Minimal non-totally minimal topological rings
Rendiconti del Seminario Matematico della Università di Padova, Tome 97 (1997), pp. 73-79. 
@article{RSMUP_1997__97__73_0,
     author = {Megrelishvili, Michael},
     title = {Minimal non-totally minimal topological rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {73--79},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {97},
     year = {1997},
     mrnumber = {1476164},
     zbl = {0886.16031},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1997__97__73_0/}
}
TY  - JOUR
AU  - Megrelishvili, Michael
TI  - Minimal non-totally minimal topological rings
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1997
SP  - 73
EP  - 79
VL  - 97
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1997__97__73_0/
LA  - en
ID  - RSMUP_1997__97__73_0
ER  - 
%0 Journal Article
%A Megrelishvili, Michael
%T Minimal non-totally minimal topological rings
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1997
%P 73-79
%V 97
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_1997__97__73_0/
%G en
%F RSMUP_1997__97__73_0
Megrelishvili, Michael. Minimal non-totally minimal topological rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 97 (1997), pp. 73-79. http://www.numdam.org/item/RSMUP_1997__97__73_0/

[1] B. Banaschewski, Minimal topological algebras, Math. Ann., 211 (1974), pp. 107-114. | MR | Zbl

[2] D. Dikranjan, Minimal ring topologies and Krull dimension, Topology vol. 23, Budapest, Hungary (1978), pp. 357-366. | MR | Zbl

[3] D. Dikranjan, Minimal topological rings, Serdica, 8 (1982), pp. 139-165. | MR | Zbl

[4] D.N. Dikranjan - I.R. Prodanov - L.N. Stoyanov, Topological Groups: Characters, Dualities and Minimal Group Topologies, vol. 130, Marcel Dekker (1989). | MR | Zbl

[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. | MR | Zbl

[6] H. Kowalsky, Beitrage zur topologische algebra, Math. Nachr., 11 (1954), pp. 143-185. | MR | Zbl

[7] M. Megrelishvili, Group representations and construction of minimal topological groups, Topology Appl, 62 (1995), pp. 1-19. | MR | Zbl

[8] A.E. Merzon, Uspehi Mat. Nauk, 27, No. 4 (1972), pp. 217 (in Russian). | MR | Zbl

[9] A. Mutylin, Completely simple topological commutative rings, Mat. Zametki, 5 (1969), pp. 161-171 (in Russian). | MR | Zbl

[10] L. Nachbin, On strictly minimal topological division rings, Bull. Amer. Math. Soc., 55 (1949), pp. 1128-1136. | MR | Zbl

[11] N. Shell, Topological Fields and Near Valuations, vol. 135, Dekker, New York and Basel (1990). | MR | Zbl

[12] M.I. Ursul, Boundedness in locally compact rings, Topology Appl., 55 (1994), pp. 17-27. | MR | Zbl

[13] W. Wieslaw, Topological Fields, vol. 119, Dekker, New York and Basel (1988). | MR | Zbl

[14] S. Warner, Topological Fields, North Holland Mathematics Studies, 157, North-Holland, Amsterdam, New York, Oxford, Tokyo (1989). | MR | Zbl