English

Twisted tensor products of $K^n$ with $K^m$

Rings and Algebras 2016-03-04 v1

Abstract

We find three families of twisting maps of K^m with K^n. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one requires m=n and yields algebras isomorphic to M_n(K). Using these families and some exceptional cases we construct all twisting maps of K^3 with K^3.

Keywords

Cite

@article{arxiv.1603.01222,
  title  = {Twisted tensor products of $K^n$ with $K^m$},
  author = {J. Arce and Jorge A. Guccione and Juan J. Guccione and C. Valqui},
  journal= {arXiv preprint arXiv:1603.01222},
  year   = {2016}
}

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53 pages