Tadashi Nakayama (mathematician)

Tadashi Nakayama or Tadasi Nakayama (中山 正, Nakayama Tadashi, July 26, 1912, Tokyo Prefecture – June 5, 1964, Nagoya) was a mathematician who made important contributions to representation theory. He received his degrees from Tokyo University and Osaka University and held permanent positions at Osaka University and Nagoya University. He had visiting positions at Princeton University, Illinois University, and Hamburg University. Nakayama's lemma, Nakayama algebras, and Nakayama's conjecture are named after him.

Selected works

• Nakayama, Tadasi (1939), "On Frobeniusean algebras. I", Annals of Mathematics, Second Series, Annals of Mathematics, 40 (3): 611–633, doi:10.2307/1968946, JSTOR 1968946, MR 0000016
• Nakayama, Tadasi (1941), "On Frobeniusean algebras. II", Annals of Mathematics, Second Series, Annals of Mathematics, 42 (1): 1–21, doi:10.2307/1968984, JSTOR 1968984, MR 0004237
• Tadasi Nakayama. A note on the elementary divisor theory in non-commutative domains. Bull. Amer. Math. Soc. 44 (1938) 719–723. MR 1563855 doi:10.1090/S0002-9904-1938-06850-4
• Tadasi Nakayama. A remark on representations of groups. Bull. Amer. Math. Soc. 44 (1938) 233–235. MR 1563716 doi:10.1090/S0002-9904-1938-06723-7
• Tadasi Nakayama. A remark on the sum and the intersection of two normal ideals in an algebra. Bull. Amer. Math. Soc. 46 (1940) 469–472. MR 0001967 doi:10.1090/S0002-9904-1940-07235-0
• Tadasi Nakayama and Junji Hashimoto. On a problem of G. Birkhoff . Proc. Amer. Math. Soc. 1 (1950) 141–142. MR 0035279 doi:10.1090/S0002-9939-1950-0035279-X
• Tadasi Nakayama. Remark on the duality for noncommutative compact groups . Proc. Amer. Math. Soc. 2 (1951) 849–854. MR 0045131 doi:10.1090/S0002-9939-1951-0045131-2
• Tadasi Nakayama. Orthogonality relation for Frobenius- and quasi-Frobenius-algebras . Proc. Amer. Math. Soc. 3 (1952) 183–195. MR 0049876 doi: 10.2307/2032255
• Tadasi Nakayama. Galois theory of simple rings . Trans. Amer. Math. Soc. 73 (1952) 276–292. MR 0049875 doi:10.1090/S0002-9947-1952-0049875-3
• Masatosi Ikeda and Tadasi Nakayama. On some characteristic properties of quasi-Frobenius and regular rings . Proc. Amer. Math. Soc. 5 (1954) 15–19. MR 0060489 doi:10.1090/S0002-9939-1954-0060489-9

References

• "Obituary: Tadasi Nakayama", Nagoya Mathematical Journal, 27: i–vii. (1 plate), 1966, ISSN 0027-7630, MR 0191789

External links

• O'Connor, John J.; Robertson, Edmund F., "Tadashi Nakayama", MacTutor History of Mathematics archive, University of St Andrews .
• Tadasi Nakayama at the Mathematics Genealogy Project
• https://www.math.uni-bielefeld.de/~sek/collect/nakayama.html