# American Institute of Mathematical Sciences

April 2018, 25: 16-26. doi: 10.3934/era.2018.25.003

## Signatures, sums of hermitian squares and positive cones on algebras with involution

 School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland

Received  October 23, 2017 Published  April 2018

We provide a coherent picture of our efforts thus far in extending real algebra and its links to the theory of quadratic forms over ordered fields in the noncommutative direction, using hermitian forms and "ordered" algebras with involution.

Citation: Vincent Astier, Thomas Unger. Signatures, sums of hermitian squares and positive cones on algebras with involution. Electronic Research Announcements, 2018, 25: 16-26. doi: 10.3934/era.2018.25.003
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