CV Lattes
ResearcherID
Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation for the last research proposal) Birthplace: Uruguai
graduate at Bacharelado Em Matemática from Universidade de São Paulo (1971), master's at Mathematics from Universidade de São Paulo (1972) and ph.d. at Mathematics from Universidade de São Paulo (1974). Has experience in Mathematics, acting on the following subjects: loop, group ring, anel de grupo, grupo and loop ring. (Source: Lattes Curriculum)
We intend to continue the research on non commutative rings and applications. The research group has been working in this direction for quitea long time and has already obtained expressive results that are frequently quoted in the literature. The subjects that will be the object of our research in the forth coming period are, among others: the structure of group algebras and its applicati…
Fundamental Algebras are algebras defined in terms of polynimial identities which are multialternating polynomials colled Kemer polynimials. Every finite dimensional algebra is PI-equivalent to a fundamental algebra. We intend to study finite dimensional algebras which are PI-equivalent to algebras whose central codiimensions are of polynimial growth. (AU)
We intend to conduce an extensive research, from the point of view of the Conceptual History of Mathematics, of the main work of Herman G. Grassmann, continuing the previous work of Prof. Flament, who is internationally known for his work in this subject. We expect to understand the point of wiew of Grassmann himself when planning this work, a matter so far neglected by contemporary resea…
(Only some records are available in English at this moment)
Let * be an involution of a group algebra KG induced by an involution of the group G. We define *-identities in groups analogous to *-identities in rings. In this research project we aim to relate the *-identities of the unit group of KG to the nilpotence of the Lie algebra of *-skew elements of KG.
A cyclic code, is a linear code such that if c = (c1, ..., cn) C then (cn, c1, ..., cn-1) C.If we denote by Cn the cyclic group of order n and by FqCn the group algebra of Cn over Fq, it is easy to see that every cyclic code can be accomplished as an ideal this algebra. This view has the advantage of allowingusing the group structure to determine the parameters of a code.Recently, A. Sh…
The study of generating sets for the group of units of group rings is a very active area nowadays. Particularly, in the case of integral group rings, the importance of this research can be compared to Dirichlet's Theorem, for algebraic integers.Unfortunately, there are not general results about generating sets of units for integral group rings. However the researchers have been studying …
| 1 / 1 | Ongoing research grants |
| 45 / 33 | Completed research grants |
| 8 / 3 | Completed scholarships in Brazil |
| 3 / 1 | Completed scholarships abroad |
| 57 / 38 | All research grants and scholarships |
| Associated processes | |
(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)
| Publications | 55 |
| Citations | 157 |
| Cit./Article | 2.9 |
| Data from Web of Science | |
GIAMBRUNO, A.; MILIES, C. POLCINO; SEHGAL, SUDARSHAN K.. Lie properties of symmetric elements in group rings. Journal of Algebra, v. 321, n. 3, p. 890-902, FEB 1 2009. Web of Science Citations: 25. (05/60411-8)
GONCALVES, J. Z.; SHIRVANI, M.. A SURVEY ON FREE OBJECTS IN DIVISION RINGS AND IN DIVISION RINGS WITH AN INVOLUTION. COMMUNICATIONS IN ALGEBRA, v. 40, n. 5, p. 1704-1723, 2012. Web of Science Citations: 14. (09/52665-0)
GIAMBRUNO, ANTONIO; MILIES, CESAR POLCINO; SEHGAL, SUDARSHAN K.. Star-group identities and groups of units. ARCHIV DER MATHEMATIK, v. 95, n. 6, p. 501-508, DEC 2010. Web of Science Citations: 7. (09/52665-0)
DOKUCHAEV‚ M.A.; MILIES‚ C.P.; SEHGAL‚ SK. Isomorphisms of partial group rings. Glasgow Mathematical Journal, v. 46, n. 1, p. 161-168, 2004. (00/07291-0)
FERRAZ, RAUL ANTONIO. Simple components of the center of FG/J(FG). COMMUNICATIONS IN ALGEBRA, v. 36, n. 9, p. 3191-3199, 2008. Web of Science Citations: 4. (04/15319-3)
DOKUCHAEV, MIKHAILO; KHRYPCHENKO, MYKOLA. Twisted partial actions and extensions of semilattices of groups by groups. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 27, n. 7, p. 887-933, NOV 2017. Web of Science Citations: 2. (12/01554-7, 15/09162-9)
GIAMBRUNO, ANTONIO; MILIES, CESAR POLCINO; SEHGAL, SUDARSHAN K.. Star-group identities on units of group algebras: The non-torsion case. FORUM MATHEMATICUM, v. 30, n. 1, p. 213-225, JAN 2018. Web of Science Citations: 0. (09/52665-0)
GONCALVES, JAIRO Z.. Free subgroups in k(x(1), ... , x(n))(X; sigma) and k(x, y)(X; sigma). FORUM MATHEMATICUM, v. 31, n. 3, p. 769-777, MAY 2019. Web of Science Citations: 0. (15/09162-9)
GONCALVES, JAIRO Z.. Free groups in a normal subgroup of the field of fractions of a skew polynomial ring. COMMUNICATIONS IN ALGEBRA, v. 45, n. 12, p. 5193-5201, 2017. Web of Science Citations: 1. (15/09162-9)
GONCALVES, JAIRO Z.. Constructing free groups in a normal subgroup of the multiplicative group of division rings. Journal of Group Theory, v. 18, n. 5, p. 829-843, SEP 2015. Web of Science Citations: 2. (09/52665-0)
FERRAZ, RAUL ANTONIO; FERREIRA, RUTH NASCIMENTO. One-weight codes in some classes of group rings. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, NOV 2020. Web of Science Citations: 0. (15/09162-9)
SANCHEZ, JAVIER. Free group algebras in division rings with valuation I. Journal of Algebra, v. 531, p. 221-248, AUG 1 2019. Web of Science Citations: 0. (15/09162-9)
DOKUCHAEV, MIKHAILO; KHRYPCHENKO, MYKOLA; JACOBO SIMON, JUAN. Globalization of group cohomology in the sense of Alvares-Alves-Redondo. Journal of Algebra, v. 546, p. 604-640, MAR 15 2020. Web of Science Citations: 0. (15/09162-9)
FERREIRA, VITOR O.; GONCALVES, JAIRO Z.; SANCHEZ, JAVIER. Free Symmetric and Unitary Pairs in the Field of Fractions of Torsion-Free Nilpotent Group Algebras. ALGEBRAS AND REPRESENTATION THEORY, v. 23, n. 3, p. 605-619, JUN 2020. Web of Science Citations: 0. (15/09162-9)
GIAMBRUNO, ANTONIO; MILIES, CESAR POLCINO; ZAICEV, MIKHAIL. A characterization of fundamental algebras through S-n-characters. Journal of Algebra, v. 541, p. 51-60, JAN 1 2020. Web of Science Citations: 0. (15/09162-9)
FERREIRA, VITOR O.; FORNAROLI, ERICA Z.; GONCALVES, JAIRO Z.. Free algebras in division rings with an involution. Journal of Algebra, v. 509, p. 292-306, SEP 1 2018. Web of Science Citations: 1. (09/52665-0)
CHALOM, GLADYS; FERRAZ, RAUL ANTONIO; GUERREIRO, MARINES. Minimal ideals in finite abelian group algebras and coding theory. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 10, n. 2, p. 321-340, DEC 2016. Web of Science Citations: 0. (09/52665-0)
DOKUCHAEV, MIKHAILO; KIRICHENKO, VLADIMIR; KUDRYAVTSEVA, GANNA; PLAKHOTNYK, MAKAR. The max-plus algebra of exponent matrices of tiled orders. Journal of Algebra, v. 490, p. 1-20, NOV 15 2017. Web of Science Citations: 0. (15/09162-9, 13/11350-2, 15/16726-6, 14/23853-1)
GONCALVES, JAIRO Z.. Free pairs of symmetric and unitary units in normal subgroups of a division ring. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 16, n. 6, JUN 2017. Web of Science Citations: 1. (15/09162-9)
GOODAIRE, EDGAR G.; MILIES, CESAR POLCINO. NORMALITY OF f-UNITARY UNITS IN AN ALTERNATIVE LOOP RING. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 5, n. 4, p. 537-548, AUG 2006. Web of Science Citations: 1. (00/07291-0, 04/00866-9)
BELL, JASON P.; GONCALVES, JAIRO Z.. Free algebras and free groups in Ore extensions and free group algebras in division rings. Journal of Algebra, v. 455, p. 235-250, JUN 1 2016. Web of Science Citations: 2. (09/52665-0)
GONCALVES, J. Z.; PASSMAN, D. S.. EXPLICIT FREE GROUPS IN DIVISION RINGS. Proceedings of the American Mathematical Society, v. 143, n. 2, p. 459-468, FEB 2015. Web of Science Citations: 6. (09/52665-0)
GONCALVES, J. Z.; PASSMAN, D. S.. INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 10, n. 4, p. 711-725, AUG 2011. Web of Science Citations: 1. (09/52665-0)
GOODAIRE‚ E.G.; MILIES‚ {\’C}.P.. Moufang unit loops torsion over their centres. Quaestiones Mathematicae, v. 25, n. 1, p. 1-12, 2002. (98/13127-7)
FERREIRA, VITOR O.; GONCALVES, JAIRO Z.; SANCHEZ, JAVIER. Free symmetric group algebras in division rings generated by poly-orderable groups. Journal of Algebra, v. 392, p. 69-84, OCT 15 2013. Web of Science Citations: 4. (09/52665-0, 09/50886-0)
GIAMBRUNO, ANTONIO; SOUZA, MANUELA DA SILVA. Minimal varieties of graded Lie algebras of exponential growth and the special Lie algebra sl(2). Journal of Pure and Applied Algebra, v. 218, n. 8, p. 1517-1527, AUG 2014. Web of Science Citations: 1. (13/04590-7)
FERRAZ, RAUL ANTONIO; GUERREIRO, MARINES; MILIES, CESAR POLCINO. G-Equivalence in Group Algebras and Minimal Abelian Codes. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 60, n. 1, p. 252-260, JAN 2014. Web of Science Citations: 2. (09/52665-0)
GOODAIRE, EDGAR G.; MILIES, CESAR POLCINO. ORIENTED GROUP INVOLUTIONS AND ANTICOMMUTATIVITY IN GROUP RINGS. COMMUNICATIONS IN ALGEBRA, v. 42, n. 4, p. 1657-1667, APR 3 2014. Web of Science Citations: 0. (11/50046-1, 09/52665-0)
DOKUCHAEV, MIKHAILO; KHRYPCHENKO, MYKOLA; KUDRYAVTSEVA, GANNA. Partial actions and proper extensions of two-sided restriction semigroups. Journal of Pure and Applied Algebra, v. 225, n. 9, SEP 2021. Web of Science Citations: 0. (15/09162-9)
FERRAZ, RAUL ANTONIO; FERREIRA, RUTH NASCIMENTO. One-weight codes in some classes of group rings. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, NOV 2020. Web of Science Citations: 0. (15/09162-9)
GONCALVES, JAIRO Z.. Free pairs of symmetric and unitary units in normal subgroups of a division ring. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 16, n. 6, JUN 2017. Web of Science Citations: 1. (15/09162-9)
GONCALVES, J. Z.; PASSMAN, D. S.. INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 10, n. 4, p. 711-725, AUG 2011. Web of Science Citations: 1. (09/52665-0)
FERRAZ, RAUL ANTONIO. Simple components of the center of FG/J(FG). COMMUNICATIONS IN ALGEBRA, v. 36, n. 9, p. 3191-3199, 2008. Web of Science Citations: 4. (04/15319-3)
GOODAIRE‚ E.G.; MILIES‚ {\’C}.P.. Moufang unit loops torsion over their centres. Quaestiones Mathematicae, v. 25, n. 1, p. 1-12, 2002. (98/13127-7)
DOKUCHAEV‚ M.A.; MILIES‚ C.P.; SEHGAL‚ SK. Isomorphisms of partial group rings. Glasgow Mathematical Journal, v. 46, n. 1, p. 161-168, 2004. (00/07291-0)
GONCALVES, J. Z.; TENGAN, E.. FREE GROUP ALGEBRAS IN DIVISION RINGS. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 22, n. 5, AUG 2012. Web of Science Citations: 4. (09/52665-0)
GIAMBRUNO, ANTONIO; MILIES, CESAR POLCINO; SEHGAL, SUDARSHAN K.. Star-group identities and groups of units. ARCHIV DER MATHEMATIK, v. 95, n. 6, p. 501-508, DEC 2010. Web of Science Citations: 7. (09/52665-0)
GIAMBRUNO, A.; MILIES, C. POLCINO; SEHGAL, SUDARSHAN K.. Lie properties of symmetric elements in group rings. Journal of Algebra, v. 321, n. 3, p. 890-902, FEB 1 2009. Web of Science Citations: 25. (05/60411-8)
GONCALVES, J. Z.; SHIRVANI, M.. A SURVEY ON FREE OBJECTS IN DIVISION RINGS AND IN DIVISION RINGS WITH AN INVOLUTION. COMMUNICATIONS IN ALGEBRA, v. 40, n. 5, p. 1704-1723, 2012. Web of Science Citations: 14. (09/52665-0)
GONCALVES, JAIRO Z.. Constructing free groups in a normal subgroup of the multiplicative group of division rings. Journal of Group Theory, v. 18, n. 5, p. 829-843, SEP 2015. Web of Science Citations: 2. (09/52665-0)
MILIES, CESAR POLCINO; DE MELO, FERNANDA DINIZ. On Cyclic and Abelian Codes. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 59, n. 11, p. 7314-7319, NOV 2013. Web of Science Citations: 4. (09/52665-0)
GOODAIRE, EDGAR G.; MILIES, CESAR POLCINO. Involutions and Anticommutativity in Group Rings. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, v. 56, n. 2, p. 344-353, JUN 2013. Web of Science Citations: 4. (04/15319-3, 08/57553-3)
FERRAZ, RAUL ANTONIO; JACOBO SIMON-PINERO, JUAN. CENTRAL UNITS IN METACYCLIC INTEGRAL GROUP RINGS. COMMUNICATIONS IN ALGEBRA, v. 36, n. 10, p. 3708-3722, 2008. Web of Science Citations: 8. (00/07291-0)
GIAMBRUNO, A.; MILIES, C. POLCINO; SEHGAL, SUDARSHAN K.. Group algebras of torsion groups and Lie nilpotence. Journal of Group Theory, v. 13, n. 2, p. 221-231, MAR 2010. Web of Science Citations: 12. (05/60411-8)
FERRAZ, RAUL ANTONIO; JACOBO SIMON, JUAN. CENTRAL UNITS IN ZCp,q. COMMUNICATIONS IN ALGEBRA, v. 44, n. 5, p. 2264-2275, 2016. Web of Science Citations: 0. (00/07291-0)
FERREIRA, VITOR O.; GONCALVES, JAIRO Z.. Free symmetric and unitary pairs in division rings infinite-dimensional over their centers. Israel Journal of Mathematics, v. 210, n. 1, p. 297-321, SEP 2015. Web of Science Citations: 4. (09/52665-0)
CASTILLO GOMEZ, JOHN H.; MILIES, CESAR POLCINO. LIE PROPERTIES OF SYMMETRIC ELEMENTS UNDER ORIENTED INVOLUTIONS. COMMUNICATIONS IN ALGEBRA, v. 40, n. 12, p. 4404-4419, 2012. Web of Science Citations: 4. (09/52665-0)
GIAMBRUNO, A.; POLCINO MILIES, C.; SEHGAL, SUDARSHAN K.. Group algebras and Lie nilpotence. Journal of Algebra, v. 373, p. 276-283, JAN 1 2013. Web of Science Citations: 4. (05/60411-8)
GOODAIRE, EDGAR G.; MILIES, CESAR POLCINO. POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 7, n. 5, p. 593-599, OCT 2008. Web of Science Citations: 1. (05/60411-8)
GIAMBRUNO, A.; MILIES, C. POLCINO; SEHGAL, SUDARSHAN K.. Group identities on symmetric units. Journal of Algebra, v. 322, n. 8, p. 2801-2815, OCT 15 2009. Web of Science Citations: 12. (05/60411-8)
BELL, JASON P.; GONCALVES, JAIRO Z.. Free algebras and free groups in Ore extensions and free group algebras in division rings. Journal of Algebra, v. 455, p. 235-250, JUN 1 2016. Web of Science Citations: 2. (09/52665-0)
GONCALVES, J. Z.; PASSMAN, D. S.. EXPLICIT FREE GROUPS IN DIVISION RINGS. Proceedings of the American Mathematical Society, v. 143, n. 2, p. 459-468, FEB 2015. Web of Science Citations: 6. (09/52665-0)
GONCALVES, J. Z.; PASSMAN, D. S.. INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 10, n. 4, p. 711-725, AUG 2011. Web of Science Citations: 1. (09/52665-0)
GOODAIRE‚ E.G.; MILIES‚ {\’C}.P.. Moufang unit loops torsion over their centres. Quaestiones Mathematicae, v. 25, n. 1, p. 1-12, 2002. (98/13127-7)
FERREIRA, VITOR O.; GONCALVES, JAIRO Z.; SANCHEZ, JAVIER. Free symmetric group algebras in division rings generated by poly-orderable groups. Journal of Algebra, v. 392, p. 69-84, OCT 15 2013. Web of Science Citations: 4. (09/52665-0, 09/50886-0)
GIAMBRUNO, ANTONIO; SOUZA, MANUELA DA SILVA. Minimal varieties of graded Lie algebras of exponential growth and the special Lie algebra sl(2). Journal of Pure and Applied Algebra, v. 218, n. 8, p. 1517-1527, AUG 2014. Web of Science Citations: 1. (13/04590-7)
FERRAZ, RAUL ANTONIO; GUERREIRO, MARINES; MILIES, CESAR POLCINO. G-Equivalence in Group Algebras and Minimal Abelian Codes. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 60, n. 1, p. 252-260, JAN 2014. Web of Science Citations: 2. (09/52665-0)
GOODAIRE, EDGAR G.; MILIES, CESAR POLCINO. ORIENTED GROUP INVOLUTIONS AND ANTICOMMUTATIVITY IN GROUP RINGS. COMMUNICATIONS IN ALGEBRA, v. 42, n. 4, p. 1657-1667, APR 3 2014. Web of Science Citations: 0. (11/50046-1, 09/52665-0)