The rings of endomorphisms of Abelian groups and the representation of rings by rings of matrices

Vlastimil Dlab

Czechoslovak Mathematical Journal (1957)

  • Volume: 07, Issue: 4, page 485-523
  • ISSN: 0011-4642

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Dlab, Vlastimil. "Die Endomorphismenringe abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe." Czechoslovak Mathematical Journal 07.4 (1957): 485-523. <http://eudml.org/doc/11898>.

@article{Dlab1957,
author = {Dlab, Vlastimil},
journal = {Czechoslovak Mathematical Journal},
keywords = {group theory},
language = {ger},
number = {4},
pages = {485-523},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Die Endomorphismenringe abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe},
url = {http://eudml.org/doc/11898},
volume = {07},
year = {1957},
}

TY - JOUR
AU - Dlab, Vlastimil
TI - Die Endomorphismenringe abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe
JO - Czechoslovak Mathematical Journal
PY - 1957
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 07
IS - 4
SP - 485
EP - 523
LA - ger
KW - group theory
UR - http://eudml.org/doc/11898
ER -

References

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  3. F. Dlab, D-hodnost Abelovy grupy, Čas. pro pěst, mat., 82 (1957), 314-334. (1957) MR0092785
  4. J. L. Dorroh, 10.1090/S0002-9904-1932-05333-2, Bull. Amer. Math. Soc, 38 (1932) 85-88. (1932) Zbl0003.38701MR1562332DOI10.1090/S0002-9904-1932-05333-2
  5. N. Jacobson, The Theorie of Rings, New York 1943. (1943) 
  6. 3. M. Кишкина, Эндоморфизмы р-примитивных абелевых групп без кручения, Изв. Акад. наук СССР, сер. мат., 9 (1945), 201-232. (1945) Zbl0119.10101MR0018181
  7. Л. Я. Куликов, К теории абелевых групп произвольной мощности, Мат. сб. (нов. с), 16 (1945), 129-162. (1945) Zbl0119.10101MR0018180
  8. А. О. Kurosch, Gruppentheorie, Berlin 1953. (1953) Zbl0053.01001
  9. А. Г. Курош, Теория групп, 2-е изд., Москва 1953. (1953) Zbl1151.94459
  10. N. Н. McCoy, Rings and Ideals, Carus Math. Monographs 7, Baltimore 1948. (1948) Zbl0041.36406MR0026038
  11. M. Shiffman, 10.1215/S0012-7094-40-00645-7, Duke math. J., 6 (1940), 579-597. (1940) Zbl0024.01702MR0002136DOI10.1215/S0012-7094-40-00645-7
  12. K. Shoda, 10.1007/BF01448871, Ann., 100 (1928), 674-686. (1928) MR1512510DOI10.1007/BF01448871
  13. K. Shoda, 10.3792/pia/1195581445, Proc. Acad. Tokyo, 6 (1930), 9-11. (1930) MR1568283DOI10.3792/pia/1195581445
  14. B. L. van der Waerden, Moderne Algebra I., Berlin 1937. (1937) 

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