BABA Kiyoshi

J-GLOBAL         Last updated: Nov 7, 2018 at 22:28
 
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Name
BABA Kiyoshi
Job title
Professor
Degree
Docto of Science(Osaka University)

Research Interests

 
 

Research Areas

 
 

Academic & Professional Experience

 
1980
 - 
1981
Oita University, Faculty of Education, Research Assistant
 
1981
 - 
1985
Oita University, Faculty of Education, Lecturer
 
1985
 - 
1994
Oita University, Faculty of Education, Assistant Professor
 
1994
   
 
Oita University, Faculty of Education, Professor
 

Education

 
 
 - 
1980
Mathematics, Graduate School, Division of Natural Science, Osaka University
 
 
 - 
1974
Mathematics, Faculty of Science, Osaka University
 

Published Papers

 
Comaximal graphs and their complementary graphs
JP Journal of Algebra, Number Theory and Applications   21(2) 169-177   2011   [Refereed]

Misc

 
A generalization of Magnus' theorem
Y. Nakai and K. Baba
Osaka Journal of Mathematics   14(2) 403-409   1977   [Refereed]
A generalization of Wronskian formula
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   5(6) 1-4   1981
On p-radical descent of higher exponent
K. Baba
Osaka Journal of Mathematics   18(3) 725-748   1981   [Refereed]
Some remarks on p-radical descent for computing divisor class groups
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   6(3) 1-8   1982
Galois descent technique for computing divisor class groups I
K. Baba
The Research Bulletin of the Faculty of Educations, Oita University   6(7) 1-6   1984
Galois descent technique for computing divisor class groups II
K. Baba
The Research Bulletin of the Faculty of Educations, Oita University   7(1) 5-14   1985
The divisor class groups of invariant subrings of a Krull domain
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   7(2) 1-5   1985
Galois descent technique for computing divisor class groups III
K. Baba
The Research Bulletin of the Faculty of Educations, Oita University   8(2) 117-122   1986
Examples of Krull domains in Galois descent theory I
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   11(1) 79-84   1989
Separability and pseudo-reflections of intermediate integral domains
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   11(2) 187-194   1989
Ramification in integral extensions
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   12(1) 101-110   1990
An example of the non-Noetherian invariant subring of a Noetherian domain
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   12(2) 267-277   1990
Examples of Krull domains in Galois descent theory II
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   13(1) 65-70   1991
Examples of Krull domains in Galois descent theory III
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   13(2) 275-280   1991
Radical descent on Picard groups I
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   14(1) 189-196   1992
Higher derivations and endomorphism rings I
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   14(2) 425-440   1992
Higher derivations and endomorphism rings II
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   15(1) 103-116   1993
One dimensional subrings of constants of a polynomial ring
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   15(2) 451-455   1993
A note on subrings of constants of an affine domain
K. Baba
Mathematics Journal of Toyama University   16 91-96   1993   [Refereed]
Modularity on extensions k(x, y)/K of exponent two and subrings of k[x, y]
K. Baba
The Research Bulletin of the Faculty of Education, Oita University.   16(1) 93-102   1994
Modularity on extensions K(x,y)/K of exponent three
K. Baba
The Research Bulletin of the Faculty of Education,Oita University   17(2) 81-86   1995
Relative invariants and divisor class groups I
K. Baba
The Research Bulletin of the Faculty of Education, Oita University   20(2) 261-264   1998
Relative invariants and divisor class groups II
K. Baba
The Research Bulletin of the Faculty of Education and Welfare Science, Oita University   21(1) 19-25   1999
Picard groups and relative invariants I
K. Baba
The Research Bulletin of the Faculty of Education and Welfare Science,Oita University   21(2) 275-280   1999
Regularity of anti-integral extensions
K. Baba and K. Yoshida
Mathematics Journal of Toyama University   22 175-180   1999   [Refereed]
Picard groups and relative invariants II
K. Baba
The Research Bulletin of the Faculty of Education and Welfare Science,Oita University   22(1) 253-259   2000
The divisor class group of the ring of invariants associated with μq-actions
K. Baba
The Research Bulletin of the Faculty of Education and Welfare Science, Oita University   22(2) 531-536   2000
The invertibility of an element α2-a of a super-primitive extension R[α]/R and a linear form of a Laurent extension R[α,α-1]
M. Kanemitsu, K. Baba and K. Yoshida
Scientiae Mathematicae   3(3) 371-376   2000   [Refereed]
Some relationship between anti-integral extensions of Noetherian domains
K. Baba, S. Oda and K. Yoshida
Mathematical Journal of Ibaraki University   32 63-67   2000   [Refereed]
The Picard group of a finitely generated and birational extension of a Noetherian domain
K. Yoshida, K. Baba and M. Kanemitsu
The Bulletin of Okayama University of Science   36A 1-6   2000
The Laurent extension of a Noetherian integral domain
M. Kanemitsu, K. Baba and K. Yoshida
Scientiae Mathematicae Japonicae   53(2) 279-286   2001
Wronskian formula on higher derivations I
K. Baba
The Research Bulletin of the Faculty of Education and Welfare Science, Oita University   23(1) 107-113   2001
Extensions R[aα] ∩R[(aα)-1]of a Noetherian domain R
K. Baba and K. Yoshida
Arabian Journal for Science and Engineering   26(IC) 45-49   2001   [Refereed]
A note on anti-integrality of the inverse of an anti-integral element
K. Baba
The Research Bulletin of the Faculty of Education and Welfare Science, Oita University   23(2) 327-330   2001
Flatness and faithful flatness of a two-generator extension R[α, β]of a Noetherian domain R
K. Baba, K. Yoshida
JP Journal of Algebra,Number Theory and Applications   1(1) 47-56   2001   [Refereed]
K. Baba, S. Oda and K. Yoshida
Communications in Algebra   29(12) 5423-5431   2001   [Refereed]
Extensions R[α]and R[α2]of a Nocetherian domain R
K. Yoshida and K. Baba
The Bulletin of Okayama University of Science   37 A 1-5   2001
Equivalence classes of linear fractional transforms of anti-integral elements
K. Baba and K. Yoshida
JP Journal of Algebra,Number Theory and Applications   1(3) 195-202   2001   [Refereed]
Linear fractional transforms of an anti-integral element over a Noetherian domain
K. Baba and K. Yoshida
The Bulletin of Aichi University of Education   51 1-3   2002
Wronskian formula on higher derivations Ⅱ
K. Baba
The Research Bulletin of the Faculty of Educations and Welfavce Science,Oita University   24(1) 155-167   2002
A note on denominator ideals of linear fractional transforms of an anti-integral element over an integral domain
J. Sato, K. Baba and K. Yoshida
Mathematical Journal of Ibaraki University   34 29-31   2002   [Refereed]
Simple extensions of linear fractional trans forms of an anti-integral element over an integral domain
K. Baba and K. Yoshida
Advanced studies in Contemporary Hathematics   5(1) 15-24   2002   [Refereed]
Wronskian formula on higher derivations Ⅲ
K. Baba
The Research Bulletin of the Faculty of Educations and Welfavce Science,Oita University   24(2) 341-350   2002
Ideals generated by α-a and ideals generated by aα-1of a Laurent extension R[α, α-1] of a Noetherian domain
K. Yoshida and K. Baba
The Bulletin of Okayama University of Science   38 A 1-4   2002
Wronskian formula on higher derivations IV
K. Baba
The Research Bulletin of the Faculty of Educations and Welfare Science, Oita University   25(1) 131-140   2003
The extension R[β, β-1] of a linear fractional transform of an anti-integral element
K. Baba and K. Yoshida
JP Journal of Algebra, Nubmber Theory and Applications   3(1) 145-155   2003   [Refereed]
Wronskian formula on higher derivationsV
K. Baba
The Research Bulletin of the Faculty of Education and Welfare Science, Oita University   25(2) 265-274   2003
A condition for R[α,β]=R[α,α-1] with a linear fractional transform β of an anti-integral element α
K. Baba and K. Yoshida
JP Journal of Algebra, Number Theory and Applieations   2(3) 365-371   2003   [Refereed]
A note on some conditions on integrality of the intersection of two simple ring extensions
K. Yoshida, J. Sato and K. Baba
The Bulletin of Okayama University of Science   39(A) 5-6   2003
Criteria for anti-integrality and super-brimitiveness
K. Baba and K. Yoshida
JP Journal of Algebra,Number Theory and Applications   4(1) 153-158   2004   [Refereed]
Anti-integral extensions R[α]/R and invertibility of αn-a
K. Baba and K. Yoshida
Tamkang Journal of Mathematics   35(1) 1-12   2004   [Refereed]
Wronskian formula on higher derivations Ⅵ
K. Baba
The Research Bulletin of Faculty of Education and Welfare Science,Oita University   26(1) 115-128   2004
Conditions on super-primitiveness and anti-integrality
K.Baba, K.Yoshida
JP Journal of Algebra, Number Theory and Applications   4(2) 381-389   2004   [Refereed]
A generalization of the notion of relative invariants
K. Baba
Far East Journal of Mathematical Sciences   16(1) 97-110   2005   [Refereed]
Anti-integrality and super-primitiveness of algebraic elements over seminormal domains
K.Baba, K.Yoshida
International Journal of Mathematical Sciences   4(1) 1-9   2005   [Refereed]
Flatness and some other properties of a finitely generated extension of anti-integral elements over a Noetherian domain
K.Yoshida, K.Baba
The Bulletin of Okayama University of Science   41A 1-5   2005
Normality of a simple extension of a linear fractional transform of an algebraic element
K.Baba, K.Yoshida
JP Journal of Algebra, Number Theory and Applications   6(2) 371-379   2006   [Refereed]
A note on a condition for the obstruction ideal of an element α to be equal to the obstruction ideal of a linear fractional transform of α
K. Yoshida and K. Baba
Bull. Okayama University of Science   42 A 1-5   2006
Some conditions for a form uα - v of a two-generator extension R[α, β] to be a unit
K. Baba
JP Journal of Algebra, Number Theory and Applications   7(2) 233-240   2007   [Refereed]
The chromatic number of the simple graph associated with a commutative ring
J. Sato and K. Baba
Scientiae Mathematicae Japonicae   71(2) 187-194   2010   [Refereed]
Comaximal graphs and their complementary graphs
J. Sato and K. Baba
JP Journal of Algebra, Number Theory and Application   21(2) 169-177   2011   [Refereed]
Obstruction ideals of flatness with respect to an anti-integral element and its linear fractional transform
K. Baba and K. Yoshida
JP Journal of Algebra, Number theory and Applications   27(2) 151-167   2012   [Refereed]
The set of prime divisors of generalized denominator ideals
K. Baba and K. Yoshida
Arabian Journal of Mathematics   2(4) 333-343   2013   [Refereed]
The chromatic number of the complementary graph to a simple graph with a commutative ring
J. Sato and K. Baba
Arabian Journal of Mathematcs   3(3) 373-377   2014

Research Grants & Projects

 
Study on divisor class groups and Picard groups
The Other Research Programs
Project Year: 1976 - 2010
Study on derivations and higher derivations
The Other Research Programs
Project Year: 1978 - 2015
Study on simple extensions of rings
The Other Research Programs
Project Year: 1998 - 2010