Minimal non-totally minimal topological rings

Michael Megrelishvili

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 97, page 73-79
  • ISSN: 0041-8994

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Megrelishvili, Michael. "Minimal non-totally minimal topological rings." Rendiconti del Seminario Matematico della Università di Padova 97 (1997): 73-79. <http://eudml.org/doc/108431>.

@article{Megrelishvili1997,
author = {Megrelishvili, Michael},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {groups of characters; topological groups; locally compact associative rings; locally compact minimal rings},
language = {eng},
pages = {73-79},
publisher = {Seminario Matematico of the University of Padua},
title = {Minimal non-totally minimal topological rings},
url = {http://eudml.org/doc/108431},
volume = {97},
year = {1997},
}

TY - JOUR
AU - Megrelishvili, Michael
TI - Minimal non-totally minimal topological rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 97
SP - 73
EP - 79
LA - eng
KW - groups of characters; topological groups; locally compact associative rings; locally compact minimal rings
UR - http://eudml.org/doc/108431
ER -

References

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  5. [5] V. Eberhardt - S. Dierolf - U. Schwanengel, On products of two (totally) minimal topological groups and the three-space-problem, Math. Ann., 251 (1980), pp. 123-128. Zbl0424.22001MR585958
  6. [6] H. Kowalsky, Beitrage zur topologische algebra, Math. Nachr., 11 (1954), pp. 143-185. Zbl0058.26702MR61099
  7. [7] M. Megrelishvili, Group representations and construction of minimal topological groups, Topology Appl, 62 (1995), pp. 1-19. Zbl0824.22003MR1318425
  8. [8] A.E. Merzon, Uspehi Mat. Nauk, 27, No. 4 (1972), pp. 217 (in Russian). Zbl0257.22001MR477807
  9. [9] A. Mutylin, Completely simple topological commutative rings, Mat. Zametki, 5 (1969), pp. 161-171 (in Russian). Zbl0316.13013MR242905
  10. [10] L. Nachbin, On strictly minimal topological division rings, Bull. Amer. Math. Soc., 55 (1949), pp. 1128-1136. Zbl0037.20002MR32931
  11. [11] N. Shell, Topological Fields and Near Valuations, vol. 135, Dekker, New York and Basel (1990). Zbl0702.12003MR1075419
  12. [12] M.I. Ursul, Boundedness in locally compact rings, Topology Appl., 55 (1994), pp. 17-27. Zbl0804.16045MR1255294
  13. [13] W. Wieslaw, Topological Fields, vol. 119, Dekker, New York and Basel (1988). Zbl0661.12011MR957508
  14. [14] S. Warner, Topological Fields, North Holland Mathematics Studies, 157, North-Holland, Amsterdam, New York, Oxford, Tokyo (1989). Zbl0683.12014MR1002951

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