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Curriculum vitae
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born: Palló, 2 August 1935
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secondary school: Uzhgorod,
1950-1954
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university studies:
mathematician, University of Uzhgorod and Lomonosov University (Moscow),
1954-1960
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aspirant: Lomonosov University,
Moscow, 1960-1963
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candidate degree: 1964
title of the thesis: Crossed products of a semigroup and a ring (in
Russian)
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doctor of mathematical science:
1988 (University of Saint Petersburg)
title of the thesis: The structure of unit groups of group rings (in
Russian)
(the Hungarian Academy of Sciences accepted it, 30 June 1993)
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associate professor:
University of Uzhgorod, 1963-1987
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professor: University of Uzhgorod, 1987-1991
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visiting professor: Lajos
Kossuth University, Debrecen, 1991-1994
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professor: University of
Debrecen, 1994-2005
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professor emeritus: since 2005
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field trip:
1966: University of Stuttgart, University of Aachen
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visiting professor:
March-April 1991: University of Ottawa, Alberta University (Canada)
March-December 1998: University of Sao Paulo (Brazil)
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Professor Honoris Causa: University of Uzhgorod,
2006
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prizes:
1989: Outstanding Worker
2001: Tibor Szele Memory Prize
2004: Albert Szent-Györgyi Prize
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knowledge of languages:
Russian (superlative)
Ukrainian (superlative)
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editor of Publicationes Mathematicae Debrecen
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reviewer of Zentralblatt für
Mathematik and Mathematical Reviews
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books:
Adalbert Bovdi, Group rings (in Russian), University of Uzhgorod, Uzhgorod,
1974.
Adalbert Bovdi, Group rings (in Russian), Uchebno-metodicheskij Kabinet
Visheho Obrazovanija, Kiev, 1988.
Adalbert Bovdi, Unit group of group rings over rational integers (in
Russian), University of Uzhgorod, Uzhgorod, 1987.
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lecture notes:
Béla Bódi, Algebra I., Introduction to group theory (in Hungarian),
Kossuth Egyetemi Kiadó, Debrecen.
Béla Bódi, Algebra II., Introduction to ring theory (in Hungarian),
Kossuth Egyetemi Kiadó, Debrecen.
Béla Bódi, Introduction to the theory of group rings (in Hungarian),
Kossuth Egyetemi Kiadó, Debrecen.
Publications
[1] S. D. Berman and A. Bovdi,
P-blocks for a class of finite groups, Dopovidi Akad. Nauk Ukrain,
(1958), 606-608.
[2] A. Bovdi, Group rings of torsion-free groups, Sibirsk. Mat. Zh., 1
(1960), 555-558.
[3] A. Bovdi, Number of blocks of characters of a finite group with
given defect, Ukrain Mat. Zh., 13 (1961), 136-141.
[4] A. Bovdi, On the radical of a group ring, Doklady Uzhgorod University,
(1961), 84-85.
[5] A. Bovdi, Crossed products of a semigroup and a ring, Doklady Akad.
Nauk SSSR, 137 (1961), 1267-1269.
[6] A. Bovdi, Crossed products of a semigroup and a ring, Sibirsk. Mat. Zh.,
3 (1963), 481-499.
[7] A. Bovdi, On the embedding of crossed products into fields, Doklady
Akad. Nauk SSSR, 151 (1963), 6, 1253-1255.
[8] A. Bovdi, Crossed products of a semigroup and a prime ring, Sibirsk.
Mat. Zh., 5 (1964), 465-467.
[9] A. Bovdi, On the structure of algebras which are algebraic over a
maximal subfield, Sibirsk. Mat. Zh., 5 (1964), 1418-1421.
[10] A. Bovdi, The intersection of the powers of the fundamental ideal of
an integral group ring, Mat. Zametki, 2 (1967), 129-132.
[11] A. Bovdi, Periodic normal subgroups of the multiplicative group of
a group ring, I., Sibirsk. Mat. Zh., 9 (1968), 495-498.
[12] A. Bovdi, Dimension subgroups, Proc. of the Riga Seminar of Algebra,
pp. 5-7, Riga, 1969.
[13] A. Bovdi, Periodic normal subgroups of the multiplicative group of
a group ring, II., Sibirsk. Mat. Zh., 11 (1970), 492-511.
[14] A. Bovdi and S. V. Michovski, Idempotents in crossed products,
Doklady Akad. Nauk SSSR, 195 (1970), 263-265.
[15] A. Bovdi and S. V. Michovski, Algebraic elements of crossed products,
Colloquia Math. Soc. János Bolyai, 6. Rings, modules and radical
(Hungary), 1971, 103-116.
[16] A. Bovdi and S. V. Michovski, Idempotents in crossed products, Bull.
de L'Institut de Math. Acad. Bulgare, 13 (1972), 247-263.
[17] A. Bovdi and I. I. Khripta, Normal subgroups of the multiplicative
group of a ring, Math. Sb., 87 (1972), 338-350.
[18] A. Bovdi, On the automorphisms of modular group algebras, Trans.
Science Conference Uzhgorod University, (1974), 220-226.
[19] A. Bovdi and I. I. Khripta, Finite dimensional group algebras having
solvable unit groups, Trans. Science Conference Uzhgorod University,
(1974), 227-233.
[20] A. Bovdi, Remarks on the automorphisms of a group ring, Latviisk.
Math. Ezhehodnik, 18 (1976), 19-26.
[21] A. Bovdi, On the isomorphism of integral group rings, Trans. Science
Conference Uzhgorod University, (1976), 104-109.
[22] A. Bovdi and Z. Patay, On the structure of the multiplicative group
of a group ring, Vestnik Moscow University,
(1976), 119-120.
[23] A. Bovdi and I. I. Khripta, Group algebras of periodic groups with
solvable multiplicative group, Mat. Zametki, 22 (1977), 421-432.
[24] A. Bovdi and Z. Patay, Structure of the centre of the
multiplicative group of a group ring of p-group over a ring of
characteristic p, Vesti Akad. Nauk BSSR Ser. Fiz. Math. Nauk, (1978),
5-11.
[25] N. N. Aizenberg, A. Bovdi, E. J. Gergo and F. E. Gecse, Algebraic
aspects of threshold logic, Kibernetika, 16 (1980), 188-193.
[26] A. Bovdi, On the construction of integral group rings with trivial
elements of finite order, Sibirsk. Mat. Zh., 21 (1980), 28-37.
[27] A. Bovdi, Construction a multiplicative group of a group algebra with
finiteness conditions, Math. Isledovanija, Kisineu, 56 (1980), 14-27.
[28] A. Bovdi, On the structure of group bases of a group ring, Mat.
Zametki, 32 (1982), 459-468.
[29] A. Bovdi, Unitarity of the multiplicative group of an integral group
ring, Mat. Sb., 119 (1982), 387-400.
[30] A. Bovdi, The periodic normal subgroups of the multiplicative group
of a group algebra, Ukrain. Mat. Zh., 36 (1984), 282-286.
[31] A. Bovdi and A. Kolikov, Lie nilpotency and ideals of crossed
products, Comptes redus de l'Academie Bulgare des Sciences, 37 (1984),
1447-1449.
[32] A. Bovdi, P. M. Gudivok and M. S. Semirot, Normal group rings, Ukrain.
Mat. Zh., 37 (1985), 3-8.
[33] A. Bovdi and Z. Patay, Ulm-Kaplansky invariants of the centre of the
multiplicative group of modular group ring, Dep. UkrNIITI, 1985, N360 Uk.-85,
1-35.
[34] A. Bovdi, A unitary subgroup and congruence subgroup of the
multiplicative group of an integral group ring, Doklady Akad. Nauk SSSR,
289 (1985), 1041-1044.
[35] A. Bovdi, Unitarity of the multiplicative group of a group algebra
over a finite prime field, Abelian Groups and Modules, Tomsk, (1985),
11-19.
[36] A. Bovdi, Unitary subgroup of the multiplicative group of group
algebras, Visnik Kiew University, 27 (1985), 17-18.
[37] A. Bovdi and M. Dokuchaev, On conjugacy of group bases of integral
group rings, Mat. Isledovanija, Kisineu, 85 (1985), 32-42.
[38] A. Bovdi and I. I. Khripta, Group algebras with polycyclic
multiplicative group, Ukrain. Mat. Zh., 38 (1986), 373-375.
[39] A. Bovdi and I. I. Khripta, Solvable normal subgroups of the
multiplicative group of a group ring of a periodic group, Acta Comment.
Univ. Tartuensis, 700 (1985), 3-10.
[40] A. Bovdi and I. I. Khripta, Generalized Lie nilpotent group
rings, Mat. Sb., 129 (1986), 154-158.
[41] A. Bovdi and E. Vármonostory, Free subgroups in multiplicative group
of group algebras, Dep. UkrNIITI, 1986, N1727 Uk.-86, 1-14.
[42] A. Bovdi, Unitary subgroup of the multiplicative group of integral
group ring of a cyclic group, Mat. Zametki, 41 (1987), 469-474.
[43] A. Bovdi, Unitariness of the multiplicative group of a group algebra,
Acta Comment. Univ. Tartuensis, 764 (1988), 3-11.
[44] A. Bovdi, On the structure of the multiplicative group of an integral
group ring, Doklady Akad. Nauk SSSR, 301 (1988), 1295-1298.
[45] A. Bovdi and I. I. Khripta, Generalized nilpotence of the
multiplicative group of a group ring, Ukrain. Mat. Zh., 41 (1989),
1179-1183.
[46] A. Bovdi and A. Szakács, Unitary subgroup of the multiplicative group
of a modular group algebra of a finite abelian p-group, Mat. Zametki, 45
(1989), 23-29.
[47] V. Artamonov and A. Bovdi, Integral group rings: group of the
invertible elements and classical K-theory, Algebra, Topology, Geometry,
Vol. 27, 3-43. Itogy Nauky i Tekhniki Akad. Nauk SSSR, 1989.
[48] A. Bovdi and A. Kolikov, Lie nilpotency and ideals of crossed
products, Serdika, 15 (1989), 275-286.
[49] A. Bovdi and A. Strojnovski, On the multiplicative subgroup of a
group ring, Topics in algebra, Banach Center Publ. Warsaw, 26 (1990),
13-16.
[50] A. Bovdi and I. I. Khripta, The Engel property of the multiplicative
group of a group algebra, Doklady Akad. Nauk SSSR, 314 (1990), 18-20.
[51] A. Bovdi, Existence of the normal supplement of the group in
multiplicative group of its group ring, Ukrain. Mat. Zh., 43 (1991),
884-889.
[52] A. Bovdi and I. I. Khripta, Engel properties of the multiplicative
group of a group algebra, Mat. Sb., 182 (1991), 130-144.
[53] A. Bovdi and S. K. Sehgal, Unitary subgroup of integral group rings,
Publicacions Matem., 36 (1992), 197-204.
[54] A. Bovdi, On group algebras with solvable unit groups, Contemporary
Math. 131 (1992), 81-90.
[55] A. Bovdi and S. K. Sehgal, Unitary subgroup of integral group ring,
Manuscripta Math., 76 (1992), 213-222.
[56] A. Bovdi and P. Lakatos, On exponent of normalized group of units of
modular group algebras, Publ. Math. Debrecen, 42 (1993), 409-415.
[57] A. Bovdi, Z. Marciniak and S. K. Sehgal, Torsion units in infinite
group ring, J. Number Theory, 47 (1994), 284-299.
[58] A. Bovdi and A. Szakács, A basis for the unitary subgroup of the
group of units in a finite commutative group algebra, Publ. Math.
Debrecen, 46 (1995), 97-120.
[59] A. Bovdi and P. M. Gudivok, On isomorphisms of complex group algebras
of finite groups, Debrecen Universitas, Dept. Mathematics, Technical Report,
No 95/138.
[60] A. Bovdi, Some problems of group rings of infinite groups, Zeszyty
Naukowe Polytechniki Slaskiej, Ser. mat-fiz., 74 (1995), 145-151.
[61] A. Bovdi, T. Lángi, On the regularity of group algebras, Arch. Math.,
32 (1996), 117-121.
[62] A. Bovdi, On the group of units in modular group algebras, An. St.
Univ. Ovidius Constanta, 4 (1996), 22-30.
[63] A. Bovdi, Free subgroup of the group of units in group algebras, Publ.
Math. Debrecen, 49 (1996), 157-166.
[64] A. Bovdi, On circle groups of nilpotent rings of characteristic 2,
Periodica Math. Hungarica, 32 (1996), 31-34.
[65] A. Bovdi and L. Erdei, Unitary units in modular group algebras of
group of order 16, Debrecen Universitas, Dept. Mathematics, Technical
Report, No 96/4.
[66] A. Bovdi and Z. Patay, On the central units of a modular group algebra,
Acta Sci. Math. Szeged, 63 (1997), 21-32.
[67] A. Bovdi, The group of units of a group algebras of characteristic
p, Publ. Math. Debrecen, 52 (1998), 193-244.
[68] A. Bovdi, Generators the group of units of the modular group algebras,
In: Methods in ring theory, Marcel Dekker, New York, 1998, pp. 49-62.
[69] A. Bovdi and L. Erdei, Unitary units in modular group algebras of
2-group, Commun. in Algebra, 28 (1999), 625-630.
[70] A. Bovdi and J. Kurdics, Lie properties of the group algebra and the
nilpotency class of the group of units, J. of Algebra, 212 (1999), 28-64.
[71] A. Bovdi and Z. Patay, Units in group algebras of finite p-groups
modular group algebra, Zapiski nauchnykh seminarov POMI, 272 (2000),
14-25.
[72] A. Bovdi and C. Polcino Milies, Conjugacy classes of the group of
units in group algebras of finite p-groups, An. St. Univ. Ovidius
Constanta, 8 (2000), 1-12.
[73] A. Bovdi and C. Polcino Milies, Normal subgroups of the group of
units in group rings of torsion groups, Publ. Math. Debrecen, 59 (2001),
235-242.
[74] A. Bovdi and S. V. Michovski, Conjugacy classes in group algebras of
p-groups, Comptes rendus Acad. Bulgare des Sciences, 56 (2003), 5-8.
[75]
A. Bovdi, L. G. Kovács and S. Michovski, On the orders of conjugacy
classes in group algebras of finite p-groups, J. Aust. Math. Soc., 77
(2004), 185-189.
[76] Zs. Balogh and A. Bovdi, On units in group algebras of 2-groups of
maximal class, Commun. in Algebra, 32 (2004), 3227-3245.
[77] Zs. Balogh and A. Bovdi, Group algebras with unit group of class p,
Publ. Math. Debrecen, 65 (2004), 261-268.
[78] A. Bovdi, Group algebras with a solvable group of units, Commun. in
Algebra, 33 (2005), 3725-3738.
[79] A. Bovdi, Group algebras with an Engel group of units, J. Aust. Math.
Soc., 80 (2006), 173-178.
[80] A. Bovdi and A. Szakács, Unit of commutative group algebra with
involution, Publ. Math. Debrecen, 69 (2006), 291-296.
[81] A. Bovdi and A. Grishkov, Lie properties of crossed products, J.
Algebra, submitted.
Talks
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