KENT STATE UNIVERSITY

DEPARTMENT OF MATHEMATICAL SCIENCES

Mikhail Chebotar

Contact Information and Schedules

Contact Information

Mail:	Department of Mathematical Sciences Kent State University Kent, OH 44242 U.S.A.
Office:	302 MSB
Office Phone:	(330) 672-9080
e-mail:	chebotar@math.kent.edu

Class Schedule - Spring 2007

Course	Room	Days	Time
MATH-61052: ABSTRACT ALGEBRA II	376 MSB	MWF	8:50 - 9:40 AM
MATH-22005: ANAL GEOM & CALC III	106 MSB	MWF	11:00 - 11:50 AM

Office Hours

MWF	9:50 - 10:50 AM

Professional Background

I received my M.S. degree in mathematics in 1996, Ph.D. in 1999, and D.Sc. (the highest academic degree in Russia) in 2004 from Moscow State University. I held a post-doctoral position at National Taiwan University and I worked at Tula State University and Southern Taiwan University of Technology before joining the faculty of the Department of Mathematical Scinces at Kent State University.

Publications:

Books:

M. Bresar, M.A. Chebotar, W.S. Martindale 3rd. Functional Identities. Birkhauser. 2007. 284p. ISBN: 978-3-7643-7795-3.

M.A. Chebotar, Y. Fong, W.-F. Ke, P.-H. Lee (editors). Rings and Nearrings. A volume in memory of Kostia Beidar. Walter de Gruyter. 2007. 167p. ISBN: 978-3-11-019952-9.

Papers

M.A. Chebotar. On composition of derivations in prime rings. Moscow Univ. Math. Bull. 50 (1995), 22--25.

M.A. Chebotar. On certain subrings and ideals of prime rings. First International Tainan--Moscow Algebra Workshop. Walter De Gruyter, Berlin--New York 1996, 177--180.

M.A. Chebotar. On Lie automorphisms of simple rings of characteristic 2. Fundam. Prikl. Mat. 2 (1996),1257--1268.

M.A. Chebotar. A note on certain subrings and ideals of prime rings. Comm. Algebra 26 (1998), 107--116.

M.A. Chebotar. On generalized functional identities on prime rings. J. Algebra 202 (1998), 655--670.

M.A. Chebotar. Functional identities in prime rings. Russian Math. Surveys 53 (1998), 207--208.

M. Bresar and M.A. Chebotar. On a certain functional identity in prime rings. Comm. Algebra 26 (1998), 3765--3782.

M.A. Chebotar. On Lie isomorphisms in prime rings with involution. Comm. Algebra 27 (1999), 2767--2777.

M. Bresar, M.A. Chebotar and P. Semrl. On derivations of prime rings. Comm. Algebra 27 (1999), 3129--3135.

K.I. Beidar, M. Bresar and M.A. Chebotar. Generalized functional identities with (anti)automorphisms and derivations on prime rings. J. Algebra 215 (1999), 644--665.

K.I. Beidar, M. Bresar, M.A. Chebotar and W.S. Martindale 3rd. On functional identities in prime rings with involution, II. Comm. Algebra 28 (2000), 3169--3189.

K.I. Beidar and M.A. Chebotar. On functional identities and d-free subsets of rings, I. Comm. Algebra 28 (2000), 3925--3951.

K.I. Beidar and M.A. Chebotar. On functional identities and d-free subsets of rings, II. Comm. Algebra 28 (2000), 3953--3972.

M.A. Chebotar. On functional identities of degree 2 in prime rings. Fundam. Prikl. Mat. 6 (2000), 923--938.

K.I. Beidar, S.-C. Chang, M.A. Chebotar and Y. Fong. On functional identities in left ideals of prime rings. Comm. Algebra 28 (2000), 3041--3058.

K.I. Beidar, M. Bresar and M.A. Chebotar. Jordan isomorphisms of triangular matrix algebras over a connected commutative ring. Linear Algebra Appl. 312 (2000), 197--201.

K.I. Beidar, M.Bresar and M.A. Chebotar. Functional identities on rings of upper triangular matrices. J. Math. Sci. 102 (2000), 4557--4565.

K.I. Beidar and M.A. Chebotar. On Lie-admissible algebras whose commutator Lie algebras are Lie subalgebras of prime associative algebras. J. Algebra 203 (2000), 675--703.

M.A. Chebotar and P.-H. Lee. On certain subgroups of prime rings with derivations. Comm. Algebra 29 (2001), 3083--3087.

K.I. Beidar and M.A. Chebotar. On Lie derivations of Lie ideals of prime algebras. Israel J. Math. 123 (2001), 131--148.

K.I. Beidar and M.A. Chebotar. On surjective Lie homomorphisms onto Lie ideals of prime rings. Comm. Algebra 29 (2001), 4775--4793.

K.I. Beidar, M.Bresar, M.A. Chebotar and W.S. Martindale 3rd. On Herstein's Lie map conjectures, I. Trans. Amer. Math.Soc. 353 (2001), 4235--4260.

K.I. Beidar, M.Bresar, M.A. Chebotar and W.S. Martindale 3rd. On Herstein's Lie map conjectures, II. J. Algebra 238 (2001), 239--264.

K.I. Beidar, M. Bresar and M.A. Chebotar. Functional identities revised: the fractional and the strong degree. Comm. Algebra 30 (2002), 935--969.

K.I. Beidar, M. Bresar, M.A. Chebotar and W.S. Martindale 3rd. On Herstein's Lie map conjectures, III. J. Algebra 249 (2002), 59--94.

M. Bresar and M.A. Chebotar. On a certain functional identity in prime rings, II. Beitrage Alg. Geom. 43 (2002), 333--338.

K.I. Beidar, M. Bresar, M.A. Chebotar and Y. Fong. Applying functional identities to some linear preserver problems. Pacific J. Math. 204 (2002), 257--271.

M.A. Chebotar, P.-H. Lee and T.-L. Wong. A note on derivations, additive subgroups and Lie ideals of prime rings. Comm. Algebra 30 (2002), 5011--5021.

K.I. Beidar, M. Bresar and M.A. Chebotar. Functional identities with r-independent coefficients. Comm. Algebra 30 (2002), 5725--5755.

M.A. Chebotar and P.-H. Lee. A note on compositions of derivations in prime rings. Comm. Algebra 31 (2003), 2965--2969.

K.I. Beidar and M.A. Chebotar. When is a graded PI algebra a PI algebra? Comm. Algebra 31 (2003), 2951--2964.

M.A. Chebotar, W.-F. Ke, P.-H. Lee and N.-C. Wong. Mappings preserving zero products. Studia Math 155 (2003), 77--94.

K.I. Beidar, M. Bresar and M.A. Chebotar. Jordan super-homomorphisms. Comm. Algebra 31 (2003), 633--644.

M.A. Chebotar, Y. Fong and C.-S. Wang. On prime rings satisfying a certain generalized polynomial identity. Comm. Algebra 31 (2003), 5095--5104.

W.-F. Ke and M.A. Chebotar. On bi-additive maps of some Lie algebras. Russian Math. Surv. 58 (2003), 183--184.

M.A. Chebotar and W.-F. Ke. On skew-symmetric maps on Lie algebras. Roy. Soc. Edinburgh Proc. A 133 (2003), 1273--1281.

M.A. Chebotar. On solutions of functional identities. Mat. Zametki 74 (2003), 949--953.

M.A. Chebotar, W.-F. Ke and P.H. Lee. Maps characterized by action on zero products. Pacific J. Math. 216 (2004), 217--228.

M.A. Chebotar, Y. Fong and P.-H. Lee. On division rings with algebraic commutators of bounded degree. Manuscripta Math. 113 (2004), 153--164.

K.I. Beidar, A.V. Mikhalev and M.A. Chebotar. Functional identities in rings and their applications. Russian Math. Surveys 59 (2004), 403--428.

K.I. Beidar, M. Bresar, M.A. Chebotar and W.S. Martindale 3rd. Polynomial preserving maps on certain Jordan algebras. Israel J. Math. 141 (2004), 285--313.

M.A. Chebotar, Y. Fong and L.-S. Shiao. On functional identities involving quasi-polynomials of degree one. Comm. Algebra 32 (2004), 3673--3683.

M.A. Chebotar and P.-H. Lee. Note on group identities in division rings. Proc. Edinburgh Math. Soc. 47 (2004), 557--560.

M.A. Chebotar, W.-F. Ke, P.-H. Lee and L.-S. Shiao. On maps preserving products. Canad. Math. Bull. 48 (2005), 353--369.

M.A. Chebotar, W.-F. Ke and P.-H. Lee. On maps preserving square-zero matrices. J. Algebra 289 (2005), 421--445.

M.A. Chebotar, W.-F. Ke and P.-H. Lee. Maps preserving zero Jordan products on Hermitian operators. Illinois J. Math. 49 (2005), 445--452.

M.A. Chebotar, Y. Fong and P.-H. Lee. On maps preserving zeros of the polynomial XY - YX*. Linear Algebra Appl. 408 (2005), 230--243.

K.I. Beidar, M.A. Chebotar, Y. Fong and W.-F. Ke. On some Lie-admissible subalgebras of matrix algebras. J. Math. Sci. 131 (2005), 5939--5947.

M.A. Chebotar, W.-F. Ke, P.-H. Lee and R.B. Zhang. On maps preserving zero Jordan products. Monatshefte Math. 149 (2006), 91--101.

M.A. Chebotar, W.-F. Ke and P.-H. Lee. On Bresar- Semrl conjecture and derivations of Banach algebras. Quarterly J. Math. 57 (2006), 469--478.

M.A. Chebotar and P.-H. Lee. Prime Lie rings of derivations of commutative rings. Comm. Algebra. 34 (2006), 4339--4344.

M.A. Chebotar, W.-F. Ke and P.-H. Lee. L-prime rings need not be primary. Comm. Algebra. To appear.

M.A. Chebotar, W.-F. Ke, P.-H. Lee and E.R. Puczylowski. A note on polynomial rings over nil rings. Modules and Comodules. Proceedings of the conference dedicated to Robert Wisbauer. Trends in Mathematics. Birkhauser. To appear.

M.A. Chebotar and V. Lomonosov. On a question by Grunenfelder, Omladic and Radjavi. Linear Algebra Appl. To appear.

Professional Services

Referee for the following perdiodicals:
Aequationes Mathematicae,
Algebra Colloquium,
Bulletin of the Greek Mathematical Society,
Communications in Algebra,
Glasnik Matematicki,
Houston Journal of Mathematics,
Journal of Mathematical Analysis and Applications,
Linear Algebra and its Applications,
Linear and Multilinear Algebra,
Mathematica Japonica,
Proceedings of the Edinburgh Mathematical Society,
Publicationes Mathematicae Debrecen,
Quaestiones Mathematicae,
Revista Mathematica Iberoamericana,
Taiwanese Journal of Mathematics,
Tamkang Journal of Mathematics,
Reviewer for Mathematical Reviews.

Conference organizing:
Conference in memory of Kostia Beidar (NCKU, March 2005)
International conference on algebra and its applications (STUT, December 2005)

Here are some funny links related to my research: