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math.RA2013★ 1 cited
Embedding truncated skew polynomial rings into matrix rings and embedding of a ring into 2x2 supermatrices
Jeno Szigeti
For an endomorphism s of R with s^{t}=1 we prove that the truncated polynomial ring (algebra) R[w,s]/(w^{t}) embeds into M_{t}(R[z]/(z^{t})). For an involution we exhibit an embedd…
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-…