Quotient Overrings

Hans H. Storrer

Publications du Département de mathématiques (Lyon) (1973)

  • Volume: 10, Issue: 1, page 25-37
  • ISSN: 0076-1656

How to cite

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Storrer, Hans H.. "Quotient Overrings." Publications du Département de mathématiques (Lyon) 10.1 (1973): 25-37. <http://eudml.org/doc/273404>.

@article{Storrer1973,
author = {Storrer, Hans H.},
journal = {Publications du Département de mathématiques (Lyon)},
language = {eng},
number = {1},
pages = {25-37},
publisher = {Université Claude Bernard - Lyon 1},
title = {Quotient Overrings},
url = {http://eudml.org/doc/273404},
volume = {10},
year = {1973},
}

TY - JOUR
AU - Storrer, Hans H.
TI - Quotient Overrings
JO - Publications du Département de mathématiques (Lyon)
PY - 1973
PB - Université Claude Bernard - Lyon 1
VL - 10
IS - 1
SP - 25
EP - 37
LA - eng
UR - http://eudml.org/doc/273404
ER -

References

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  1. [1] Bourbaki N., Algèbre commutative, chap. I et II. Paris, Hermann, 1961. Zbl0119.03603
  2. [2] H.S. Butts, and C.G. Spaht, Generalized quotient rings, Math. Nachr.53, p. 181-210, 1972. Zbl0242.13014MR384773
  3. [3] P.M. Cohn, Morita equivalence and duality, Queen Mary College Lecture Notes. Zbl0377.16015
  4. [4] G.D. Findlay and J. Lambek, A generalized ring of quotients, I, II, Canad. Math. Bull.1, 1958, p. 77-85. 155-167. Zbl0085.26103MR94370
  5. [5] R. Gilmer and W. Heinzer, Intersections of quotient rings of an integral domain, J. Math. Kyoto Univ.7, p. 133-150, 1967. Zbl0166.30601MR223349
  6. [6] R. Gilmer and J. Ohm, Integral domains with quotient overrings. Math. Ann. 153, 97-103, 1964. Zbl0128.26004MR159835
  7. [7] W. Heinzer, Quotient overrings of integral domains, Mathematika17, 139-148, 1970. Zbl0201.37202MR265334
  8. [8] W. Heinzer, J. Ohm and R. Pendleton, On integral domains of the form ∩ D P , P minimal. J. Reine ang. Math.241, 147-159, 1970. Zbl0191.32202MR263793
  9. [9] J. Kuzmanovich, Localizations of Dedekind prime rings. J. Algebra21, 378-393, 1972. Zbl0236.16002MR311698
  10. [10] J. Lambek, Lectures on rings and modules, Waltham, Blaisdell1966. Zbl0143.26403MR206032
  11. [11] J. Lambek, Torsion theories, additive semantics and rings of quotients, Lecture Notes in Mathematics, vol. 177, Berlin, Heidelberg, New-York : Springer1971. Zbl0213.31601MR284459
  12. [12] M.D. Larsen, and P.J. McCarty, Multiplicative ideal theory, New-York, London Academic Press1971. Zbl0237.13002
  13. [13] J. Raynaud, Sur la théorie de la localisation, Thèse, Univ. C. Bernard, Lyon I1971. 
  14. [14] B. Stenstrom, Rings and modules of quotients, Lecture Notes in Mathematics, vol. 236, Berlin, Heidelberg, New-York : Springer1971. Zbl0229.16003MR325663
  15. [15] H.H. Storrer, Epimorphismen von kommutativen Ringen, Comment. Math. Helv. 43, 378-401, 1968. Zbl0165.05301MR242810
  16. [16] H.H. Storrer, A characterization of Prüfer domains, Canad. Math. Bull.12, 809-812, 1969. Zbl0185.28401MR254025
  17. [17] H.H. Storrer, Rings of quotients of perfect rings, Math. Z.122, 151-165, 1971. Zbl0214.05302MR299636
  18. [18] Y. Utumi, On quotient rings, Osaka Math. J.8, 1-18, 1956. Zbl0070.26601MR78966
  19. [19] C.L. Walker and E.A. Walker, Quotient categories and rings of quotients, Rocky Mountain, J. Math.2, 513-555, 1972. Zbl0276.16007MR338045

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