Abstract
AbstractWe look at classes of semiassociative algebras, with an emphasis on those that canonically generalize associative (generalized) cyclic algebras, and at their behaviour in the semiassociative Brauer monoid defined by Blachar, Haile, Matzri, Rein, and Vishne. A possible way to generalize this monoid in characteristic p that includes nonassociative differential algebras is briefly considered.
Publisher
Springer Science and Business Media LLC
Reference36 articles.
1. Albert, A.A., Structure of Algebras. Amer. Math. Soc. Coll. Publ. vol 24, New York, AMS (1939)
2. Amitsur, A.S.: Differential polynomials and division algebras. Ann. Math. 59(2), 245–278 (1954)
3. Amitsur, A.S.: Non-commutative cyclic fields. Duke Math. J. 21, 87–105 (1954)
4. Blachar, G., Haile, D., Matzri, E., Rein, E., Vishne, U.: Semiassociative algebras over a field. J. Algebra 649, 35–84 (2024)
5. Brown, C.: Petit’s algebras and their automorphisms. PhD Thesis, University of Nottingham (2018). https://eprints.nottingham.ac.uk/49613/
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