1 citations · 3 across the 10 of their papers we have counts for
10 papers
On free subalgebras of varieties
Renato Fehlberg Júnior, Javier Sánchez
We show that some results of L. Makar-Limanov, P. Malcolmson and Z. Reichstein on the existence of free associative algebras are valid in the more general context of varieties of a…
Free group algebras in division rings with valuation II
Javier Sánchez
We apply the filtered and graded methods developed in earlier works to find (noncommutative) free group algebras in division rings. If is a Lie algebra, we denote by its…
Free group algebras in division rings with valuation I
Javier Sánchez
Let be an algebra over a commutative ring . Suppose that is endowed with a descending filtration indexed on an ordered group such that the restriction to is…
Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras
Vitor O. Ferreira, Jairo Z. Goncalves, Javier Sanchez
Let be a field of characteristic different from and let be a nonabelian residually torsion-free nilpotent group. It is known that is an orderable group. Let …
Linear maps between C*-algebras that are *-homomorphisms at a fixed point
María J. Burgos, J. Cabello-Sánchez, Antonio M. Peralta
Let and be C-algebras. A linear map is said to be a -homomorphism at an element if in implies , an…
Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras
Vitor O. Ferreira, Jairo Z. Gonçalves, Javier Sánchez
For any Lie algebra L over a field, its universal enveloping algebra U(L) can be embedded in a division ring D(L) constructed by Lichtman. If U(L) is an Ore domain, D(L) coincides…