A generalization of the matrix transpose map and its relationship to the twist of the polynomial ring by an automorphism

@article{McGinnis2017AGO,
  title={A generalization of the matrix transpose map and its relationship to the twist of the polynomial ring by an automorphism},
  author={Andrew M. McGinnis and Michaela Vancliff},
  journal={Involve, A Journal of Mathematics},
  year={2017},
  volume={10},
  pages={43-50}
}
A generalization of the notion of symmetric matrix was introduced by Cassidy and Vancliff in 2010, and used by them in a construction that produces quadratic regular algebras of finite global dimension that are generalizations of graded Clifford algebras. In this article, we further their ideas by introducing a generalization of the matrix transpose map and use it to generalize the notion of skew-symmetric matrix. With these definitions, an analogue of the result that every n × n matrix is a… 

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