Source: http://aimsciences.org/article/doi/10.3934/era.2018.25.003?viewType=html
Timestamp: 2019-04-24 19:48:59+00:00

Document:
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.
Keywords: algebra with involution, formally real field, hermitian form, signature, Witt group, positivity, sum of hermitian squares, positive cone, real algebra.
Mathematics Subject Classification: Primary: 13J30, 11E39; Secondary: 16K20, 16W10.
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