Embedding truncated skew polynomial rings into matrix rings and embedding of a ring into 2x2 supermatrices

Abstract

For an endomorphism s of R with st=1 we prove that the truncated polynomial ring (algebra) R[w,s]/(wt) embeds into Mt(R[z]/(zt)). For an involution we exhibit an embedding of R into M2,1s(R), where M2,1s(R) is the algebra of the so called (s,2,1) supermatrices.

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