Welcome
to my home page
Plamen Koshlukov
Welcome! I am professor in Algebra at the Department of Mathematics, State University of Campinas.
My research interests lie in the area of Ring Theory: algebras with polynomial identities (2010 MSC 16Rxx), Lie and Jordan algebras (2010 MSC 17Bxx and 17Cxx), Graded rings (16W22, 16W50, 16W55, 15A75).
My postal address isIMECC, UNICAMP, R. Sergio Buarque de Holanda, 651
Cidade Universitaria Zeferino Vaz, Barao Geraldo, Campinas, SP, postcode (CEP) 13083-859, BRAZIL;
e-mail: <my_first_name_in_lowercase>@ime.unicamp.br
An alternative e-mail address (but one I do not read regularly) is the following:
<my_first_name_in_lowercase>.<my_last_name_in_lowercase>@gmail.com
Sejam bem-vindos! Meus interesses científicos são na
área de álgebra: álgebras com identidades
polinomiais (2000 MSC 16Rxx),
álgebras de Lie e de Jordan (2000 MSC
17Bxx e 17Cxx).
MA 141, Geometria Analítica e Vetores
========================
Notas da Primeira Fase da OBM, Nível Universitário, 2011
RESEARCH PUBLICATIONS
Mathematical Reviews, Matches for P. Koshlukov, (Requires access to the MathSciNet)
If you have no such an access, below is a (more or
less)
up-to-date list.
(You might want
to consult the CNPq home page: http://www.cnpq.br, and then
choose the Lattes Platform. There you may find fairly updated list of
my
publications as well as other relevant info. The site is free, no
access fee is required. Here is the link to my CV there )
In case you need a
copy of a paper let me know. For most of the papers below I can send you
the pdf file. Most likely it won't be an exact copy of the printed
version but close enough. This way we are not running into problems
with the copyright holders...
1. Algebraic extensions and Baer and Jacobson
radicals, Proc.13th Spring Conf., UBM, Sofia, 1984, 152--156.
2. On Lie T-ideals having small growth of the
codimension sequence, with V. Drensky, Pliska 1986(8), 94--100.
3. Polynomial identities for a family of simple
Jordan algebras, C.R.Acad. Bulg. Sci. 39, 1986, 15--17.
4. Polynomial identities for quadratic Jordan
algebras, with V. Drensky, C.R.Acad. Bulg. Sci. 40, 1987, 5--8.
5. Weak polynomial identities for the vector
space with a symmetric bilinear form, with V. Drensky, Proc. 16th
Spring Conf., UBM, Sofia, 1987, 213--219.
6. Polynomial identities for a family of simple
Jordan algebras, Commun. Algebra 16(7), 1988, 1325--1371.
7. Rational Hilbert series of relatively free
Jordan algebras, J. Algebra 121(2), 1989, 301--309.
8. Polynomial identities for Jordan algebras of
degree two, with V. Drensky, J. Indian Math. Soc. 55, 1990, 1--30.
9. Polynomial identities for Jordan pairs,
Commun. Algebra 22(8), 1994, 2749--2769.
10. Special Jordan pairs, Commun. Algebra 23(9),
1995, 2457--2480.
11. Symmetric elements in free associative pairs
over a field of characteristic two, Ann. Univ. Sofia , Fac. Math. Inf.
, to appear (if ever???), 1996.
12. Speciality of Jordan pairs, An. Stiint.
Univ."Ovidius" Constanta 4, 1996, f. 2, 86--94.
13. Weak polynomial identities for the matrix
algebra of order two, J. Algebra 188, 1997, 610--625.
14. Some applications of invariant theory to P.I.
algebras, Atas, V ENAL, USP, 1997, 85--96.
15. Finitely based ideals of weak polynomial
identities, Commun. Algebra 26(10), 1998, 3335--3359.
16. Algebras with Polynomial Identities, Matem.
Contemp. 16, 1999, 137--186.
17. Identities in Grassmann algebras in
characteristic p>0 , with A. Giambruno, Atas, VIII ENAL,
USP, 1999, 47--51.
18. Ideals of identities of representations of
nilpotent Lie algebras, Commun. Algebra 28 (7), 2000, 3095--3113.
19. On the identities of the Grassmann algebras
in characteristic p>0, with A. Giambruno, Israel J. Math.
122, 2001, 305--316.
20. Basis of the identities of the matrix algebra
of order two over a field of characteristic p>2, J.
Algebra 241, no. 1, 2001, 410--434.
21. Graded identities for T-prime algebras over
fields of positive characteristic, with S. Azevedo, Israel J. Math.
122, 2002, 157--176.
22. A basis
for the graded identities of the matrix algebra of order two over a
finite field of characteristic $p\not= 2$, with S. Azevedo, Finite
Fields Appl. 8, no. 4, 2002, 597--609.
23. Polynomial
identities in T-prime algebras. IX Algebra Meeting
USP/UNICAMP/UNESP (Portuguese) (São Pedro, 2001). Resenhas
5, no. 2, 2001, 91--105.
24. Central polynomials in the matrix algebra
of order two, with J. Colombo, Atas, IX ENAL, USP, 2001, 89-92, Linear
Algebra Appl. 377, 2004, 53--67.
25. Graded identities for the algebra of nxn
upper triangular matrices over an infinite field, with A.Valenti,
Intern. J. Algebra Comput. 13, no. 5, 2003, 517--526.
26. Graded and ordinary polynomial identities in
matrix and related algebras, Lect. Notes Pure Appl. Math. 235, Marcel
Dekker, 2003, 359--381.
27. Gradings on the algebra of upper triangular matrices and their
graded identities, with O. M. Di Vincenzo, A.Valenti, J.
Algebra 275, no.2, 2004, 550--566.
28. Tensor product theorems in positive characteristic, with S.
Azevedo, M. Fidelis, J. Algebra
276, no. 2, 2004,
836--845.
29. Graded identities and PI equivalence of algebras in positive
characteristic, with S. Azevedo, M. Fidelis, Commun. Algebra 33, no. 4,
2005, 1011--1022.
30. Identities with involution for the matrix algebra of order two
in characteristic $p$, with J. Colombo, Israel J.
Math. 146, 2005, 337--355.
31. Gradings and graded identities for the upper triangular matrices
over an infinite field, with O. M. Di Vincenzo, A.
Valenti, Groups, rings and group rings, 91--103, Lect. Notes Pure
Appl. Math., 248, Chapman & Hall, Boca Raton, FL, 2006.
32. Polynomial identities of algebras in positive characteristic, with
S. Mota Alves, J. Algebra 305 (2006), no. 2, 1149--1165.
33. Involutions for upper triangular matrix algebras, with O. M. Di
Vincenzo, R. La Scala,
Adv. in Appl. Math. 37 (2006), no. 4, 541--568.
34. Central polynomials for ${\Bbb Z}_2$-graded algebras and for
algebras with involution, with A. Brand\~ao, J. Pure Appl. Algebra 208
(2007), no. 3, 877--886.
35. A-identities for the Grassmann algebra: the conjecture of Henke and
Regev, with D. Gon\c{c}alves, Proc. Amer. Math. Soc. 136 (2008), no. 8,
2711--2717.
36. Graded polynomial identities for the Lie algebra $sl_2(K)$,
Internat. J. Algebra Comput. 18 (2008), no. 5, 825--836.
37. Polynomial identities for graded tensor products of algebras, with
J. Freitas, J. Algebra 321 (2009), no. 2, 667--681.
38. Graded central polynomials for T-prime algebras, with S. M. Alves,
A. Brand\~ao, Commun. Algebra 37 (2009), no. 6, 2008--2020.
39. Graded central polynomials for the matirx algebra of order two,
with A. Brand\~ao, A. Krasilnikov, Monatsh. Math. 157 (2009), no. 3,
247--256.
40. Graded identities for Lie algebras, with A. Krasilnikov, D. Silva,
Contemp. Math. 499 (2009), 181--188, Amer. Math. Soc., Providence, RI.
41. Graded identities for tensor products of matrix (super)algebras
over the Grassmann algebra, with O. M. Di Vincenzo, E. Santulo Jr.,
Linear Algebra Appl. 432, no. 2-3 (2010), 780--795.
42. The central polynomials for the finite-dimensional Grassmann
algebras, with A. Krasilnikov, E. Silva, Algebra Discr. Math. 3 (2009),
69--76.
43. The central polynomials for the Grassmann algebra, with A.
Brand\~ao, A. Krasilnikov, E. Silva, Israel J. Math. 179 (2010), 127--144.
44. Identities and isomorphisms of graded simple algebras, with M.
Zaicev, Linear Algebra Appl. 432 (2010), 3141--3148.
45. On the *-polynomial identities of $M_{11}(E)$, with O. M. Di
Vincenzo, J. Pure Appl. Algebra 215 (2011), 262--275.
46. 2-graded polynomial identities for the Jordan algebra of the symmetric
matrices of order two, with D. D. Silva, J. Algebra 327 (2011),
236--250.
47. A-identities for upper-triangular matrices: a question of Henke and
Regev, with D. Gon\c{c}alves, Israel J. Math., 2011, to appear.
Last modified: Sept.
2011. 