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XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa
May 16, 2019 10:40–11:25, Tula, TSPU of Leo Tolstoy
 


Graded division rings and modules over them

I. N. Balabaa, A V. Mikhalevb

a Tula State Lev Tolstoy Pedagogical University
b Lomonosov Moscow State University
Supplementary materials:
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Supplementary materials: abstract.pdf (596.5 Kb)

References
  1. Dade E. C., “Group-graded rings and modules”, Math. Z, 174:2 (1980), 241–262
  2. Balaba I. N., “Izomorfizmy graduirovannykh kolets lineinykh preobrazovanii graduirovannykh vektornykh prostranstv”, Chebyshevskii sbornik, 6:4(16) (2005), 6–23
  3. Ber R., Lineinaya algebra i proektivnaya geometriya, Izd-vo inostr. lit., M., 1955, 400 pp.
  4. Kaplansky I., “Infinite abelian groups”, The University of Michigan, 1954
  5. Balaba I.N., Mikhalëv A.V., “Izomorfizmy graduirovannykh kolets endomorfizmov graduirovannykh modulei, blizkikh k svobodnym”, Fundament. i prikl. matem, 13:5 (2007), 3–18
  6. Bahturin Y., Zaicev M., “Simple graded division algebras over the field of real numbers”, Linear Algebra and its Applications, 490 (2016), 102–123
  7. Balaba I.N., Mikhalëv A.V., “Antiizomorfizmy graduirovannykh kolets endomorfizmov graduirovannykh modulei, blizkikh k svobodnym”, Fundament. i prikl. matem, 14:7 (2008), 23–36
 
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