| Title:
|
Order completions of semiprime rings (English) |
| Author:
|
Burgess, W. D. |
| Author:
|
Raphael, R. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
91-97 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F25 |
| MSC:
|
16A18 |
| idZBL:
|
Zbl 0504.06015 |
| idMR:
|
MR604116 |
| DOI:
|
10.21136/CMJ.1981.101727 |
| . |
| Date available:
|
2008-06-09T14:42:45Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101727 |
| . |
| Reference:
|
[1] B. Brainerd, J. Lambek: On rings of quotients of a Boolean ring.Can. Math. Bull., 2 (1959), 25-29. MR 0101199, 10.4153/CMB-1959-006-x |
| Reference:
|
[2] W. D. Burgess: Abian's order relation on C(X).Kyungpook Math. J., 15 (1975), 99-104. Zbl 0307.54013, MR 0366775 |
| Reference:
|
[3] W. D. Burgess, R. Raphael: Abian's order relation and orthogonal completeness for reduced rings.Pacific J. Math., 54 (1974), 55-64. MR 0360708, 10.2140/pjm.1974.54.55 |
| Reference:
|
[4] W. D. Burgess, R. Raphael: Complete and orthogonally complete rings.Canad. J. Math., 27 (1975), 884-892. Zbl 0316.13004, MR 0384646, 10.4153/CJM-1975-095-0 |
| Reference:
|
[5] W. D. Burgess, R. Raphael: Sur deux notions de complétude dans les anneaux semipremiers.CR. Acad. Sci. Paris, 283 (1976), 927-929. Zbl 0342.16008, MR 0422319 |
| Reference:
|
[6] W. D. Burgess, R. Raphael: On Conrad's partial order relation on semiprime rings and on semigroups.Semigroup Forum, 16 (1978), 133-140. Zbl 0382.06019, MR 0491395, 10.1007/BF02194622 |
| Reference:
|
[7] P. Conrad: The hulls of semiprime rings.Czech. J. Math. 28 (1978), 59-86. Zbl 0419.16002, MR 0463223 |
| Reference:
|
[8] P. Conrad: Boundable sets in lattice-ordered groups and semiprime rings.typescript, 1978. |
| Reference:
|
[9] J. Lambek: Lectures on Rings and Modules. Blaisdell.Waltham, Toronto and London, 1966. MR 0206032 |
| Reference:
|
[10] J. Levitzki: On the structure of algebraic algebras and related rings.Trans. Amer. Math. Soc., 74 (1953), 384-409. Zbl 0050.26102, MR 0053089, 10.1090/S0002-9947-1953-0053089-1 |
| Reference:
|
[11] D. S. Passman: The Algebraic Structure of Group Rings.Wiley-Interscience, New York, London, Sydney, Toronto, 1977. Zbl 0368.16003, MR 0470211 |
| Reference:
|
[12] R. Raphael, W. Stephenson: Orthogonally complete rings.Can. Math. Bull. 20 (1977), 347-352. Zbl 0379.16006, MR 0466205, 10.4153/CMB-1977-052-6 |
| Reference:
|
[13] B. Stenstrom: Rings and modules of quotients.Lecture Notes in Mathematics (Springer-Verlag, Berlin, Heidelberg, New York) 237 (1971). MR 0325663 |
| Reference:
|
[14] Y. Utumi: On quotient rings.Osaka Math. J., 8 (1956), 1-18. Zbl 0070.26601, MR 0078966 |
| . |
