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, Morelia (UNAM) , Mexico
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• City of the host institution: São Paulo
• 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)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)

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)

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)

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)