Edit Profile Peresi, Luiz Antonio Compute Distance To: Compute Author ID: peresi.luiz-antonio Published as: Peresi, L. A.; Peresi, Luiz A.; Peresi, Luiz Antonio Documents Indexed: 49 Publications since 1986, including 1 Book all top 5 Co-Authors 9 single-authored 25 Hentzel, Irvin Roy 13 Bremner, Murray R. 7 Correa, Ivan 2 Costa, Roberto Celso Fabricio 2 Giuliani, Osmar Francisco 2 Juriaans, Stanley Orlando 2 Pokrass Jacobs, David 2 Usefi, Hamid 1 Baeza Vega, R. 1 Grishkov, Alexander Nikolaevich 1 Guzzo, Henrique jun. 1 Holgate, Philip 1 Julca, Pedro Pablo 1 Madariaga, Sara 1 Sánchez Ortega, Juana 1 Sverchkov, Sergei Robertovich 1 Tvalavadze, Marina V. all top 5 Serials 9 Linear Algebra and its Applications 8 Communications in Algebra 6 Journal of Algebra 3 Algebras, Groups and Geometries 2 Linear and Multilinear Algebra 2 Archiv der Mathematik 2 Commentationes Mathematicae Universitatis Carolinae 2 Experimental Mathematics 2 International Journal of Mathematics, Game Theory and Algebra 1 Mathematical Biosciences 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Matemática Contemporânea 1 East-West Journal of Mathematics 1 Lecture Notes in Pure and Applied Mathematics 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 49 Nonassociative rings and algebras (17-XX) 7 Group theory and generalizations (20-XX) 6 Associative rings and algebras (16-XX) 4 Biology and other natural sciences (92-XX) 3 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 38 Publications have been cited 170 times in 106 Documents Cited by ▼ Year ▼ Special identities for quasi-Jordan algebras. Zbl 1241.17032Bremner, Murray R.; Peresi, Luiz A. 15 2011 Identities of Cayley-Dickson algebras. Zbl 0890.17001Hentzel, Irvin R.; Peresi, Luiz A. 12 1997 An application of lattice basis reduction to polynomial identities for algebraic structures. Zbl 1173.17001Bremner, Murray R.; Peresi, Luiz A. 11 2009 Solvability of the ideal of all weight zero elements in Bernstein algebras. Zbl 0818.17037Hentzel, Irvin Roy; Jacobs, David Pokrass; Peresi, Luiz Antonio; Sverchkov, Sergei Robertovich 11 1994 Semi-prime Bernstein algebras. Zbl 0643.17018Hentzel, Irvin Roy; Peresi, Luiz Antonio 11 1989 On the solvability of the commutative power-associative nilalgebras of dimension 6. Zbl 1109.17302Correa, Ivan; Hentzel, Irvin Roy; Peresi, Luiz Antonio 9 2003 Classification of trilinear operations. Zbl 1172.17003Bremner, Murray R.; Peresi, Luiz A. 8 2007 On the solvability of the five-dimensional commutative power-associative nilalgebras. Zbl 0983.17002Correa, Ivan; Peresi, Luiz Antonio 8 2001 Nilpotency in Bernstein algebras. Zbl 0692.17013Peresi, Luiz A. 8 1991 Nonhomogeneous subalgebras of Lie and special Jordan superalgebras. Zbl 1196.17025Bremner, Murray R.; Peresi, Luiz A. 6 2009 Almost Jordan rings. Zbl 0716.17033Hentzel, Irvin Roy; Peresi, Luiz Antonio 6 1988 Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions. Zbl 1438.17001Bremner, Murray R.; Madariaga, Sara; Peresi, Luiz A. 5 2016 Dimension formulas for the free nonassociative algebra. Zbl 1145.17300Bremner, Murray R.; Hentzel, Irvin R.; Peresi, Luiz A. 5 2005 On \(k\)th-order Bernstein algebras and stability at the \(k+1\) generation in polyploids. Zbl 0726.17040Hentzel, Irvin Roy; Peresi, Luiz Antonio; Holgate, Philip 5 1990 Degree three, four, and five identities of quadratic algebras. Zbl 0915.17003Hentzel, Irvin Roy; Peresi, Luiz Antonio 4 1998 On baric algebras with prescribed automorphisms. Zbl 0586.17014Peresi, Luiz A. 4 1986 Higher identities for the ternary commutator. Zbl 1280.17005Bremner, M. R.; Peresi, L. A. 3 2012 Ternary analogues of Lie and Malcev algebras. Zbl 1093.17001Bremner, Murray R.; Peresi, Luiz A. 3 2006 Nilpotent linear transformations and the solvability of power-associative nilalgebras. Zbl 1066.17001Correa, Ivan; Hentzel, Irvin Roy; Julca, Pedro Pablo; Peresi, Luiz Antonio 3 2005 A basis for free assosymmetric algebras. Zbl 0856.17003Hentzel, Irvin Roy; Jacobs, David Pokrass; Peresi, Luiz Antonio 3 1996 Minimal identities of Bernstein algebras. Zbl 0794.17017Correa, Ivan; Hentzel, Irvin Roy; Peresi, Luiz Antonio 3 1994 A note on duplication of algebras. Zbl 0651.17013Peresi, Luiz A. 3 1988 Malcev dialgebras. Zbl 1280.17030Bremner, Murray R.; Peresi, Luiz A.; Sánchez-Ortega, Juana 2 2012 Special identities for Bol algebras. Zbl 1258.17006Hentzel, Irvin R.; Peresi, Luiz A. 2 2012 Enveloping algebras of Malcev algebras. Zbl 1224.17034Bremner, M. R.; Hentzel, I. R.; Peresi, L. A.; Tvalavadze, M. V.; Usefi, H. 2 2010 Polynomial identities for the ternary cyclic sum. Zbl 1188.17003Bremner, Murray R.; Peresi, Luiz A. 2 2009 Nuclear elements of degree 6 in the free alternative algebra. Zbl 1208.17024Hentzel, I. R.; Peresi, L. A. 2 2008 Central elements of minimal degree in the free alternative algebra. Zbl 1360.17034Hentzel, Irvin Roy; Peresi, Luiz Antonio 2 2006 The nucleus of the free alternative algebra. Zbl 1147.17006Hentzel, I. R.; Peresi, L. A. 2 2006 A nonzero element of degree 7 in the center of the free alternative algebra. Zbl 1025.17011Hentzel, Irvin Roy; Peresi, Luiz Antonio 2 2003 Universal enveloping algebras of the four-dimensional Malcev algebra. Zbl 1209.17028Bremner, Murray R.; Hentzel, Irvin R.; Peresi, Luiz A.; Usefi, Hamid 1 2009 A variety containing Jordan and pseudo-composition algebras. Zbl 1138.17303Hentzel, Irvin Roy; Peresi, Luiz Antonio 1 2004 Polynomial identities of RA2 loop algebras. Zbl 0923.17004Juriaans, S. O.; Peresi, L. A. 1 1999 Shape identities in Bernstein algebras. Zbl 0885.17025Baeza-Vega, R.; Correa, I.; Costa, R.; Peresi, L. A. 1 1997 Minimal polynomial identities of baric algebras. Zbl 0819.17025Peresi, Luiz Antonio 1 1994 Bernstein algebras given by symmetric bilinear forms. Zbl 0723.17029Hentzel, Irvin Roy; Peresi, Luiz Antonio 1 1991 The derivation algebra of gametic algebra for linked loci. Zbl 0662.92014Peresi, Luiz A. 1 1988 On derivations of baric algebras with prescribed automorphisms. Zbl 0651.17014Peresi, Luiz A. 1 1988 Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions. Zbl 1438.17001Bremner, Murray R.; Madariaga, Sara; Peresi, Luiz A. 5 2016 Higher identities for the ternary commutator. Zbl 1280.17005Bremner, M. R.; Peresi, L. A. 3 2012 Malcev dialgebras. Zbl 1280.17030Bremner, Murray R.; Peresi, Luiz A.; Sánchez-Ortega, Juana 2 2012 Special identities for Bol algebras. Zbl 1258.17006Hentzel, Irvin R.; Peresi, Luiz A. 2 2012 Special identities for quasi-Jordan algebras. Zbl 1241.17032Bremner, Murray R.; Peresi, Luiz A. 15 2011 Enveloping algebras of Malcev algebras. Zbl 1224.17034Bremner, M. R.; Hentzel, I. R.; Peresi, L. A.; Tvalavadze, M. V.; Usefi, H. 2 2010 An application of lattice basis reduction to polynomial identities for algebraic structures. Zbl 1173.17001Bremner, Murray R.; Peresi, Luiz A. 11 2009 Nonhomogeneous subalgebras of Lie and special Jordan superalgebras. Zbl 1196.17025Bremner, Murray R.; Peresi, Luiz A. 6 2009 Polynomial identities for the ternary cyclic sum. Zbl 1188.17003Bremner, Murray R.; Peresi, Luiz A. 2 2009 Universal enveloping algebras of the four-dimensional Malcev algebra. Zbl 1209.17028Bremner, Murray R.; Hentzel, Irvin R.; Peresi, Luiz A.; Usefi, Hamid 1 2009 Nuclear elements of degree 6 in the free alternative algebra. Zbl 1208.17024Hentzel, I. R.; Peresi, L. A. 2 2008 Classification of trilinear operations. Zbl 1172.17003Bremner, Murray R.; Peresi, Luiz A. 8 2007 Ternary analogues of Lie and Malcev algebras. Zbl 1093.17001Bremner, Murray R.; Peresi, Luiz A. 3 2006 Central elements of minimal degree in the free alternative algebra. Zbl 1360.17034Hentzel, Irvin Roy; Peresi, Luiz Antonio 2 2006 The nucleus of the free alternative algebra. Zbl 1147.17006Hentzel, I. R.; Peresi, L. A. 2 2006 Dimension formulas for the free nonassociative algebra. Zbl 1145.17300Bremner, Murray R.; Hentzel, Irvin R.; Peresi, Luiz A. 5 2005 Nilpotent linear transformations and the solvability of power-associative nilalgebras. Zbl 1066.17001Correa, Ivan; Hentzel, Irvin Roy; Julca, Pedro Pablo; Peresi, Luiz Antonio 3 2005 A variety containing Jordan and pseudo-composition algebras. Zbl 1138.17303Hentzel, Irvin Roy; Peresi, Luiz Antonio 1 2004 On the solvability of the commutative power-associative nilalgebras of dimension 6. Zbl 1109.17302Correa, Ivan; Hentzel, Irvin Roy; Peresi, Luiz Antonio 9 2003 A nonzero element of degree 7 in the center of the free alternative algebra. Zbl 1025.17011Hentzel, Irvin Roy; Peresi, Luiz Antonio 2 2003 On the solvability of the five-dimensional commutative power-associative nilalgebras. Zbl 0983.17002Correa, Ivan; Peresi, Luiz Antonio 8 2001 Polynomial identities of RA2 loop algebras. Zbl 0923.17004Juriaans, S. O.; Peresi, L. A. 1 1999 Degree three, four, and five identities of quadratic algebras. Zbl 0915.17003Hentzel, Irvin Roy; Peresi, Luiz Antonio 4 1998 Identities of Cayley-Dickson algebras. Zbl 0890.17001Hentzel, Irvin R.; Peresi, Luiz A. 12 1997 Shape identities in Bernstein algebras. Zbl 0885.17025Baeza-Vega, R.; Correa, I.; Costa, R.; Peresi, L. A. 1 1997 A basis for free assosymmetric algebras. Zbl 0856.17003Hentzel, Irvin Roy; Jacobs, David Pokrass; Peresi, Luiz Antonio 3 1996 Solvability of the ideal of all weight zero elements in Bernstein algebras. Zbl 0818.17037Hentzel, Irvin Roy; Jacobs, David Pokrass; Peresi, Luiz Antonio; Sverchkov, Sergei Robertovich 11 1994 Minimal identities of Bernstein algebras. Zbl 0794.17017Correa, Ivan; Hentzel, Irvin Roy; Peresi, Luiz Antonio 3 1994 Minimal polynomial identities of baric algebras. Zbl 0819.17025Peresi, Luiz Antonio 1 1994 Nilpotency in Bernstein algebras. Zbl 0692.17013Peresi, Luiz A. 8 1991 Bernstein algebras given by symmetric bilinear forms. Zbl 0723.17029Hentzel, Irvin Roy; Peresi, Luiz Antonio 1 1991 On \(k\)th-order Bernstein algebras and stability at the \(k+1\) generation in polyploids. Zbl 0726.17040Hentzel, Irvin Roy; Peresi, Luiz Antonio; Holgate, Philip 5 1990 Semi-prime Bernstein algebras. Zbl 0643.17018Hentzel, Irvin Roy; Peresi, Luiz Antonio 11 1989 Almost Jordan rings. Zbl 0716.17033Hentzel, Irvin Roy; Peresi, Luiz Antonio 6 1988 A note on duplication of algebras. Zbl 0651.17013Peresi, Luiz A. 3 1988 The derivation algebra of gametic algebra for linked loci. Zbl 0662.92014Peresi, Luiz A. 1 1988 On derivations of baric algebras with prescribed automorphisms. Zbl 0651.17014Peresi, Luiz A. 1 1988 On baric algebras with prescribed automorphisms. Zbl 0586.17014Peresi, Luiz A. 4 1986 all cited Publications top 5 cited Publications all top 5 Cited by 98 Authors 25 Bremner, Murray R. 20 Peresi, Luiz Antonio 12 Hentzel, Irvin Roy 8 Madariaga, Sara 7 Ouattara, Moussa 6 Gutiérrez Fernández, Juan Carlos 6 Shestakov, Ivan Pavlovich 5 Sánchez Ortega, Juana 4 González, Santos 4 Martínez López, Consuelo 4 Micali, Artibano 4 Zitan, Fouad 3 Bayara, Joseph 3 Correa, Ivan 3 Felipe, Raúl 3 Guzzo, Henrique jun. 3 Labra, Alicia 3 Pérez-Izquierdo, José María 3 Sverchkov, Sergei Robertovich 2 Bernád, J. Z. 2 Boudi, Nadia 2 Costa, Roberto Celso Fabricio 2 Elgendy, Hader A. 2 Garcia, Claudia I. 2 Giuliani, Osmar Francisco 2 Il’tyakov, A. V. 2 Juriaans, Stanley Orlando 2 Konkobo, Amidou 2 Pozhidaev, Alexander P. 2 Quintero Vanegas, E. O. 2 Saraiva, Paulo 2 Suazo, Avelino 2 Zhukavets, Natalia 1 Attan, Sylvain 1 Baeza Vega, R. 1 Bagherzadeh, Fatemeh 1 Bai, Chengming 1 Behn, Antonio 1 Beites, Patricia D. 1 Benavides, Richard H. 1 Benito, Pilar 1 Bernad, Jorge 1 Bowman, Kevin 1 Burgueño, César 1 Chen, Minru 1 Chibrikov, Evgeny 1 Cortés, Teresa 1 Costa, Rafael A. 1 Dembega, Abdoulaye 1 Douglas, Andrew S. 1 Dzhumadil’daev, Askar Serkulovich 1 Elduque, Alberto 1 Faraz, Muhammad Iftikhar 1 Felipe-Sosa, Raúl 1 Gondal, Muhammad Asif 1 Gradl, Hans 1 Grishkov, Alexander Nikolaevich 1 Henry, Fernando 1 Holgate, Philip 1 Holtkamp, Ralf 1 Hu, Jiaxiong 1 Issa, A. Nourou 1 Julca, Pedro Pablo 1 Kaĭgorodov, Ivan B. 1 Kim, Hyuk 1 Kim, Kyunghee 1 Kinyon, Michael K. 1 Kolesnikov, Pavel Sergeevich 1 Koulibaly, Akry 1 Ladra González, Manuel 1 López-Díaz, María Concepción 1 Makhlouf, Abdenacer 1 Mallol, Cristián 1 Meng, Daoji 1 Montoya, Mary L. R. 1 Mostovoy, Jacob 1 Murakami, Lucia S. I. 1 Nicolás, Alejandro P. 1 Omirov, Bakhrom A. 1 Pokrass Jacobs, David 1 Razzaque, Asima 1 Reed, Mary Lynn 1 Rehman, Inayatur 1 Rozikov, Utkir A. 1 Shah, Syed Tariq 1 Shum, Kar-Ping 1 Towers, David A. 1 Umirbaev, Ualbaĭ Utmakhanbetovich 1 Vargas, José Antonio 1 Varro, Richard 1 Voronin, V. Yu. 1 Voronin, Vasily 1 Walcher, Sebastian 1 Wang, Shikun 1 Wang, Xiaoli 1 Wu, Ke 1 Zhao, Weizhong 1 Zusmanovich, Pasha all top 5 Cited in 29 Serials 33 Communications in Algebra 18 Linear Algebra and its Applications 15 Journal of Algebra 9 Linear and Multilinear Algebra 2 Journal of Mathematical Biology 2 Advances in Mathematics 2 Indagationes Mathematicae. New Series 2 Afrika Matematika 1 Computers & Mathematics with Applications 1 Mathematical Biosciences 1 Nuclear Physics. B 1 Algebra and Logic 1 Archiv der Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Pure and Applied Algebra 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 International Journal of Algebra and Computation 1 Bulletin of the American Mathematical Society. New Series 1 Algebra Colloquium 1 Algebras and Representation Theory 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Journal of Algebra and its Applications 1 European Journal of Pure and Applied Mathematics 1 Journal of Commutative Algebra 1 São Paulo Journal of Mathematical Sciences 1 Bulletin of Mathematical Sciences all top 5 Cited in 15 Fields 105 Nonassociative rings and algebras (17-XX) 10 Associative rings and algebras (16-XX) 9 Group theory and generalizations (20-XX) 9 Biology and other natural sciences (92-XX) 8 Category theory; homological algebra (18-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 2 Topological groups, Lie groups (22-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) Citations by Year