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Graded structures

Grant number: 19/03655-4
Support Opportunities:Scholarships abroad - Research
Effective date (Start): December 13, 2019
Effective date (End): 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
Research place: 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)

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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)
ISMAILOV, NURLAN; KAYGORODOV, IVAN; MUSTAFA, MANAT. he algebraic and geometric classification of nilpotent right alternative algebra. PERIODICA MATHEMATICA HUNGARICA, v. 84, n. 1, . (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, . (19/03655-4)
JUMANIYOZOV, DOSTON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. The algebraic classification of nilpotent commutative CD-algebras. COMMUNICATIONS IN ALGEBRA, v. 49, n. 4, . (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, . (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., . (18/15627-2, 19/03655-4)
KAYGORODOV, IVAN; ALVAREZ, MARIA ALEJANDRA; DE MELLO, THIAGO CASTILHO. Central extensions of 3-dimensional Zinbiel algebras. RICERCHE DI MATEMATICA, . (18/15627-2, 19/03655-4)
FERREIRA, BRUNO LEONARDO MACEDO; KAYGORODOV, IVAN. Commuting maps on alternative rings. RICERCHE DI MATEMATICA, . (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., . (19/03655-4)
KAYGORODOV, IVAN; PAEZ-GUILLAN, PILAR; VORONIN, VASILY. One-Generated Nilpotent Bicommutative Algebras. ALGEBRA COLLOQUIUM, v. 29, n. 03, p. 22-pg., . (19/03655-4)
FERREIRA, BRUNO LEONARDO MACEDO; KAYGORODOV, IVAN. Commuting maps on alternative rings. RICERCHE DI MATEMATICA, v. 71, n. 1, p. 12-pg., . (19/03655-4)

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