The S -transform and its dual with applications to Prüfer extensions

Christopher P. L. Rhodes

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 95, page 201-216
  • ISSN: 0041-8994

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Rhodes, Christopher P. L.. "The $S$-transform and its dual with applications to Prüfer extensions." Rendiconti del Seminario Matematico della Università di Padova 95 (1996): 201-216. <http://eudml.org/doc/108392>.

@article{Rhodes1996,
author = {Rhodes, Christopher P. L.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {localisation; maximal -ideal; standard ideal transform; Prüfer ring},
language = {eng},
pages = {201-216},
publisher = {Seminario Matematico of the University of Padua},
title = {The $S$-transform and its dual with applications to Prüfer extensions},
url = {http://eudml.org/doc/108392},
volume = {95},
year = {1996},
}

TY - JOUR
AU - Rhodes, Christopher P. L.
TI - The $S$-transform and its dual with applications to Prüfer extensions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 95
SP - 201
EP - 216
LA - eng
KW - localisation; maximal -ideal; standard ideal transform; Prüfer ring
UR - http://eudml.org/doc/108392
ER -

References

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  2. [2] J.T. Arnold - J.W. Brewer, On flat overrings, ideal transforms and generalized transforms of a commutative ring, J. Algebra, 18 (1971), pp. 254-263. Zbl0218.13019MR276215
  3. [3] J.W. Brewer, The ideal transform and overrings of an integral domain, Math. Z., 107 (1968), pp. 301-306. Zbl0167.03601MR236158
  4. [4] R.W. Gilmer, Overrings of Prüfer domains, J. Algebra, 4 (1966), pp. 331-340. Zbl0146.26205MR202749
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  11. [11] J.A. Huckaba, Commutative Rings with Zero Divisors, Marcel Dekker, New York and Basel (1988). Zbl0637.13001MR938741
  12. [12] J.A. Huckaba - I.J. Papick, When the dual of an ideal is a ring, Manuscripta Math., 37 (1982), pp. 67-85. Zbl0484.13001MR649566
  13. [13] I. Kaplansky, Commutative Rings, Polygonal Publishing House, Washington, New Jersey (1994). 
  14. [14] R. Matsuda, Generalizations of multiplicative ideal theory to commutative rings with zerodivisors, Bull. Fac. Sci. Ibaraki U., Ser. A Math., 17 (1985), pp. 49-101. Zbl0573.13003MR796348
  15. [15] M. Nagata, A treatise on the 14-th problem of Hilbert, Mem. Coll. Sci. Univ. Kyoto, 30 (1956), pp. 57-70. Zbl0089.02501MR88034
  16. [16] M. Nagata, Some sufficient conditions for the fourteenth problem of Hilbert, Actas Del Coloquio Internac. Sobre Geometria Algebraica (1965), pp. 107-121. Zbl0142.28701MR199215
  17. [17] C.P.L. Rhodes, On valuation subalgebras and their centres, Glasgow Math. J., 31 (1989), pp. 115-126. Zbl0668.13015MR981905
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  19. [19] P. Schenzel, When is a flact algebra of finite type ?, Proc. Amer. Math. Soc., 109 (1990), pp. 287-290. Zbl0711.13004MR1000168

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