Bódi Béla
nyugalmazott egyetemi tanár

szoba: M404
telefon: 06-52-512900/23404
e-mail cím: bodibela@science.unideb.hu
honlap: -

 

Életrajz Publikációk Előadások English

Életrajz

  • születési hely, idő: Palló (Kárpátalja), 1935. augusztus 2.

  • középiskola: Ungvár, 1950-1954

  • egyetemi végzettség: okleveles matematikus, Ungvári Egyetem, majd moszkvai Lomonoszov Egyetem, 1954-1960

  • aspiráns: Lomonoszov Egyetem, Moszkva, 1960-1963

  • kandidátusi fokozat: 1964
    disszertáció címe: Félcsoportok és gyűrűk keresztszorzatai (oroszul)

  • matematikai tudományok doktora: 1988 (Szentpétervári Egyetem)
    disszertáció címe: A csoportgyűrűk egységcsoportjának struktúrája (oroszul)
    (az MTA Tudományos Minősítő Bizottsága 1993. június 30-án honosította)

  • egyetemi docens: Ungvári Egyetem, 1963-1987

  • egyetemi tanár: Ungvári Egyetem, 1987-1991

  • vendégprofesszor: Kossuth Lajos Tudományegyetem, Debrecen, 1991-1994

  • egyetemi tanár: Debreceni Egyetem, 1994-2005

  • professor emeritus: 2005-2010

  • tanulmányút:
    1966: Stuttgarti Egyetem, Aacheni Egyetem

  • vendégprofesszor:
    1991. március-április: Ottawai Egyetem, Alberta Egyetem (Kanada)
    1998. március-december: Sao Paulo-i Egyetem (Brazília)

  • Professor Honoris Causa: Ungvári Egyetem, 2006

  • díjak:
    1989: Kiváló Dolgozó
    2001: Szele Tibor-emlékérem
    2004: Szent-Györgyi Albert-díj

  • nyelvtudás:
    orosz (felsőfok)
    ukrán (felsőfok)

  • szerkesztője a Publicationes Mathematicae Debrecen folyóiratnak

  • referálója a Zentralblatt für Mathematik és a Mathematical Reviews referáló folyóiratoknak

  • 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.

  • 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