The p. p. ring and the Pierce sheaf representation of non-commutative rings
Mathematica Slovaca (1980)
- Volume: 30, Issue: 4, page 337-343
- ISSN: 0139-9918
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top- ARENS R., KAPLANSKY I., Topological repгesentation of algebгas, Trans. Amer. Math. Soc., 63, 1949, 457-481. (1949) MR0025453
- BERGMAN G., Hereditary commutative rings and centres of hereditary rings, Pгoc. Londoh Math. Soc., 23, 1971, 214-236. (1971) Zbl0219.13018MR0309918
- BURGESS W., STEPHENSON W., Pierce sheaves of non-commutative rings, Communications in Algebra, 4, 1976, 51-75. (1976) Zbl0318.16005MR0404320
- DAUNS J., HOFMANN K., The repгesentation of biregular rings by sheaves, Math. Z., 91. 1966, 103-123. (1966) MR0186693
- DeMEYER F., Separable polynomials over a commutative ring, Roc. Mtn. J. Math. 2, 1972, 299-310. (1972) Zbl0235.13004MR0294321
- GROTHENDIECK A., DIEUDONNE J., Elements de Geometrie Algebriquue, I.H.E.S. Publications Math. Paris 1960. (1960)
- HERSTEIN L., Topics in ring theory, The University of Chicago Pгess, 1969. (1969) Zbl0232.16001MR0271135
- KOH K., On functional representations of a ring without nilpotent elements, Canadian Math. Bull., 14, 1971, 349-352. (1971) Zbl0217.34004MR0369440
- LAMBEK J., On the representation of modules by sheaves of factor modules, Canad. Math. Bull., 14, 1971, 359-368. (1971) Zbl0217.34005MR0313324
- MAGID A., Pierce's representation and separable algebras, Illinois J. Math. 15, 1971, 114-121. (1971) Zbl0204.05904MR0272832
- PIERCE R., Modules over commutative regular rings, Mem. Amer. Math. Soc., 70, 1967. (1967) Zbl0152.02601MR0217056
- SZETO G., On almost hereditaгy rings, J. Algebгa, 34, 1975, 97-104. (1975) MR0422352
- VASCONCELOS W., Finiteness of projective ideals, J. Algebra, 25, 1973, 269-278. (1973) MR0314828
- VILLAMAYOR O., ZELINSKY D., Galois theory for rings with infinitely many idempotents, Nagoya J. Math., 55, 1969, 83-98. (1969) MR0244238