Finite Dimensional Subalgebras in Matrix Rings Over Transcendental Division Algebras
Copyright policy )Finite Dimensional Subalgebras in Matrix Rings Over Transcendental Division Algebras
We prove in this article that for some classes of division algebras D D over a field F F every finite dimensional semisimple subalgebra of D n × n {D^{n \times n}} must be conjugate to a subalgebra of F n × n {F^{n \times n}} .
- University of Wisconsin–Oshkosh United States
Division rings and semisimple Artin rings, finite dimensional semisimple subalgebra, Finite rings and finite-dimensional associative algebras, Endomorphism rings; matrix rings, Other matrix groups over rings, division algebras, locally finite subgroups of GL(n,D)
Division rings and semisimple Artin rings, finite dimensional semisimple subalgebra, Finite rings and finite-dimensional associative algebras, Endomorphism rings; matrix rings, Other matrix groups over rings, division algebras, locally finite subgroups of GL(n,D)
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