Moufang Loops and Malcev algebras

• Grant number: 15/07245-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 09, 2015
• End date: August 09, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Alexandre Grichkov
• Grantee: Alexandre Grichkov
• Visiting researcher: Liudmila Sabinina
• Visiting researcher institution: Universidad Nacional Autónoma de México, Morelos (UNAM), Mexico
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

We plan to obtain significant results about Malcev álgebras corresponding to Moufang analitic loops automorphic by right. And more, we plan to finish the paper on periodic Moufang loops. (AU)

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CARRILLO-CATALAN, RAMIRO; RASSKAZOVA, MARINA; SABININA, LIUDMILA. Malcev algebras corresponding to smooth almost left automorphic Moufang loops. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 17, n. 12, DEC 2018. (15/07245-4)

GARZA, OSCAR GUAJARDO; RASSKAZOVA, MARINA; SABININA, LIUDMILA. Levi and Malcev Theorems for Finite-Dimensional Algebras from the Variety Defined by the Identities x2 = J( x,y, zu) =0. ALGEBRA COLLOQUIUM, v. 28, n. 1, p. 87-90, MAR 2021. (15/07245-4, 18/11292-6)

CARRILLO-CATALAN, RAMIRO; RASSKAZOVA, MARINA; SABININA, LIUDMILA. The Moufang theorem for all analytic loops from a non-Moufang variety of loops. COMMUNICATIONS IN ALGEBRA, OCT 2019. (15/07245-4, 18/11292-6)

GRISHKOV, A. N.; RASSKAZOVA, M. N.; SABININA, L. L.. An Isotopically Invariant Property of Automorphic Moufang Loops. Algebra and Logic, v. 58, n. 4, p. 306-312, SEP 2019. (15/07245-4, 18/11292-6)

GARZA, OSCAR GUAJARDO; RASSKAZOVA, MARINA; SABININA, LIUDMILA. Levi and Malcev Theorems for Finite-Dimensional Algebras from the Variety Defined by the Identities x2 = J( x,y, zu) =0. ALGEBRA COLLOQUIUM, v. 28, n. 1, p. 4-pg., 2021-03-01. (15/07245-4, 18/11292-6)

CARRILLO-CATALAN, RAMIRO; RASSKAZOVA, MARINA; SABININA, LIUDMILA. The Moufang theorem for all analytic loops from a non-Moufang variety of loops. COMMUNICATIONS IN ALGEBRA, v. 48, n. 2, p. 6-pg., 2019-10-01. (15/07245-4, 18/11292-6)