| Title:
|
The p. p. ring and the Pierce sheaf representation of non-commutative rings (English) |
| Author:
|
Szeto, George |
| Author:
|
To, T. O. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
337-343 |
| . |
| Category:
|
math |
| . |
| MSC:
|
16Gxx |
| MSC:
|
16S50 |
| MSC:
|
16U30 |
| idZBL:
|
Zbl 0447.16025 |
| idMR:
|
MR595293 |
| . |
| Date available:
|
2009-09-25T09:09:35Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130418 |
| . |
| Reference:
|
[1] ARENS R., KAPLANSKY I.: Topological repгesentation of algebгas.Trans. Amer. Math. Soc., 63, 1949, 457-481. MR 0025453 |
| Reference:
|
[2] BERGMAN G.: Hereditary commutative rings and centres of hereditary rings.Pгoc. Londoh Math. Soc., 23, 1971, 214-236. Zbl 0219.13018, MR 0309918 |
| Reference:
|
[3] BURGESS W., STEPHENSON W.: Pierce sheaves of non-commutative rings.Communications in Algebra, 4, 1976, 51-75. Zbl 0318.16005, MR 0404320 |
| Reference:
|
[4] DAUNS J., HOFMANN K.: The repгesentation of biregular rings by sheaves.Math. Z., 91. 1966, 103-123. MR 0186693 |
| Reference:
|
[5] DeMEYER F.: Separable polynomials over a commutative ring.Roc. Mtn. J. Math. 2, 1972, 299-310. Zbl 0235.13004, MR 0294321 |
| Reference:
|
[6] GROTHENDIECK A., DIEUDONNE J.: Elements de Geometrie Algebriquue.I.H.E.S. Publications Math. Paris 1960. |
| Reference:
|
[7] HERSTEIN L.: Topics in ring theory.The University of Chicago Pгess, 1969. Zbl 0232.16001, MR 0271135 |
| Reference:
|
[8] KOH K.: On functional representations of a ring without nilpotent elements.Canadian Math. Bull., 14, 1971, 349-352. Zbl 0217.34004, MR 0369440 |
| Reference:
|
[9] LAMBEK J.: On the representation of modules by sheaves of factor modules.Canad. Math. Bull., 14, 1971, 359-368. Zbl 0217.34005, MR 0313324 |
| Reference:
|
[10] MAGID A.: Pierce's representation and separable algebras.Illinois J. Math. 15, 1971, 114-121. Zbl 0204.05904, MR 0272832 |
| Reference:
|
[11] PIERCE R.: Modules over commutative regular rings.Mem. Amer. Math. Soc., 70, 1967. Zbl 0152.02601, MR 0217056 |
| Reference:
|
[12] SZETO G.: On almost hereditaгy rings.J. Algebгa, 34, 1975, 97-104. MR 0422352 |
| Reference:
|
[14] VASCONCELOS W.: Finiteness of projective ideals.J. Algebra, 25, 1973, 269-278. MR 0314828 |
| Reference:
|
[14] VILLAMAYOR O., ZELINSKY D.: Galois theory for rings with infinitely many idempotents.Nagoya J. Math., 55, 1969, 83-98. MR 0244238 |
| . |
