On V -rings and unit-regular rings

Roger Yue Chi Ming

Rendiconti del Seminario Matematico della Università di Padova (1981)

  • Volume: 64, page 127-140
  • ISSN: 0041-8994

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Yue Chi Ming, Roger. "On $V$-rings and unit-regular rings." Rendiconti del Seminario Matematico della Università di Padova 64 (1981): 127-140. <http://eudml.org/doc/107786>.

@article{YueChiMing1981,
author = {Yue Chi Ming, Roger},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {V-rings; unit-regular rings; ECTE rings; essential left ideal; MELT rings; right self-injective regular ring},
language = {eng},
pages = {127-140},
publisher = {Seminario Matematico of the University of Padua},
title = {On $V$-rings and unit-regular rings},
url = {http://eudml.org/doc/107786},
volume = {64},
year = {1981},
}

TY - JOUR
AU - Yue Chi Ming, Roger
TI - On $V$-rings and unit-regular rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1981
PB - Seminario Matematico of the University of Padua
VL - 64
SP - 127
EP - 140
LA - eng
KW - V-rings; unit-regular rings; ECTE rings; essential left ideal; MELT rings; right self-injective regular ring
UR - http://eudml.org/doc/107786
ER -

References

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  1. [1] S.U. Chase, Direct products of modules, Trans. Amer. Math. Soc., 97 (1960), pp. 457-473. Zbl0100.26602MR120260
  2. [2] K. Chiba - H. TOMINAGA, On strongly regular rings, Proc. Japan Acad., 49 (1973), pp. 435-437. Zbl0298.16013MR327819
  3. [3] K. Chiba - H. TOMINAGA, On strongly regular rings, II, Proc. Japan Acad., 50 (1974), 444-445. Zbl0301.16014MR360678
  4. [4] R.F. Damiano, A right PCI ring is right Noetherian, Proc. Amer. Math. Soc., 77 (1979), pp. 11-14. Zbl0425.16022MR539620
  5. [5] C. Faith, Algebra Ii: Ring Theory, vol. 191, Springer-Verlag (1976). Zbl0335.16002MR427349
  6. [6] J.W. Fisher, Von Neumann regular rings versus V-rings, Ring Theory: Proc. Oklahoma Conference, Lecture notes no. 7, Dekker, New York, (1974), pp. 101-119. MR332866
  7. [7] K.R. Goodfarl, Von Neuman regular rings, Monographs and Studies in Maths, 4, Pitman, London (1979). Zbl0411.16007
  8. [8] M. Ikeda - T. NAKAYAMA, On some characteristic properties of quasi-Frobenius and regular rings, Proc. Amer. Math. Soc., 5 (1954), pp. 15-19. Zbl0055.02602MR60489
  9. [9] S.K. Jain, S.H. Mohamed - S. SINGH, Rings in which every right ideal is quasi-injective, Pac. J. Math., 31 (1969), 73-79. Zbl0213.04401MR251073
  10. [10] J.K. I - F.R. McMorris - S.K. Sim, Semigroups for which every totally irreducible s-system is injective, Comment, Math. Univ. Carolinae, 19 (1978), pp. 27-35. Zbl0382.20055MR476895
  11. [11] G.O. Michler - O.E. Villamayor, On rings whose simple modules are injective, J. Algebra, 25 (1973), pp. 185-201. Zbl0258.16023MR316505
  12. [12] F.L. Sandomierski, Semi-simple maximal quotient rings, Trans. Amer. Math. Soc., 128 (1967), pp. 112-120. Zbl0159.04303MR214624
  13. [13] H. Tominaga, On s-unital rings, Math. J. Okayama Univ., 18 (1976), pp. 117-134. Zbl0335.16020MR419511
  14. [14] H. Tominaga, On s-unital rings, II, Math. J. Okayama Univ., 19 (1977), pp. 171-182. Zbl0371.16008MR453801
  15. [15] Y. Utumi, On continuous regular rings and semi-simple self-injective rings, Canad. J. Math., 12 (1960), pp. 597-605. Zbl0100.26303MR117250
  16. [16] Y. Utumi, On continuous rings and self-injective rings, Trans. Amer. Math. Soc., 118 (1967), pp. 158-173. Zbl0144.27301MR174592
  17. [17] R. Yue Chi Ming, A note on singular ideals, Tohoku Math. J., 21 (1969), pp. 337-342. Zbl0164.34702MR252444
  18. [18] R. Yue Chi Ming, On von Neumann regular rings, Proc. Edinburgh Math. Soc., 19 (1974), pp. 89-91. Zbl0251.16011MR342553
  19. [19] R. Yue Chi Ming, On simple p-injective modules, Math. Japonica, 19 (1974), pp. 173-176. Zbl0263.16019MR399167
  20. [20] R. Yue Chi Ming, On annilator ideals, Math. J. Okayama Univ., 19 (1976), pp. 51-53. Zbl0348.16008
  21. [21] R. Yue Chi Ming, On von Neuman regular rinvs, III, Monatshefte für Math., 86 (1978), pp. 251-257. Zbl0414.16006MR517029
  22. [22] R. Yue Chi Ming, On generalizations of V-rings and regular rings, Math. J. Okayama Univ., 20 (1978), pp. 123-129. Zbl0402.16014MR519559
  23. [23] R. Yue Chi Ming, On V-rings and prime rings, J. Algebra, 62 (1980), pp. 13-20. Zbl0429.16018MR561114
  24. [24] R. Yue Chi Ming, On regular rings and V-rings, Monatshefte für Math., 88 (1979), pp. 335-344. Zbl0423.16006MR555348
  25. [25] J. Zelmanowitz, Injective hulls of torsionfree modules, Canad. J. Math., 23 (1971), pp. 1094-1101. Zbl0222.16023MR289567

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