Order completions of semiprime rings

Walter D. Burgess; Robert M. Raphael

Czechoslovak Mathematical Journal (1981)

  • Volume: 31, Issue: 1, page 91-97
  • ISSN: 0011-4642

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Burgess, Walter D., and Raphael, Robert M.. "Order completions of semiprime rings." Czechoslovak Mathematical Journal 31.1 (1981): 91-97. <http://eudml.org/doc/13243>.

@article{Burgess1981,
author = {Burgess, Walter D., Raphael, Robert M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {partially ordered semiprime ring; orthogonally complete ring; rational extension; Boolean algebra of annihilators; complete ring of quotients; semisimple weakly reduced ring},
language = {eng},
number = {1},
pages = {91-97},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Order completions of semiprime rings},
url = {http://eudml.org/doc/13243},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Burgess, Walter D.
AU - Raphael, Robert M.
TI - Order completions of semiprime rings
JO - Czechoslovak Mathematical Journal
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 1
SP - 91
EP - 97
LA - eng
KW - partially ordered semiprime ring; orthogonally complete ring; rational extension; Boolean algebra of annihilators; complete ring of quotients; semisimple weakly reduced ring
UR - http://eudml.org/doc/13243
ER -

References

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  2. W. D. Burgess, Abian's order relation on C(X), Kyungpook Math. J., 15 (1975), 99-104. (1975) Zbl0307.54013MR0366775
  3. W. D. Burgess, R. Raphael, 10.2140/pjm.1974.54.55, Pacific J. Math., 54 (1974), 55-64. (1974) MR0360708DOI10.2140/pjm.1974.54.55
  4. W. D. Burgess, R. Raphael, 10.4153/CJM-1975-095-0, Canad. J. Math., 27 (1975), 884-892. (1975) Zbl0316.13004MR0384646DOI10.4153/CJM-1975-095-0
  5. W. D. Burgess, R. Raphael, Sur deux notions de complétude dans les anneaux semipremiers, CR. Acad. Sci. Paris, 283 (1976), 927-929. (1976) Zbl0342.16008MR0422319
  6. W. D. Burgess, R. Raphael, 10.1007/BF02194622, Semigroup Forum, 16 (1978), 133-140. (1978) Zbl0382.06019MR0491395DOI10.1007/BF02194622
  7. P. Conrad, The hulls of semiprime rings, Czech. J. Math. 28 (1978), 59-86. (1978) Zbl0419.16002MR0463223
  8. P. Conrad, Boundable sets in lattice-ordered groups and semiprime rings, typescript, 1978. (1978) 
  9. J. Lambek, Lectures on Rings and Modules. Blaisdell, Waltham, Toronto and London, 1966. (1966) MR0206032
  10. J. Levitzki, 10.1090/S0002-9947-1953-0053089-1, Trans. Amer. Math. Soc., 74 (1953), 384-409. (1953) Zbl0050.26102MR0053089DOI10.1090/S0002-9947-1953-0053089-1
  11. D. S. Passman, The Algebraic Structure of Group Rings, Wiley-Interscience, New York, London, Sydney, Toronto, 1977. (1977) Zbl0368.16003MR0470211
  12. R. Raphael, W. Stephenson, 10.4153/CMB-1977-052-6, Can. Math. Bull. 20 (1977), 347-352. (1977) Zbl0379.16006MR0466205DOI10.4153/CMB-1977-052-6
  13. B. Stenstrom, Rings and modules of quotients, Lecture Notes in Mathematics (Springer-Verlag, Berlin, Heidelberg, New York) 237 (1971). (1971) MR0325663
  14. Y. Utumi, On quotient rings, Osaka Math. J., 8 (1956), 1-18. (1956) Zbl0070.26601MR0078966

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