Structure of relatively free trioids

• Datum: 2021
• 1. Verfasser: Zhuchok, A. V.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2021
• Schlagworte: trioid; trialgebra; free trioid; free trialgebra; relatively free trioid; semigroup; 08B20; 20M10; 20M50; 17A30; 17D9
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1732
• Назва журналу: Algebra and Discrete Mathematics

Loday and Ronco introduced the notions of a~trioid and a trialgebra, and constructed the free trioid of rank \(1\) and the free trialgebra. This paper is a survey of recent developments in the study of free objects in the varieties of trioids and trialgebras. We present the constructions of the free...