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Életrajz
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születési hely, idő: Palló
(Kárpátalja), 1935. augusztus 2.
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középiskola: Ungvár, 1950-1954
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egyetemi végzettség: okleveles
matematikus, Ungvári Egyetem, majd moszkvai Lomonoszov Egyetem,
1954-1960
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aspiráns: Lomonoszov Egyetem,
Moszkva, 1960-1963
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kandidátusi fokozat: 1964
disszertáció címe: Félcsoportok és gyűrűk keresztszorzatai (oroszul)
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matematikai tudományok
doktora: 1988 (Szentpétervári Egyetem)
disszertáció címe: A csoportgyűrűk egységcsoportjának struktúrája
(oroszul)
(az MTA Tudományos Minősítő Bizottsága 1993. június 30-án honosította)
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egyetemi docens: Ungvári
Egyetem, 1963-1987
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egyetemi tanár: Ungvári
Egyetem, 1987-1991
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vendégprofesszor: Kossuth
Lajos Tudományegyetem, Debrecen, 1991-1994
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egyetemi tanár: Debreceni
Egyetem, 1994-2005
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professor emeritus: 2005 óta
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tanulmányút:
1966: Stuttgarti Egyetem, Aacheni Egyetem
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vendégprofesszor:
1991. március-április: Ottawai Egyetem, Alberta Egyetem (Kanada)
1998. március-december: Sao Paulo-i Egyetem (Brazília)
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Professor Honoris Causa:
Ungvári Egyetem, 2006
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díjak:
1989: Kiváló Dolgozó
2001: Szele Tibor-emlékérem
2004: Szent-Györgyi Albert-díj
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nyelvtudás:
orosz (felsőfok)
ukrán (felsőfok)
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szerkesztője a Publicationes Mathematicae Debrecen folyóiratnak
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referálója a Zentralblatt für
Mathematik és a Mathematical Reviews referáló folyóiratoknak
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könyvek:
Béla Bódi, Csoportgyűrűk (oroszul), Ungvári Állami Egyetem, Ungvár,
1974.
Béla Bódi, Csoportgyűrűk (oroszul), Ukrán Felsőoktatási Minisztérium
Módszertani Osztálya, Kijev, 1988.
Béla Bódi, Az egész számok feletti csoportgyűrűk egységcsoportja
(oroszul), Ungvári Állami Egyetem, Ungvár, 1987.
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jegyzetek:
Bódi Béla, Algebra I., A csoportelmélet alapjai, Kossuth Egyetemi Kiadó,
Debrecen.
Bódi Béla, Algebra II., A gyűrűelmélet alapjai, Kossuth Egyetemi Kiadó,
Debrecen.
Bódi Béla, Bevezetés a csoportgyűrűk elméletébe, Kossuth Egyetemi Kiadó,
Debrecen.
Publikációk
[1] S. D. Berman and B. Bódi,
P-blocks for a class of finite groups, Dopovidi Akad. Nauk Ukrain,
(1958), 606-608.
[2] B. Bódi, Group rings of torsion-free groups, Sibirsk. Mat. Zh., 1
(1960), 555-558.
[3] B. Bódi, Number of blocks of characters of a finite group with
given defect, Ukrain Mat. Zh., 13 (1961), 136-141.
[4] B. Bódi, On the radical of a group ring, Doklady Uzhgorod University,
(1961), 84-85.
[5] B. Bódi, Crossed products of a semigroup and a ring, Doklady Akad.
Nauk SSSR, 137 (1961), 1267-1269.
[6] B. Bódi, Crossed products of a semigroup and a ring, Sibirsk. Mat. Zh.,
3 (1963), 481-499.
[7] B. Bódi, On the embedding of crossed products into fields, Doklady
Akad. Nauk SSSR, 151 (1963), 1253-1255.
[8] B. Bódi, Crossed products of a semigroup and a prime ring, Sibirsk.
Mat. Zh., 5 (1964), 465-467.
[9] B. Bódi, On the structure of algebras which are algebraic over a
maximal subfield, Sibirsk. Mat. Zh., 5 (1964), 1418-1421.
[10] B. Bódi, The intersection of the powers of the fundamental ideal of
an integral group ring, Mat. Zametki, 2 (1967), 129-132.
[11] B. Bódi, Periodic normal subgroups of the multiplicative group of
a group ring, I., Sibirsk. Math. Zh., 9 (1968), 495-498.
[12] B. Bódi, Dimension subgroups, Proc. of the Riga Seminar of Algebra,
pp. 5-7, Riga, 1969.
[13] B. Bódi, Periodic normal subgroups of the multiplicative group of
a group ring, II., Sibirsk. Mat. Zh., 11 (1970), 492-511.
[14] B. Bódi and S. V. Michovski, Idempotents in crossed products, Doklady
Akad. Nauk SSSR, 195 (1970), 263-265.
[15] B. Bódi and S. V. Michovski, Algebraic elements of crossed products,
Colloquia Math. Soc. János Bolyai, 6. Rings, modules and radical
(Hungary), 1971, 103-116.
[16] B. Bódi and S. V. Michovski, Idempotents in crossed products, Bull.
de L'Institut de Math. Acad. Bulgare, 13 (1972), 247-263.
[17] B. Bódi and I. I. Khripta, Normal subgroups of the multiplicative
group of a ring, Math. Sb., 87 (1972), 338-350.
[18] B. Bódi, On the automorphisms of modular group algebras, Trans.
Science Conference Uzhgorod University, (1974), 220-226.
[19] B. Bódi and I. I. Khripta, Finite dimensional group algebras having
solvable unit groups, Trans. Science Conference Uzhgorod University,
(1974), 227-233.
[20] B. Bódi, Remarks on the automorphisms of a group ring, Latviisk. Math.
Ezhehodnik, 18 (1976), 19-26.
[21] B. Bódi, On the isomorphism of integral group rings, Trans. Science
Conference Uzhgorod University, (1976), 104-109.
[22] B. Bódi and Z. Patay, On the structure of the multiplicative group of
a group ring, Vestnik Moscow University,
(1976), 119-120.
[23] B. Bódi and I. I. Khripta, Group algebras of periodic groups with
solvable multiplicative group, Mat. Zametki, 22 (1977), 421-432.
[24] B. Bódi 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, B. Bódi, E. J. Gergo and F. E. Gecse, Algebraic
aspects of threshold logic, Kibernetika, 16 (1980), 188-193.
[26] B. Bódi, On the construction of integral group rings with trivial
elements of finite order, Sibirsk. Mat. Zh., 21 (1980), 28-37.
[27] B. Bódi, Construction a multiplicative group of a group algebra with
finiteness conditions, Math. Isledovanija, Kisineu, 56 (1980), 14-27.
[28] B. Bódi, On the structure of group bases of a group ring, Mat.
Zametki, 32 (1982), 459-468.
[29] B. Bódi, Unitarity of the multiplicative group of an integral group
ring, Mat. Sb., 119 (1982), 387-400.
[30] B. Bódi, Periodic normal subgroups of the multiplicative group of
a group algebra, Ukrain. Mat. Zh., 36 (1984), 282-286.
[31] B. Bódi and A. Kolikov, Lie nilpotency and ideals of crossed products,
Comptes redus de l'Academie Bulgare des Sciences, 37 (1984),
1447-1449.
[32] B. Bódi, P. M. Gudivok and M. S. Semirot, Normal group rings, Ukrain.
Mat. Zh., 37 (1985), 3-8.
[33] B. Bódi 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] B. Bódi, A unitary subgroup and congruence subgroup of the
multiplicative group of an integral group ring, Doklady Akad. Nauk SSSR,
289 (1985), 1041-1044.
[35] B. Bódi, Unitarity of the multiplicative group of a group algebra over
a finite prime field, Abelian Groups and Modules, Tomsk, (1985), 11-19.
[36] B. Bódi, Unitary subgroup of the multiplicative group of group
algebras, Visnik Kiew University, 27 (1985), 17-18.
[37] B. Bódi and M. Dokuchaev, On conjugacy of group bases of integral
group rings, Mat. Isledovanija, Kisineu, 85 (1985), 32-42.
[38] B. Bódi and I. I. Khripta, Group algebras with polycyclic
multiplicative group, Ukrain. Mat. Zh., 38 (1986), 373-375.
[39] B. Bódi 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] B. Bódi and I. I. Khripta, Generalized Lie nilpotent group rings,
Mat. Sb., 129 (1986), 154-158.
[41] B. Bódi and E. Vármonostory, Free subgroups in multiplicative group
of group algebras, Dep. UkrNIITI, 1986, N1727 Uk.-86, 1-14.
[42] B. Bódi, Unitary subgroup of the multiplicative group of integral
group ring of a cyclic group, Mat. Zametki, 41 (1987), 469-474.
[43] B. Bódi, Unitariness of the multiplicative group of a group algebra,
Acta Comment. Univ. Tartuensis, 764 (1988), 3-11.
[44] B. Bódi, On the structure of the multiplicative group of an integral
group ring, Doklady Akad. Nauk SSSR, 301 (1988), 1295-1298.
[45] B. Bódi and I. I. Khripta, Generalized nilpotence of the
multiplicative group of a group ring, Ukrain. Mat. Zh., 41 (1989),
1179-1183.
[46] B. Bódi 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 B. Bódi, 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] B. Bódi and A. Kolikov, Lie nilpotency and ideals of crossed products,
Serdika, 15 (1989), 275-286.
[49] B. Bódi and A. Strojnovski, On the multiplicative subgroup of a group
ring, Topics in algebra, Banach Center Publ. Warsaw, 26 (1990), 13-16.
[50] B. Bódi and I. I. Khripta, The Engel property of the multiplicative
group of a group algebra, Doklady Akad. Nauk SSSR, 314 (1990), 18-20.
[51] B. Bódi, Existence of the normal supplement of the group in
multiplicative group of its group ring, Ukrain. Mat. Zh., 43 (1991),
884-889.
[52] B. Bódi and I. I. Khripta, Engel properties of the multiplicative
group of a group algebra, Mat. Sb., 182 (1991), 130-144.
[53] B. Bódi and S. K. Sehgal, Unitary subgroup of integral group rings,
Publicacions Matem., 36 (1992), 197-204.
[54] B. Bódi, On group algebras with solvable unit groups, Contemporary
Math. 131 (1992), 81-90.
[55] B. Bódi and S. K. Sehgal, Unitary subgroup of integral group ring,
Manuscripta Math., 76 (1992), 213-222.
[56] B. Bódi and P. Lakatos, On exponent of normalized group of units of
modular group algebras, Publ. Math. Debrecen, 42 (1993), 409-415.
[57] B. Bódi, Z. Marciniak and S. K. Sehgal, Torsion units in infinite
group ring, J. Number Theory, 47 (1994), 284-299.
[58] B. Bódi 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] B. Bódi and P. M. Gudivok, On isomorphisms of complex group algebras
of finite groups, Debrecen Universitas, Dept. Mathematics, Technical Report,
No 95/138.
[60] B. Bódi, Some problems of group rings of infinite groups, Zeszyty
Naukowe Polytechniki Slaskiej, Ser. mat-fiz., 74 (1995), 145-151.
[61] B. Bódi, T. Lángi, On the regularity of group algebras, Arch. Math.,
32 (1996), 117-121.
[62] B. Bódi, On the group of units in modular group algebras, An. St.
Univ. Ovidius Constanta, 4 (1996), 22-30.
[63] B. Bódi, Free subgroup of the group of units in group algebras, Publ.
Math. Debrecen, 49 (1996), 157-166.
[64] B. Bódi, On circle groups of nilpotent rings of characteristic 2,
Periodica Math. Hungarica, 32 (1996), 31-34.
[65] B. Bódi and L. Erdei, Unitary units in modular group algebras of
group of order 16, Debrecen Universitas, Dept. Mathematics, Technical
Report, No 96/4.
[66] B. Bódi and Z. Patay, On the central units of a modular group algebra,
Acta Sci. Math. Szeged, 63 (1997), 21-32.
[67] B. Bódi, The group of units of a group algebra of characteristic
p, Publ. Math. Debrecen, 52 (1998), 193-244.
[68] B. Bódi, Generators the group of units of the modular group algebras,
In: Methods in ring theory, Marcel Dekker, New York, 1998, pp. 49-62.
[69] B. Bódi and L. Erdei, Unitary units in modular group algebras of
2-group, Commun. in Algebra, 28 (1999), 625-630.
[70] B. Bódi 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] B. Bódi and Z. Patay, Units in group algebras of finite p-groups
modular group algebra, Zapiski nauchnykh seminarov POMI, 272 (2000),
14-25.
[72] B. Bódi 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] B. Bódi 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] B. Bódi and S. V. Michovski, Conjugacy classes in group algebras of
p-groups, Comptes rendus Acad. Bulgare des Sciences, 56 (2003), 5-8.
[75]
B. Bódi, 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 B. Bódi, On units in group algebras of 2-groups of
maximal class, Commun. in Algebra, 32 (2004), 3227-3245.
[77] Zs. Balogh and B. Bódi, Group algebras with unit group of class p,
Publ. Math. Debrecen, 65 (2004), 261-268.
[78] B. Bódi, Group algebras with a solvable group of units, Commun. in
Algebra, 33 (2005), 3725-3738.
[79] B. Bódi, Group algebras with an Engel group of units, J. Aust. Math.
Soc., 80 (2006), 173-178.
[80] B. Bódi and A. Szakács, Unit of commutative group algebra with
involution, Publ. Math. Debrecen, 69 (2006), 291-296.
[81] B. Bódi and A. Grishkov, Lie properties of crossed products, J.
Algebra, közlésre benyújtva.
Előadások
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