Embedding truncated skew polynomial rings into matrix rings and embedding of a ring into 2x2 supermatrices
Rings and Algebras
2013-07-09 v1
Abstract
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 embedding of R into M_{2,1}^{s}(R), where M_{2,1}^{s}(R) is the algebra of the so called (s,2,1) supermatrices.
Keywords
Cite
@article{arxiv.1307.1783,
title = {Embedding truncated skew polynomial rings into matrix rings and embedding of a ring into 2x2 supermatrices},
author = {Jeno Szigeti},
journal= {arXiv preprint arXiv:1307.1783},
year = {2013}
}