scholarly journals Graded identities and isomorphisms on algebras of upper block-triangular matrices

2019 ◽  
Vol 523 ◽  
pp. 201-216
Author(s):  
Alex Ramos ◽  
Diogo Diniz
Keyword(s):  
Triangular Matrices ◽  
Graded Identities

scholarly journals On ℤn-graded identities of block-triangular matrices

2014 ◽  
Vol 63 (2) ◽  
pp. 302-313 ◽  
Author(s):  
Lucio Centrone ◽  
Thiago Castilho de Mello
Keyword(s):  
Triangular Matrices ◽  
Graded Identities

scholarly journals Graded identities of block-triangular matrices

2016 ◽  
Vol 464 ◽  
pp. 246-265 ◽  
Author(s):  
Diogo Diniz Pereira da Silva e Silva ◽  
Thiago Castilho de Mello
Keyword(s):  
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.

scholarly journals Some subordination involving polynomials induced by lower triangular matrices

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Saiful R. Mondal ◽  
Kottakkaran Sooppy Nisar ◽  
Thabet Abdeljawad
Keyword(s):  
Unit Disk ◽  
Triangular Matrices ◽  
Cesàro Mean ◽  
Cesaro Mean ◽  
Lower Triangular ◽  
Lower Triangular Matrices

Abstract The article considers several polynomials induced by admissible lower triangular matrices and studies their subordination properties. The concept generalizes the notion of stable functions in the unit disk. Several illustrative examples, including those related to the Cesàro mean, are discussed, and connections are made with earlier works.

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