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Biographical data: 
  • Date of birth: Februaray 25, 1926. 
  • Place of birth: Tokyo-Japan. 

  • Fields of specialization: 

  • Algebra, 
  • Algebraic Number Theory, 
  • Coding Theory and Cryptology. 

  • Research Area: Constructive Galois theory, converse problem in Galois theory, embedding problem for Galois extensions. 

    Education: 

         B.Sc. in Math. Osaka University, Osaka-Japan (1948). 
         D.Sc. in Math (Rigaku-hakushi). Osaka University, Osaka-Japan (1953). 

    Academic Appointments: 

  • Lecturer of Mathematics. Mathematics Department of Nagoya University, Nagoya-Japan (1953-54). 
  • Lecturer of Mathematics. Mathematics Department of Osaka University, Osaka-Japan (1954-60). 
  • Research Fellow. Mathematisches Seminar of Hamburg University, Hamburg-Germany (1957-59). 
  • Foreign Specialist of Mathematics and Statistics. Medical School of Ege University, Izmir-Turkey (1960-65). 
  • Associate Professor of Mathematics. Mathematics Department of Ege University, Izmir-Turkey (1965-67). 
  • Visting Professor. Mathematisches Seminar of Hamburg University, Hamburg-Germany (Spring Semester 1966). 
  • Full Professor of Mathematics. Mathematics Department of Ege University, Izmir-Turkey (1967-69). 
  • Full Professor of Mathematics. Mathematics Department of Middle East Technical University, Ankara-Turkey (1969-76). 
  • Visiting Professor. Mathematics Department of San Diego State University, California-USA (1970-71). 
  • Chairman. Research Unit of Pure Mathematics supported by TUBITAK (1970-73). 
  • Chairman. Mathematics Department of Hacettepe University (1976-78). 
  • Visiting Professor. School of Mathematics of the Institute for Advanced Study at Princeton, New Jersey-USA (Fall-term 1976). 
  • Full Professor of Mathematics. Mathematics Department of Middle East Technical University (1978-91). 
  • Visiting Professor. Mathematics Department of Yarmouk University, Irbid-Jordan (Fall Semester of 1984; 1985-87). 
  • Visiting Professor. The Research Institute for Mathematics, Oberwolfach-Germany (July 1-August 15, 1988).
  • Visiting Professor. Mathematics Department of Eastern Mediterranean University, Gazi Magosa, Turkish Republic of Northern Cyprus (1991-93). Full-time Senior Researcher. Mathematics Department of Marmara Research Center, Gebze-Turkey (1993-95). 
  • Full-time Senior Research Scientist. National Research Institute for Electronics and Cryptology, Gebze-Turkey (1995-97).
  • Full-time Senior Research Scientist. Feza Gursey Institute, Istanbul-Turkey (1997-on). 
  • Awards, Grants and Scholarships: 
  • Yukawa Scholarship to conduct research on cohomology theory for associative algebras at the Mathematics Department of Nagoya University (1954). 
  • Alexander von Humboldt Scholarship to conduct research on the embedding problem for Galois extensions at the Mathematisches Seminar of Hamburg University (1957-59). 
  • TUBITAK Science Prize (1979). 
  • Alexander von Humboldt Grant to conduct research on Jacobian problem at the Research Institute of Mathematics, Oberwolfach (1988). 
  • Mustafa Parlar Foundation Science Prize (1993). 
  • Marmara Research Center Merit Prize (1994). 

  • Memberships to Professional Societies: 
     

  • Full-member of the Turkish Academy of Sciences. 
  • American Mathematical Society. 
  • Japanese Mathematical Society. 
  • Turkish Mathematical Society. 

  • List of Publications (in chronological order): 

    1.Supplementary remarks on Frobenius algebras (together with T. Nakayama). Osaka Math. J. Vol. 2 (1950). 

    2.Some generalizations of quasi-Frobenius rings. Osaka Math. J. Vol. 3 (1951). 

    3.A characterization of quasi-Frobenius rings. Osaka Math. J. Vol. 4, No. 2 (1952). 

    4.On a theorem of Kaplansky. Osaka Math. J. Vol. 4, No. 2 (1952). 

    5.On a theorem of Gaschutz. Osaka Math. J. Vol. 5, No. 1 (1953). 

    6.On Vollidealrings. Scientific Reports of the Southern College, Osaka Univ. Vol. 1 (1953). 

    7.On absolutely segregated algebras. Nagoya Math. J. Vol. 6 (1953). 

    8.On algebras with vanishing n-cohomology groups (together with T. Nakayama and H. Nagao). Nagoya Math. J. Vol. 7 (1954). 

    9.On some properties of quasi-Frobenius and regular rings (together with T. Nakayama). Proc. of A.M.S. Vol. 5, No. 1 (1954). 

    10.Note on generalized uniserial algebras (together with T. Yoshii). Proc. Japan. Acad. Vol.30, No. 7 (1954). 

    11.Cohomology theory for associative algebras (together with T. Nakayama and H. Nagao). Proc. of International Symposium on Algebraic Number Theory, Tokyo-Nikko (1955). 

    12.On the dimension of modules and algebras I (together with S. Eilenberg and T. Nakayama). Nagoya Math. J. Vol. 8 (1955). 

    13.Uber die Existenz eigentlicher galoisscher Korper beim Einbettungsproblem fur galoissche Algebren. Abhandl. Math. Sem. der Univ. Hamburg, Band 24 (1960). 

    14.Schiefkorper unendlichen Ranges uber dem Zentrum. Osaka Math. J. Vol. 4, No. 1 1962). 

    15.Uber die verschankten Produkte der Schiefkorper. Scientific Reports of Faculty of Sciences, Ege Univ. No. 8 (1962). 

    16.On crossed products of a sfield. Nagoya Math. J. Vol. 22 (1963). 

    17.On a generalization of the existence theorem of W. Grunwald. Scientific Reports of Faculty of Sciences, Ege Univ. No. 11 (1963). 

    18.Zum Existenzsatz von Grunwald. J. reine angew. Math. Band 216 (1964). 

    19.Some inequalities for Bernoulli's polynomials and related functions. Monatshefte f. Math. Band 68 (1964). 

    20.Uber die einstufig nichtcommutativen Ringe. Nagoya Math. J. Vol. 27 (1966). 

    21.Uber die maximalen Ideale einer freien assoziativen Algebra. Abhandl. Math. Sem. Univ. Hamburg, Band 33 (1969). 

    22.On the best approximation property in non-archimedean normed spaces (together with M. Haifawi). Indag. Math. Vol. 33, No. 1 (1971). 

    23.Division rings with anti-automorphisms. J. of Algebra, Vol. 19, No. 4 (1971). 

    24.On the rationality of Artin representations. Annual Reports of the Research Unit for Pure Mathematics, TUBITAK (1971). 

    25.Chain conditions on Witt rings and orderings on fields. J. of Pure and Appl. Sciences, Middle East Tech. Univ. Vol. 5, No. 3 (1972). 

    26.A generalization of the Hasse-Arf theorem. J. reine angew. Math. Band 252 (1972). 

    27.On generalized Clifford algebras (together with C. Koc). J. of Algebra, Vol. 23, No. 1 (1972). 

    28.On the automorphisms of the Galois group GK . Annual Reports of the Research Unit for Pure Mathematics, TUBITAK (1973). 

    29.On the commutator ideal of certain rings (together with C. Koc). Archiv der Math. Vol 25 (1974). 

    30.Nilpotency index of prime C*-algebras. Rev. Faculte des Sciences d'Univ. d'Istanbul, Vol. 40 (1975). 

    31.On the group automorphisms of the absolute Galois group of the rational number field. Archiv der Math. Vol. 26 (1975). 

    32.On the completeness of the absolute Galois group of the rational number field (Announcement). Archiv der Math. Vol. 26 (1975). 

    33.On the completeness of the absolute Galois group of the rational number field. J. reine angew. Math. Band 291 (1977). 

    34.Cahit Arf's contribution to Algebraic Number Theory and related fields. Middle East Technical University (1980). 

    35.On the higher derivations of commutative rings (together with Abu-Saymeh). Math. J. Okayama Univ. Vol 29 (1987). 

    36.Integral domains saturated with respect to polynomial self-maps. Turk. J. Math. Vol.16, No. 3 (1992). 

    37.On the Euclidean kernel.  Turk. J. Math. Vol 17, No. 2 (1993). 

    38.A note on generalized bent functions (together with E. Akyildiz and I. Guloglu). J. of Pure and Applied Algebra, Vol. 106 (1996). 

    39.Weight equations for binary linear codes and their applications (together with E. Akyildiz and I. Guloglu). Turk. J. Math. Vol 21 (1997). 

    40.A remark on the non-existence of generalized bent functions. Proc. of the Conference on Number Theory and its Applications, Bilkent University,
         Marcel-Dekker (1998). 

    41.Two lemmas on formal power series (together with K. Ilhan Ikeda). Turk. J. Math. Vol. 23 (1999). 


     
     

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