# zbMATH — the first resource for mathematics

## Gonçalves, Jairo Zacarias

Compute Distance To:
 Author ID: goncalves.jairo-zacarias Published as: Gonçalves, Jairo Z.; Gonçalves, J. Z.; Gonçalves, Jairo Zacarias; Goncalves, Jairo Z.; Gonçalves, Jairo; Goncalves, Jairo Zacarias; Goncalves, J. External Links: MGP
 Documents Indexed: 65 Publications since 1983
all top 5

#### Co-Authors

 12 single-authored 13 Shirvani, Mazi 12 Passman, Donald Steven 9 Mandel, Arnaldo 6 Ferreira, Vitor O. 5 del Río, Angel 3 Sánchez, Javier 2 Bell, Jason P. 2 Dokuchaev, Mikhailo 2 Tengan, Eduardo 2 Veloso, Paula Murgel 1 Broche, Osnel 1 Figueiredo, L. M. V. 1 Fornaroli, Érica Zancanella 1 Giambruno, Antonio 1 Guralnick, Robert Michael 1 Lichtman, Alexander I. 1 Ritter, Jürgen 1 Sehgal, Sudarshan Kumar 1 Shestakov, Ivan Pavlovich 1 Sidki, Said Najati
all top 5

#### Serials

 13 Journal of Algebra 10 Communications in Algebra 6 Proceedings of the American Mathematical Society 5 International Journal of Algebra and Computation 3 Israel Journal of Mathematics 3 Archiv der Mathematik 3 Canadian Mathematical Bulletin 3 Journal of Group Theory 3 Journal of Algebra and its Applications 2 Bulletin of the Australian Mathematical Society 2 São Paulo Journal of Mathematical Sciences 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Forum Mathematicum 1 Algebras and Representation Theory
all top 5

#### Fields

 62 Associative rings and algebras (16-XX) 51 Group theory and generalizations (20-XX) 5 Field theory and polynomials (12-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX)

#### Citations contained in zbMATH Open

54 Publications have been cited 358 times in 127 Documents Cited by Year
Free groups in subnormal subgroups and the residual nilpotence of the group of units of group rings. Zbl 0522.16011
Gonçalves, Jairo Z.
1984
Free subgroups of units in group rings. Zbl 0513.16007
Gonçalves, Jairo Zacarias
1984
Are there free groups in division rings? Zbl 0597.16017
Gonçalves, Jairo Z.; Mandel, Arnaldo
1986
Free products of units in algebras. I: Quaternion algebras. Zbl 0934.16026
Gonçalves, Jairo Z.; Mandel, Arnaldo; Shirvani, Mazi
1999
Unitary units in group algebras. Zbl 1013.16020
Gonçalves, J. Z.; Passman, D. S.
2001
Linear groups and group rings. Zbl 1094.20027
Gonçalves, J. Z.; Passman, D. S.
2006
A survey on free objects in division rings and in division rings with an involution. Zbl 1259.16017
Gonçalves, J. Z.; Shirvani, M.
2012
On free group algebras in division rings with uncountable center. Zbl 0844.16012
Goncalves, J.; Shirvani, M.
1996
Construction of free subgroups in the group of units of modular group algebras. Zbl 0929.16031
Gonçalves, Jairo Z.; Passman, Donald S.
1996
Free symmetric and unitary pairs in division rings with involution. Zbl 1088.16022
Ferreira, Vitor O.; Gonçalves, Jairo Z.; Mandel, Arnaldo
2005
Free group algebras in certain division rings. Zbl 0866.16011
Figueiredo, L. M. V.; Gonçalves, J. Z.; Shirvani, M.
1996
Free groups in normal subgroups of the multiplicative group of a division ring. Zbl 1335.16024
Gonçalves, Jairo Z.; Passman, Donald S.
2015
Free products of units in algebras. II: Crossed products. Zbl 0983.16026
Gonçalves, Jairo Z.; Mandel, Arnaldo; Shirvani, Mazi
2000
Embedding free products in the unit group of an integral group ring. Zbl 1064.16030
Gonçalves, J. Z.; Passman, D. S.
2004
Free symmetric and unitary pairs in central simple algebras with involution. Zbl 1122.16028
Gonçalves, J. Z.; Shirvani, M.
2006
Large free algebras in the ring of fractions of skew polynomial rings. Zbl 0983.16023
Shirvani, M.; Gonçalves, J. Z.
1999
Semigroup identities on units of group algebras. Zbl 0780.16026
Gonçalves, J. Z.; Mandel, A.
1991
Bicyclic units, Bass cyclic units and free groups. Zbl 1144.16024
Gonçalves, Jairo Z.; del Río, Ángel
2008
Involutions and free pairs of bicyclic units in integral group rings. Zbl 1209.16031
Gonçalves, J. Z.; Passman, D. S.
2010
Free group algebras in the field of fractions of differential polynomial rings and enveloping algebras. Zbl 0932.16029
Shirvani, M.; Gonçalves, J. Z.
1998
Free symmetric and unitary pairs in division rings infinite-dimensional over their centers. Zbl 1341.16036
Ferreira, Vitor O.; Gonçalves, Jairo Z.
2015
Explicit free groups in division rings. Zbl 1317.16013
Gonçalves, J. Z.; Passman, D. S.
2015
Free symmetric group algebras in division rings generated by poly-orderable groups. Zbl 1311.16014
Ferreira, Vitor O.; Gonçalves, Jairo Z.; Sánchez, Javier
2013
Free algebras in division rings with an involution. Zbl 1440.16020
Ferreira, Vitor O.; Fornaroli, Érica Z.; Gonçalves, Jairo Z.
2018
Free unit groups in group algebras. Zbl 1003.16027
Gonçalves, J. Z.; Passman, D. S.
2001
Identities on units of algebraic algebras. Zbl 1002.16019
Dokuchaev, M. A.; Gonçalves, J. Z.
2002
Free subgroups in division rings generated by group rings of soluble groups. Zbl 1325.16034
Gonçalves, Jairo Z.; Lichtman, A. I.
2014
Subnormal subgroups in $$U(\mathbb ZG)$$. Zbl 0658.16005
Gonçalves, Jairo; Ritter, Jürgen; Sehgal, Sudarshan
1988
Rings with algebraic $$n$$-Engel elements. Zbl 0806.16036
Giambruno, A.; Gonçalves, J. Z.; Mandel, A.
1994
Free unit groups in algebras. Zbl 1022.16022
Gonçalves, J. Z.; Passman, D. S.
2003
Bass cyclic units as factors in a free group in integral group ring units. Zbl 1236.16035
Gonçalves, Jairo Z.; del Río, Ángel
2011
Free algebras and free groups in Ore extensions and free group algebras in division rings. Zbl 1348.16014
Bell, Jason P.; Gonçalves, Jairo Z.
2016
A survey on free subgroups in the group of units of group rings. Zbl 1279.16031
Gonçalves, Jairo Z.; del Río, Ángel
2013
Constructing free groups in a normal subgroup of the multiplicative group of division rings. Zbl 1335.16023
Gonçalves, Jairo Z.
2015
Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras. Zbl 1354.16018
Ferreira, Vitor O.; Gonçalves, Jairo Z.; Sánchez, Javier
2015
Free group algebras in division rings. Zbl 1259.16018
Gonçalves, J. Z.; Tengan, E.
2012
Free subgroups in the group of units of group rings. II. Zbl 0607.16007
Gonçalves, Jairo Zacarias
1985
Free subgroups and the residual nilpotence of the group of units of modular and p-adic group rings. Zbl 0553.16007
Gonçalves, Jairo Zacarias
1986
Normal and subnormal subgroups in the group of units of group rings. Zbl 0572.16004
Goncalves, Jairo Zacarias
1985
Group rings with solvable unit groups. Zbl 0579.20006
Gonçalves, Jairo Zacarias
1986
Free subgroups in the group of units of a twisted group algebra. Zbl 1005.16030
Gonçalves, Jairo Z.; Mandel, Arnaldo
2001
Free k-tuples in linear groups. Zbl 0513.20037
Mandel, Arnaldo; Goncalves, Jairo Z.
1983
Semigroup identities on units of integral group rings. Zbl 0941.16018
Dokuchaev, Michael A.; Gonçalves, Jairo Z.
1997
Algebraic elements as free factors in simple Artinian rings. Zbl 1189.16029
Gonçalves, Jairo Z.; Shirvani, Mazi
2009
A note on free groups in the ring of fractions of skew polynomial rings. Zbl 1187.16017
Gonçalves, J. Z.; Tengan, E.
2009
Involutions and free pairs of Bass cyclic units in integral group rings. Zbl 1267.16034
Gonçalves, J. Z.; Passman, D. S.
2011
Free groups in a normal subgroup of the field of fractions of a skew polynomial ring. Zbl 1388.16019
Goncalves, Jairo Z.
2017
Free pairs of symmetric and unitary units in normal subgroups of a division ring. Zbl 1367.16017
Goncalves, Jairo Z.
2017
Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups. Zbl 1356.16018
Gonçalves, J. Z.; Passman, D. S.
2015
Free products arising from elements of finite order in simple rings. Zbl 1071.16013
Shirvani, M.; Gonçalves, J. Z.
2005
Free groups in central simple algebras without Tits’ theorem. Zbl 1151.16022
Gonçalves, J. Z.; Shirvani, M.
2008
Special units, unipotent units and free groups in group algebras. Zbl 1195.16036
Gonçalves, Jairo Z.; Veloso, Paula M.
2009
Alternating units as free factors in the group of units of integral group rings. Zbl 1234.16026
Gonçalves, Jairo Z.; Veloso, Paula M.
2011
Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras. Zbl 1445.16022
Ferreira, Vitor O.; Gonçalves, Jairo Z.; Sánchez, Javier
2020
Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras. Zbl 1445.16022
Ferreira, Vitor O.; Gonçalves, Jairo Z.; Sánchez, Javier
2020
Free algebras in division rings with an involution. Zbl 1440.16020
Ferreira, Vitor O.; Fornaroli, Érica Z.; Gonçalves, Jairo Z.
2018
Free groups in a normal subgroup of the field of fractions of a skew polynomial ring. Zbl 1388.16019
Goncalves, Jairo Z.
2017
Free pairs of symmetric and unitary units in normal subgroups of a division ring. Zbl 1367.16017
Goncalves, Jairo Z.
2017
Free algebras and free groups in Ore extensions and free group algebras in division rings. Zbl 1348.16014
Bell, Jason P.; Gonçalves, Jairo Z.
2016
Free groups in normal subgroups of the multiplicative group of a division ring. Zbl 1335.16024
Gonçalves, Jairo Z.; Passman, Donald S.
2015
Free symmetric and unitary pairs in division rings infinite-dimensional over their centers. Zbl 1341.16036
Ferreira, Vitor O.; Gonçalves, Jairo Z.
2015
Explicit free groups in division rings. Zbl 1317.16013
Gonçalves, J. Z.; Passman, D. S.
2015
Constructing free groups in a normal subgroup of the multiplicative group of division rings. Zbl 1335.16023
Gonçalves, Jairo Z.
2015
Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras. Zbl 1354.16018
Ferreira, Vitor O.; Gonçalves, Jairo Z.; Sánchez, Javier
2015
Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups. Zbl 1356.16018
Gonçalves, J. Z.; Passman, D. S.
2015
Free subgroups in division rings generated by group rings of soluble groups. Zbl 1325.16034
Gonçalves, Jairo Z.; Lichtman, A. I.
2014
Free symmetric group algebras in division rings generated by poly-orderable groups. Zbl 1311.16014
Ferreira, Vitor O.; Gonçalves, Jairo Z.; Sánchez, Javier
2013
A survey on free subgroups in the group of units of group rings. Zbl 1279.16031
Gonçalves, Jairo Z.; del Río, Ángel
2013
A survey on free objects in division rings and in division rings with an involution. Zbl 1259.16017
Gonçalves, J. Z.; Shirvani, M.
2012
Free group algebras in division rings. Zbl 1259.16018
Gonçalves, J. Z.; Tengan, E.
2012
Bass cyclic units as factors in a free group in integral group ring units. Zbl 1236.16035
Gonçalves, Jairo Z.; del Río, Ángel
2011
Involutions and free pairs of Bass cyclic units in integral group rings. Zbl 1267.16034
Gonçalves, J. Z.; Passman, D. S.
2011
Alternating units as free factors in the group of units of integral group rings. Zbl 1234.16026
Gonçalves, Jairo Z.; Veloso, Paula M.
2011
Involutions and free pairs of bicyclic units in integral group rings. Zbl 1209.16031
Gonçalves, J. Z.; Passman, D. S.
2010
Algebraic elements as free factors in simple Artinian rings. Zbl 1189.16029
Gonçalves, Jairo Z.; Shirvani, Mazi
2009
A note on free groups in the ring of fractions of skew polynomial rings. Zbl 1187.16017
Gonçalves, J. Z.; Tengan, E.
2009
Special units, unipotent units and free groups in group algebras. Zbl 1195.16036
Gonçalves, Jairo Z.; Veloso, Paula M.
2009
Bicyclic units, Bass cyclic units and free groups. Zbl 1144.16024
Gonçalves, Jairo Z.; del Río, Ángel
2008
Free groups in central simple algebras without Tits’ theorem. Zbl 1151.16022
Gonçalves, J. Z.; Shirvani, M.
2008
Linear groups and group rings. Zbl 1094.20027
Gonçalves, J. Z.; Passman, D. S.
2006
Free symmetric and unitary pairs in central simple algebras with involution. Zbl 1122.16028
Gonçalves, J. Z.; Shirvani, M.
2006
Free symmetric and unitary pairs in division rings with involution. Zbl 1088.16022
Ferreira, Vitor O.; Gonçalves, Jairo Z.; Mandel, Arnaldo
2005
Free products arising from elements of finite order in simple rings. Zbl 1071.16013
Shirvani, M.; Gonçalves, J. Z.
2005
Embedding free products in the unit group of an integral group ring. Zbl 1064.16030
Gonçalves, J. Z.; Passman, D. S.
2004
Free unit groups in algebras. Zbl 1022.16022
Gonçalves, J. Z.; Passman, D. S.
2003
Identities on units of algebraic algebras. Zbl 1002.16019
Dokuchaev, M. A.; Gonçalves, J. Z.
2002
Unitary units in group algebras. Zbl 1013.16020
Gonçalves, J. Z.; Passman, D. S.
2001
Free unit groups in group algebras. Zbl 1003.16027
Gonçalves, J. Z.; Passman, D. S.
2001
Free subgroups in the group of units of a twisted group algebra. Zbl 1005.16030
Gonçalves, Jairo Z.; Mandel, Arnaldo
2001
Free products of units in algebras. II: Crossed products. Zbl 0983.16026
Gonçalves, Jairo Z.; Mandel, Arnaldo; Shirvani, Mazi
2000
Free products of units in algebras. I: Quaternion algebras. Zbl 0934.16026
Gonçalves, Jairo Z.; Mandel, Arnaldo; Shirvani, Mazi
1999
Large free algebras in the ring of fractions of skew polynomial rings. Zbl 0983.16023
Shirvani, M.; Gonçalves, J. Z.
1999
Free group algebras in the field of fractions of differential polynomial rings and enveloping algebras. Zbl 0932.16029
Shirvani, M.; Gonçalves, J. Z.
1998
Semigroup identities on units of integral group rings. Zbl 0941.16018
Dokuchaev, Michael A.; Gonçalves, Jairo Z.
1997
On free group algebras in division rings with uncountable center. Zbl 0844.16012
Goncalves, J.; Shirvani, M.
1996
Construction of free subgroups in the group of units of modular group algebras. Zbl 0929.16031
Gonçalves, Jairo Z.; Passman, Donald S.
1996
Free group algebras in certain division rings. Zbl 0866.16011
Figueiredo, L. M. V.; Gonçalves, J. Z.; Shirvani, M.
1996
Rings with algebraic $$n$$-Engel elements. Zbl 0806.16036
Giambruno, A.; Gonçalves, J. Z.; Mandel, A.
1994
Semigroup identities on units of group algebras. Zbl 0780.16026
Gonçalves, J. Z.; Mandel, A.
1991
Subnormal subgroups in $$U(\mathbb ZG)$$. Zbl 0658.16005
Gonçalves, Jairo; Ritter, Jürgen; Sehgal, Sudarshan
1988
Are there free groups in division rings? Zbl 0597.16017
Gonçalves, Jairo Z.; Mandel, Arnaldo
1986
Free subgroups and the residual nilpotence of the group of units of modular and p-adic group rings. Zbl 0553.16007
Gonçalves, Jairo Zacarias
1986
Group rings with solvable unit groups. Zbl 0579.20006
Gonçalves, Jairo Zacarias
1986
Free subgroups in the group of units of group rings. II. Zbl 0607.16007
Gonçalves, Jairo Zacarias
1985
Normal and subnormal subgroups in the group of units of group rings. Zbl 0572.16004
Goncalves, Jairo Zacarias
1985
Free groups in subnormal subgroups and the residual nilpotence of the group of units of group rings. Zbl 0522.16011
Gonçalves, Jairo Z.
1984
Free subgroups of units in group rings. Zbl 0513.16007
Gonçalves, Jairo Zacarias
1984
Free k-tuples in linear groups. Zbl 0513.20037
Mandel, Arnaldo; Goncalves, Jairo Z.
1983
all top 5

#### Cited by 92 Authors

 42 Gonçalves, Jairo Zacarias 12 Jespers, Eric 10 Mai Hoang Bien 9 del Río, Angel 9 Passman, Donald Steven 9 Sehgal, Sudarshan Kumar 8 Sánchez, Javier 7 Ferreira, Vitor O. 7 Shirvani, Mazi 6 Giambruno, Antonio 6 Mahdavi-Hezavehi, M. 6 Ramezan-Nassab, Mojtaba 5 Mandel, Arnaldo 4 Dooms, Ann 4 Kiani, Dariush 4 Lee, Gregory T. 3 Bell, Jason P. 3 Broche, Osnel 3 Bui Xuan Hai 3 Olteanu, Gabriela 3 Riley, David Michael 3 Ruiz, Manuel 3 Valenti, Angela 3 Van Gelder, Inneke 2 Chiba, Katsuo 2 D’Alessandro, Flavio 2 Dokuchaev, Mikhailo 2 Fallah-Moghaddam, R. 2 Fornaroli, Érica Zancanella 2 Konovalov, Alexander B. 2 Liu, Chiahsin 2 Ngoc, Nguyen Kim 2 Polcino Milies, César 2 Raza, Mohd Arif 2 Nadeem-Ur-Rehman 2 Spinelli, Ernesto 2 Tengan, Eduardo 2 Trương Hữu Dũng 1 Aaghabali, Mehdi 1 Alhazmi, Husain 1 Ali, Shakir 1 Artamonov, Vyacheslav Aleksandrovich 1 Bakshi, Gurmeet K. 1 Bergelson, Vitaly 1 Bhandari, Ashwani K. 1 Bois, Jean-Marie 1 Bovdi, Adalbert 1 Bovdi, Victor A. 1 Broche Cristo, Osnel 1 Carderi, Alessandro 1 D’Andrea, Alessandro 1 Dean, Margaret H. 1 Dorbidi, Hamid Reza 1 Ebrahimian, R. 1 Fehlberg Júnior, Renato 1 Ferraz, Raul Antonio 1 Glasscock, Daniel 1 Golçalves, Jairo Z. 1 Guralnick, Robert Michael 1 Herbera, Dolors 1 Huỳnh Việt Khánh 1 Janssens, Geoffrey 1 Juriaans, Stanley Orlando 1 Kaila, Anjana 1 Kaur, Kuldeep 1 Khan, Manju 1 Letzter, Edward S. 1 Lichtman, Alexander I. 1 Maheshwary, Sugandha 1 Mahmoudi, Mohammad Gholamzadeh 1 Makar-Limanov, Leonid G. 1 Marciniak, Zbigniew S. 1 Nguyen-Duy, Khoi Minh 1 Rączka, Feliks 1 Rahman Mozumder, Muzibur 1 Rapinchuk, Andrei S. 1 Reichstein, Zinovy B. 1 Ribeiro Tomaz da Silva, Viviane 1 Rogalski, Daniel 1 Rowen, Louis Halle 1 Ruiz Marín, Manuel 1 Samet-Vaillant, Aryeh Y. 1 Segev, Yoav 1 Siciliano, Salvatore 1 Smoktunowicz, Agata 1 Temmerman, Doryan 1 Thom, Andreas Berthold 1 Veloso, Paula Murgel 1 Vieira, Ana Cristina 1 Viet, Do Hoang 1 Vonessen, Nikolaus 1 Yasamin, S.
all top 5

#### Cited in 34 Serials

 35 Journal of Algebra 21 Communications in Algebra 13 Proceedings of the American Mathematical Society 8 Journal of Algebra and its Applications 7 International Journal of Algebra and Computation 5 Archiv der Mathematik 2 Bulletin of the Australian Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Forum Mathematicum 2 St. Petersburg Mathematical Journal 2 Journal of Group Theory 2 Algebras and Representation Theory 1 Israel Journal of Mathematics 1 Mathematics of Computation 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Results in Mathematics 1 Bulletin of the Korean Mathematical Society 1 Linear Algebra and its Applications 1 Algebra Colloquium 1 Mathematica Moravica 1 Communications of the Korean Mathematical Society 1 Kragujevac Journal of Mathematics 1 International Electronic Journal of Algebra (IEJA) 1 Journal of $$K$$-Theory 1 São Paulo Journal of Mathematical Sciences 1 International Journal of Group Theory
all top 5

#### Cited in 13 Fields

 123 Associative rings and algebras (16-XX) 87 Group theory and generalizations (20-XX) 7 Field theory and polynomials (12-XX) 6 Nonassociative rings and algebras (17-XX) 4 Number theory (11-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX)