15 citations · 50 across the 25 of their papers we have counts for
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Matrix algebras with degenerate traces and trace identities
Antonio Ioppolo, Plamen Koshlukov, Daniela La Mattina
In this paper we study matrix algebras with a degenerate trace in the framework of the theory of polynomial identities. The first part is devoted to the study of the algebra …
Trace identities and almost polynomial growth
Antonio Ioppolo, Plamen Koshlukov, Daniela La Mattina
In this paper we study algebras with trace and their trace polynomial identities over a field of characteristic 0. We consider two commutative matrix algebras: , the algebra o…
2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two
Plamen Koshlukov, Diogo Diniz P. S. Silva
The Jordan algebra of the symmetric matrices of order two over a field has two natural gradings by , the cyclic group of order 2. We describe the graded polynomia…
Automorphisms and superalgebra structures on the Grassmann algebra
Alan de Araújo Guimarães, Plamen Koshlukov
Let be a field of characteristic zero and let be the Grassmann algebra of an infinite dimensional -vector space . In this paper we study the superalgebra structures (…
-graded polynomial identities of the Grassmann algebra
Alan Guimarães, Plamen Koshlukov
Let be an infinite field of characteristic different from 2, and let be the Grassmann algebra of an infinite dimensional -vector space . In this paper we study the $\…