2 papers
math.RA2013
Matrix representations of finitely generated Grassmann algebras and some consequences
László Márki, Johan Meyer, Jenő Szigeti +1
We prove that the m-generated Grassmann algebra can be embedded into a 2^{m-1}x2^{m-1} matrix algebra over a factor of a commutative polynomial algebra in m indeterminates. Cayley-…
math.RA2011
A Cayley-Hamilton trace identity for 2 x 2 matrices over Lie-solvable rings
Johan Meyer, Jeno Szigeti, Leon van Wyk
We exhibit a Cayley-Hamilton trace identity for matrices with entries in a ring satisfying and 1/2 \in R$.