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성명
임복희 교수
연구실
자연대 1호관 405호
교수전공 및 연구분야
대수학
연락처
(062)530-3337
이메일
bim@jnu.ac.kr
홈페이지
http://www.math.jnu.ac.kr/home/math_prof/prof/bhim/bhim.htm GO
약력

[1975.03 - 1978.02] 광주 수피아여고 (Speer High School, Kwangju, Korea)

 

[1978.03 - 1981.02] 전남대학교 사범대학 수학교육과, 이학사  (Chonnam National Univ. Mathematics Education, B.A.)

 

[1981.02 - 1983.02] 전남대학교 대학원 수학과, 이학석사 (Chonnam National Univ. Mathematics, M.S.)

 

[1983.08 - 1988.05] 미국 노틀담대학교 이학박사 (Univ. of Notre Dame, Ph.D.)

 

[1987.09 - 1998.09] 전남대학교 자연과학대학 전임강사, 조교수, 부교수(Chonnam National Univ., Dept. of Math., Professor)

 

[1989.03 - 1991.02] 전남대학교 여학생기숙사 사감(CNU, Dormitory Supervisor)

 

[1993.01 - 1993.12] 독일 뮌헨공대 박사후연수(Tech. Univ. Munich, Germany, Post Doc.)

 

[2001.01 - 2001.12] 미국 아이오와주립대 방문교수(Iowa State Univ., Visiting Prof.)

 

[1998.10 - 현재-] 전남대학교 자연과학대학 교수 (CNU, Full Professor)

논문/저서

(Selected Papers from AMS Mathematical reviews)

[1] (with Ryu, Ji-Young and Smith, J.D.H.) Sharply transitive sets in quasigroup actions. J. Algebraic Combin. 33 (2011), no. 1, 81?93.

[2] (with IMA-ISU research group on minimum rank) Minimum rank of skew-symmetric matrices described by a graph. Linear Algebra Appl. 432 (2010), no. 10, 24572472.

[3] (with Smith, J.D.H.) Trilinear products and comtrans algebra representations. Linear Algebra Appl. 430 (2009), no. 1, 1726.

[4] (with Smith, J.D.H.) Generic adjoints in comtrans algebras of bilinear spaces. Linear Algebra Appl. 428 (2008), no. 4, 953961.

[5] (with Ko, Hayi-Joo and Smith, J.D.H.) Semisymmetrizations of abelian group isotopes. Taiwanese J. Math. 11 (2007), no. 5, 15291534.

[6] (with Smith, J.D.H.) Comtrans algebras, Thomas sums, and bilinear forms.?Arch. Math. 84 (2005), no. 2, 107117.?

[7] (with Oh, In-Sook) Thomsen conditions on webs and their corresponding loops. Bull. Korean Math. Soc. 41 (2004), no. 3, 493505.

[8] (with Smith, J.D.H.) Orthogonal ternary algebras and Thomas sums. Algebra Colloq.? 11 (2004), no. 2, 287296.?

[9] (with Smith, J.D.H.) Simple ternary Grassmann algebras. Algebra Colloq. 11 (2004),? no. 2, 223230.

[10] (with Karzel, H. and Ko, Hayi-Joo) Webs with rotation and reflection properties and their relations with certain loops. Abh. Math. Sem. Univ. Hamburg 72 (2002), 920.

[11] (with Gabrieli, E. and Karzel, H.) Webs related to $K$-loops and reflection structures. Abh. Math. Sem. Univ. Hamburg 69 (1999), 89102.

[12] (with Karzel, H.) Centralizers of certain matrices relative to the operation related to a $K$-loop. Results Math. 36 (1999), no. 1-2, 6974.

[13] (with Ko, Hayi-Joo) Web loops and webs with reflections. J. Geom. 61 (1998), no. 1-2, 6273.

[14] (with Karzel, H.) $K$-loops over dual numbers. Results Math. 28 (1995), no. 1-2, 7585.

[16] $K$-loops and quasidirect products in $2$-dimensional linear groups over a Pythagorean field. Results Math. 28 (1995), no. 1-2, 6774.

[17] $K$-loops in the Minkowski world over an ordered field. Results Math. 25 (1994), no. 1-2, 6063.

[18] (with Karzel, H.) Determination of the automorphism group of a hyperbolic $K$-loop. J. Geom. 49 (1994), no. 1-2, 96105.

 

담당과목

대수학특강 , 현대대수1 및 실습


 
연구분야

대수학(Algebra)
Group theory and their generalizations, Nonassociative rings and algebras, Geometry, Cryptology

In my recent research I try to see how nonassociative algebraic structures such as Comtrans algebras, loops and quasigroups can be studied by using group theory, Lie algebra and geometric structures like webs.