Nonassociative cyclic algebras and the semiassociative Brauer monoid

Pumplün, Susanne

Abstract

We 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.

Citation

Pumplün, S. (2024). Nonassociative cyclic algebras and the semiassociative Brauer monoid. Rendiconti del Circolo Matematico di Palermo, 73, 3253-3275. https://doi.org/10.1007/s12215-024-01105-4

• Journal Article Type: Article
• Acceptance Date: Jul 17, 2024
• Online Publication Date: Aug 2, 2024
• Publication Date: 2024-12
• Deposit Date: Jul 30, 2024
• Publicly Available Date: Aug 3, 2025
• Journal: Rendiconti del Circolo Matematico di Palermo Series 2
• Print ISSN: 0009-725X
• Electronic ISSN: 1973-4409
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 73
• Pages: 3253-3275
• DOI: https://doi.org/10.1007/s12215-024-01105-4
• Keywords: Skew polynomial ring · Semiassociative algebra · Cyclic algebra · Differential algebra · Menichetti algebra · Nonassociative algebra · Semiassociative Brauer monoid
• Public URL: https://nottingham-repository.worktribe.com/output/37866274
• Publisher URL: https://link.springer.com/article/10.1007/s12215-024-01105-4