4 papers
An Algebraic Structure for the Central Mexican Ritual Calendar
Ramiro Carrillo-Catalán
This article develops an algebraic model of the 260-day Central Mexican ritual calendar, the \textit{Tonalpohualli}. We represent the calendar as the cyclic group $\mathbb{Z}_{13}\…
Moufang Theorem for a variety of local non-Moufang loops
Ramiro Carrillo-Catalán, Liudmila Sabinina, Marina Rasskazova
An open problem in theory of loops is to find the variety of non- Moufang loops satisfying the Moufang Theorem. In this note, we present a variety of local smooth diassociative loo…
Malcev algebras corresponding to smooth Almost Left Automorphic Moufang Loops
Ramiro Carrillo-Catalán, Marina Rasskazova, Liudmila Sabinina
In this note we introduce the concept of an almost left automorphic Moufang loop and study the properties of tangent algebras of smooth loops of this class.
Pfaffian Systems from Twistor Fibrations
Ramiro Carrillo-Catalán, Akio Yabe
Canonical twistor fibrations lead to Pfaffian systems by means of their superhorizontal distribution. The aim of this note is to identify explicitly the Pfaffian systems of five or…