P. Koshlukov

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Z-graded polynomial identities of the Grassmann algebra

Alan de Araújo Guimarães, P. Koshlukov, 2020, 2008.12803.

Central polynomials in the matrix algebra of order two

P. Koshlukov, Jones Colombo, 2004 .

Basis of the Identities of the Matrix Algebra of Order Two over a Field of Characteristic p not equal 2

P. Koshlukov, 2001 .

Finitely based ideals of weak polynomial identities

P. Koshlukov, 1998 .

Weak Polynomial Identities for the Matrix Algebra of Order Two

P. Koshlukov, 1997 .

Specht property of varieties of graded Lie algebras

P. Koshlukov, Daniela Martinez Correa, Daniela Martinez Correa, 2022, Monatshefte für Mathematik.

Graded algebras with polynomial growth of their codimensions

P. Koshlukov, D. Mattina, 2015 .

On the ∗-polynomial identities of M1,1(E)

P. Koshlukov, O. M. D. Vincenzo, 2011 .

The central polynomials for the ﬁnite dimensional Grassmann algebras

A. Krasilnikov, P. Koshlukov, É. A. Silva, 2009 .

Central polynomials for Z2-graded algebras and for algebras with involution

P. Koshlukov, A. Brandão, 2007 .

Identities with involution for the matrix algebra of order two in characteristicp

P. Koshlukov, Jones Colombo, 2005 .

Polynomial identities for jordan pairs

P. Koshlukov, 1994 .

Polynomial identities for the Jordan algebra of 2 × 2 upper triangular matrices

P. Koshlukov, D. J. Gonçalves, M. E. Salomão, 2021, Journal of Algebra.

Embeddings for the Jordan algebra of a bilinear form

D. Diniz, Claudemir Fidelis, P. Koshlukov, 2018, Advances in Mathematics.

Gradings on the algebra of triangular matrices as a Lie algebra: revisited

Plamen Koshlukov, Felipe Yukihide Yasumura, P. Koshlukov, 2021, 2103.11977.

Group gradings on the Lie and Jordan algebras of upper triangular matrices

P. Koshlukov, Eduardo Hitomi, F. Yasumura, 2017, São Paulo Journal of Mathematical Sciences.

Group gradings on the Lie algebra of upper triangular matrices

P. Koshlukov, Felipe Yukihide, 2017 .

Elementary gradings on the Lie algebra UTn(

P. Koshlukov, Felipe Yukihide, 2017 .

Polynomial identities for the Jordan algebra of upper triangular matrices of order 2

P. Koshlukov, Fabrizio Martino, 2012 .

Graded central polynomials for the matrix algebra of order two

A. Krasilnikov, P. Koshlukov, A. Brandão, 2009 .

Graded Polynomial Identities for the Lie Algebra SL2(k)

Plamen Koshlukov, P. Koshlukov, 2008, Int. J. Algebra Comput..

Involutions for upper triangular matrix algebras

Roberto La Scala, Onofrio Mario Di Vincenzo, Plamen Koshlukov, 2006, Adv. Appl. Math..

Gradings on the algebra of upper triangular matrices and their graded identities

A. Valenti, P. Koshlukov, O. M. D. Vincenzo, 2004 .

Graded Identities for The Algebra of n times n Upper Triangular Matrices over an Infinite Field

Plamen Koshlukov, Angela Valenti, A. Valenti, 2003, Int. J. Algebra Comput..

Matrix algebras with degenerate traces and trace identities

Antonio Ioppolo, Plamen Koshlukov, Daniela La Mattina, 2020, Journal of Algebra.

GK-dimension of the Lie algebra of generic $2\times 2$ matrices

V. Drensky, P. Koshlukov, Gustavo Grings Machado, 2015, 1503.02091.

GK dimension of the relatively free algebra for $$sl_2$$sl2

P. Koshlukov, Gustavo Grings Machado, 2014 .

Polynomial identities of algebras in positive characteristic

S. M. Alves, P. Koshlukov, 2006 .

$\mathbb{Z}$ -graded identities of the Lie algebras $U_1$ in characteristic 2

Plamen Koshlukov, Claudemir Fidelis, Claudemir Fidelis, 2021, Mathematical Proceedings of the Cambridge Philosophical Society.

Graded Identities and Central Polynomials for the Verbally Prime Algebras

Plamen Koshlukov, Claudemir Fidelis, Diogo Diniz, 2021, Algebras and Representation Theory.

Group gradings on the Lie and Jordan algebras of upper triangular matrices

P. Koshlukov, Eduardo Hitomi, F. Yasumura, 2017 .

Identities and isomorphisms of graded simple algebras

M. Zaicev, P. Koshlukov, 2010 .

ASYMPTOTIC BEHAVIOUR OF FUNCTIONAL IDENTITIES

P. Koshlukov, A. Gordienko, 2012 .

Images of multilinear graded polynomials on upper triangular matrix algebras

P. Koshlukov, P. Fagundes, 2022, Canadian Journal of Mathematics.

Group gradings on the Jordan algebra of upper triangular matrices

P. Koshlukov, F. Yasumura, 2017, 1708.03032.

Basis of the Identities of the Matrix Algebra of Order Two over a Field of Characteristic p ≠ 2☆

P. Koshlukov, 2001 .

Weak polynomial identities for a vector space with a symmetric bilinear form

V. Drensky, P. Koshlukov, 2019, 1905.08351.

Ideals of identities of representations of nilpotent lie algebras

P. Koshlukov, 2000 .

Rational Hilbert series of relatively free Jordan algebras

P. Koshlukov, 1989 .

Polynomial identities for a family of simple jordan algebras

P. Koshlukov, 1988 .

The centre of generic algebras of small PI algebras

P. Koshlukov, T. C. Mello, 2012, 1208.1317.

A Basis for the Graded Identities of the Matrix Algebra of Order Two over a Finite Field of Characteristic p≠2

P. Koshlukov, Sergio S. Azevedo, 2002 .

Z-graded identities of the Lie algebras U1

P. Koshlukov, Claudemir Fideles, 2023, Journal of Algebra.

Special jordan pairs

P. Koshlukov, 1995 .