On Extended Associative Semigroups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Foissy, Loïc
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214192
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Extended Associative Semigroups. Loïc Foissy. SIGMA 21 (2025), 092, 34 pages

We study extended associative semigroups (briefly, EAS), an algebraic structure used to define generalizations of the operad of associative algebras, and the subclass of commutative extended diassociative semigroups (briefly, CEDS), which are used to define generalizations of the operad of pre-Lie a...