Gradings and graded identities of the algebra of n x n upper triangular matrices

2003 ◽  
Author(s):  
Angela Valenti
Keyword(s):  
Triangular Matrices ◽  
Upper Triangular Matrices ◽  
Graded Identities

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

2004 ◽  
Vol 275 (2) ◽  
pp. 550-566 ◽  
Author(s):  
Onofrio M. Di Vincenzo ◽  
Plamen Koshlukov ◽  
Angela Valenti
Keyword(s):  
Triangular Matrices ◽  
Upper Triangular Matrices ◽  
Graded Identities

GRADED IDENTITIES FOR THE ALGEBRA OF n×n UPPER TRIANGULAR MATRICES OVER AN INFINITE FIELD

2003 ◽  
Vol 13 (05) ◽  
pp. 517-526 ◽  
Author(s):  
PLAMEN KOSHLUKOV ◽  
ANGELA VALENTI
Keyword(s):  
Infinite Field ◽  
Polynomial Identities ◽  
Triangular Matrices ◽  
Upper Triangular Matrices ◽  
Graded Identities ◽  
Graded Polynomial Identities ◽  
The Ideal

We consider the algebra Un(K) of n×n upper triangular matrices over an infinite field K equipped with its usual ℤn-grading. We describe a basis of the ideal of the graded polynomial identities for this algebra.

Applying quick exponentiation for block upper triangular matrices

2006 ◽  
Vol 183 (2) ◽  
pp. 729-737 ◽  
Author(s):  
Rafael Álvarez ◽  
Francisco Ferrández ◽  
José-Francisco Vicent ◽  
Antonio Zamora
Keyword(s):  
Triangular Matrices ◽  
Upper Triangular Matrices
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