The p. p. ring and the Pierce sheaf representation of non-commutative rings

George Szeto; T. O. To

Mathematica Slovaca (1980)

  • Volume: 30, Issue: 4, page 337-343
  • ISSN: 0139-9918

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Szeto, George, and To, T. O.. "The p. p. ring and the Pierce sheaf representation of non-commutative rings." Mathematica Slovaca 30.4 (1980): 337-343. <http://eudml.org/doc/31995>.

@article{Szeto1980,
author = {Szeto, George, To, T. O.},
journal = {Mathematica Slovaca},
keywords = {Pierce sheaf representation; stalks of the Pierce sheaf; Boolean spectrum; strong left p.p. ring},
language = {eng},
number = {4},
pages = {337-343},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The p. p. ring and the Pierce sheaf representation of non-commutative rings},
url = {http://eudml.org/doc/31995},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Szeto, George
AU - To, T. O.
TI - The p. p. ring and the Pierce sheaf representation of non-commutative rings
JO - Mathematica Slovaca
PY - 1980
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 30
IS - 4
SP - 337
EP - 343
LA - eng
KW - Pierce sheaf representation; stalks of the Pierce sheaf; Boolean spectrum; strong left p.p. ring
UR - http://eudml.org/doc/31995
ER -

References

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  2. BERGMAN G., Hereditary commutative rings and centres of hereditary rings, Pгoc. Londoh Math. Soc., 23, 1971, 214-236. (1971) Zbl0219.13018MR0309918
  3. BURGESS W., STEPHENSON W., Pierce sheaves of non-commutative rings, Communications in Algebra, 4, 1976, 51-75. (1976) Zbl0318.16005MR0404320
  4. DAUNS J., HOFMANN K., The repгesentation of biregular rings by sheaves, Math. Z., 91. 1966, 103-123. (1966) MR0186693
  5. DeMEYER F., Separable polynomials over a commutative ring, Roc. Mtn. J. Math. 2, 1972, 299-310. (1972) Zbl0235.13004MR0294321
  6. GROTHENDIECK A., DIEUDONNE J., Elements de Geometrie Algebriquue, I.H.E.S. Publications Math. Paris 1960. (1960) 
  7. HERSTEIN L., Topics in ring theory, The University of Chicago Pгess, 1969. (1969) Zbl0232.16001MR0271135
  8. KOH K., On functional representations of a ring without nilpotent elements, Canadian Math. Bull., 14, 1971, 349-352. (1971) Zbl0217.34004MR0369440
  9. LAMBEK J., On the representation of modules by sheaves of factor modules, Canad. Math. Bull., 14, 1971, 359-368. (1971) Zbl0217.34005MR0313324
  10. MAGID A., Pierce's representation and separable algebras, Illinois J. Math. 15, 1971, 114-121. (1971) Zbl0204.05904MR0272832
  11. PIERCE R., Modules over commutative regular rings, Mem. Amer. Math. Soc., 70, 1967. (1967) Zbl0152.02601MR0217056
  12. SZETO G., On almost hereditaгy rings, J. Algebгa, 34, 1975, 97-104. (1975) MR0422352
  13. VASCONCELOS W., Finiteness of projective ideals, J. Algebra, 25, 1973, 269-278. (1973) MR0314828
  14. VILLAMAYOR O., ZELINSKY D., Galois theory for rings with infinitely many idempotents, Nagoya J. Math., 55, 1969, 83-98. (1969) MR0244238

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