Graded structures

• Grant number: 19/03655-4
• Support Opportunities: Scholarships abroad - Research
• Start date: December 13, 2019
• End date: May 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Kaygorodov
• Grantee: Ivan Kaygorodov
• Host Investigator: Candido Martin Gonzalez
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Institution abroad: Universidad de Málaga (UMA), Spain

Abstract

The project will be dedicated to gradings of algebras. The main objects are conservative algebras, Fillipov (n-Lie) and n-ary Leibniz algebras. The typical questions of this line are the study of the structure of n-algebras graded and split algebras. Another part of the project will be devoted to describing possible gradings in simple algebras and superalgebras. (AU)

Scientific publications

(10)

(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)

KAYGORODOV, IVAN; ALVAREZ, MARIA ALEJANDRA; DE MELLO, THIAGO CASTILHO. Central extensions of 3-dimensional Zinbiel algebras. RICERCHE DI MATEMATICA, JUN 2021. (18/15627-2, 19/03655-4)

FERREIRA, BRUNO LEONARDO MACEDO; KAYGORODOV, IVAN. Commuting maps on alternative rings. RICERCHE DI MATEMATICA, NOV 2020. (19/03655-4)

KAYGORODOV, IVAN; PAEZ-GUILLAN, PILAR; VORONIN, VASILY. One-Generated Nilpotent Bicommutative Algebras. ALGEBRA COLLOQUIUM, v. 29, n. 03, p. 22-pg., 2022-09-01. (19/03655-4)

ISMAILOV, NURLAN; KAYGORODOV, IVAN; MUSTAFA, MANAT. The algebraic and geometric classification of nilpotent right alternative algebras. PERIODICA MATHEMATICA HUNGARICA, v. 84, n. 1, p. 13-pg., 2021-06-14. (19/03655-4)

FERREIRA, BRUNO LEONARDO MACEDO; KAYGORODOV, IVAN. Commuting maps on alternative rings. RICERCHE DI MATEMATICA, v. 71, n. 1, p. 12-pg., 2020-11-20. (19/03655-4)

ISMAILOV, NURLAN; KAYGORODOV, IVAN; MUSTAFA, MANAT. he algebraic and geometric classification of nilpotent right alternative algebra. PERIODICA MATHEMATICA HUNGARICA, v. 84, n. 1, JUN 2021. (19/03655-4)

FERREIRA, BRUNO LEONARDO MACEDO; GUZZO, JR., HENRIQUE; KAYGORODOV, IVAN. LIE MAPS ON ALTERNATIVE RINGS PRESERVING IDEMPOTENTS. Colloquium Mathematicum, v. 166, n. 2, APR 2021. (19/03655-4)

JUMANIYOZOV, DOSTON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. The algebraic classification of nilpotent commutative CD-algebras. COMMUNICATIONS IN ALGEBRA, v. 49, n. 4, NOV 2020. (19/03655-4)

ADASHEV, JOBIR; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR; SATTAROV, ALOBERDI. The Algebraic and Geometric Classification of Nilpotent Right Commutative Algebras. Results in Mathematics, v. 76, n. 1, MAR 2021. (19/03655-4)

KAYGORODOV, IVAN; ALVAREZ, MARIA ALEJANDRA; DE MELLO, THIAGO CASTILHO. Central extensions of 3-dimensional Zinbiel algebras. RICERCHE DI MATEMATICA, v. N/A, p. 27-pg., 2021-06-16. (18/15627-2, 19/03655-4)