro; Sakata, Toshio
2017
Algebraic and computational aspects of real tensor ranks. Zbl 1347.13001
Sakata, Toshio; Sumi, Toshio; Miyazaki, Mitsuhiro
2016
Typical ranks of $$m\times n\times(m-1)n$$ tensors with $$3\leq m\leq n$$ over the real number field. Zbl 1310.15043
Sumi, Toshio; Miyazaki, Mitsuhiro; Sakata, Toshio
2015
Rank of $$n$$-tensors with size $$2\times \cdots\times 2$$. Zbl 1315.15025
Sumi, Toshio; Sakata, Toshio; Miyazaki, Mitsuhiro
2014
Hodge algebra structures on certain rings of invariants and applications. Zbl 0843.13003
Miyazaki, Mitsuhiro
1995
A note on the invariants of the group of triangular matrices acting on generic echelon matrices. Zbl 0828.15013
Miyazaki, Mitsuhiro
1994
Some remarks on normal property of graded subalgebras of polynomial rings. Zbl 0724.13001
Miyazaki, Mitsuhiro
1991
Typical ranks of certain 3-tensors and absolutely full column rank tensors. Zbl 1386.15050
Miyazaki, Mitsuhiro; Sumi, Toshio; Sakata, Toshio
2018
Almost Gorenstein Hibi rings. Zbl 1387.13052
Miyazaki, Mitsuhiro
2018
On the generators of the canonical module of a Hibi ring: a criterion of level property and the degrees of generators. Zbl 1367.13016
Miyazaki, Mitsuhiro
2017
Typical ranks for 3-tensors, nonsingular bilinear maps and determinantal ideals. Zbl 1353.15002
Sumi, Toshio; Miyazaki, Mitsuhiro; Sakata, Toshio
2017
Algebraic and computational aspects of real tensor ranks. Zbl 1347.13001
Sakata, Toshio; Sumi, Toshio; Miyazaki, Mitsuhiro
2016
Typical ranks of $$m\times n\times(m-1)n$$ tensors with $$3\leq m\leq n$$ over the real number field. Zbl 1310.15043
Sumi, Toshio; Miyazaki, Mitsuhiro; Sakata, Toshio
2015
Rank of $$n$$-tensors with size $$2\times \cdots\times 2$$. Zbl 1315.15025
Sumi, Toshio; Sakata, Toshio; Miyazaki, Mitsuhiro
2014
Typical ranks for $$m\times n\times (m-1)n$$ tensors with $$m \leq n$$. Zbl 1260.15042
Sumi, Toshio; Sakata, Toshio; Miyazaki, Mitsuhiro
2013
$$G$$-prime and $$G$$-primary $$G$$-ideals on $$G$$-schemes. Zbl 1273.14092
Hashimoto, Mitsuyasu; Miyazaki, Mitsuhiro
2013
About the maximal rank of 3-tensors over the real and the complex number field. Zbl 1440.15020
Sumi, Toshio; Miyazaki, Mitsuhiro; Sakata, Toshio
2010
On the discrete counterparts of algebras with straightening laws. Zbl 1237.13041
Miyazaki, Mitsuhiro
2010
Rank of 3-tensors with 2 slices and Kronecker canonical forms. Zbl 1190.15028
Sumi, Toshio; Miyazaki, Mitsuhiro; Sakata, Toshio
2009
A sufficient condition for a Hibi ring to be level and levelness of Schubert cycles. Zbl 1157.13003
Miyazaki, Mitsuhiro
2007
On heights and grades of determinantal ideals. Zbl 1032.13005
Miyazaki, Mitsuhiro; Yoshino, Yuji
2001
Hodge algebra structures on certain rings of invariants and applications. Zbl 0843.13003
Miyazaki, Mitsuhiro
1995
A note on the invariants of the group of triangular matrices acting on generic echelon matrices. Zbl 0828.15013
Miyazaki, Mitsuhiro
1994
On the canonical map to the local cohomology of a Stanley-Reisner ring. Zbl 0741.55013
Miyazaki, Mitsuhiro
1991
Some remarks on normal property of graded subalgebras of polynomial rings. Zbl 0724.13001
Miyazaki, Mitsuhiro
1991
On 2-Buchsbaum complexes. Zbl 0723.13002
Miyazaki, Mitsuhiro
1990
Characterizations of Buchsbaum complexes. Zbl 0671.13014
Miyazaki, Mitsuhiro
1989
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#### Cited by 62 Authors

 10 Miyazaki, Mitsuhiro 4 Sakata, Toshio 4 Sumi, Toshio 3 Hashimoto, Mitsuyasu 3 Madani, Sara Saeedi 3 Sawaske, Connor 2 Blekherman, Grigoriy 2 Ene, Viviana 2 Herzog, Jürgen 2 Huneke, Craig L. 2 Page, Janet 2 Ulrich, Bernd 2 Yassemi, Siamak 1 Adiprasito, Karim Alexander 1 Athanasiadis, Christos A. 1 Aĭzenberg, Anton Andreevich 1 Bernardi, Alessandra 1 Buczyński, Jarosław 1 Chan, Clara S. 1 Comon, Pierre 1 Conca, Aldo 1 Dao, Hailong 1 Derksen, Harm 1 Eisenbud, David 1 Goulart, J. H. De M. 1 Gumerov, Renat N. 1 Haase, Christian Alexander 1 Haghighi, Hassan 1 Hibi, Takayuki 1 Hong, Jooyoun 1 Juhnke-Kubitzke, Martina 1 Jungreis, Douglas S. 1 Katthän, Lukas 1 Kemper, Gregor 1 Kiani, Dariush 1 Kohl, Florian 1 Loperfido, Nicola M. R. 1 Mohammadi, Fatemeh 1 Nagel, Uwe 1 Nakamura, Yukio 1 Nanduri, Ramakrishna 1 Ngô Viêt Trung 1 Nguyen Cong Minh 1 Nguyen, Thi van Anh 1 Ohtani, Masahiro 1 Ottaviani, Giorgio Maria 1 Postinghel, Elisa 1 Rupniewski, Filip 1 Sabzrou, Hossein 1 Sanyal, Raman 1 Schweig, Jay 1 Stong, Richard A. 1 Teitler, Zach 1 ten Berge, Jos M. F. 1 Tousi, Massoud 1 Tsuchiya, Akiyoshi 1 Varbaro, Matteo 1 Vidunov, S. I. 1 Welker, Volkmar 1 Yanagawa, Kohji 1 Yoshino, Yuji 1 Zaare-Nahandi, Rahim
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#### Cited in 28 Serials

 11 Journal of Algebra 3 Communications in Algebra 3 Linear and Multilinear Algebra 3 Journal of Pure and Applied Algebra 2 Mathematische Annalen 2 Journal of Algebraic Combinatorics 2 Journal of Commutative Algebra 1 Psychometrika 1 Arkiv för Matematik 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Annals of the Institute of Statistical Mathematics 1 Collectanea Mathematica 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Transactions of the Moscow Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Linear Algebra and its Applications 1 Lobachevskii Journal of Mathematics 1 Journal of Algebra and its Applications 1 Advances in Data Analysis and Classification. ADAC 1 Bollettino dell’Unione Matematica Italiana 1 Algebraic Combinatorics
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#### Cited in 18 Fields

 33 Commutative algebra (13-XX) 11 Combinatorics (05-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Algebraic geometry (14-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 3 Convex and discrete geometry (52-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)