Pseudo-valuation rings. II

David F. Anderson; Ayman Badawi; David E. Dobbs

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 2, page 535-545
  • ISSN: 0392-4041

How to cite

top

Anderson, David F., Badawi, Ayman, and Dobbs, David E.. "Pseudo-valuation rings. II." Bollettino dell'Unione Matematica Italiana 3-B.2 (2000): 535-545. <http://eudml.org/doc/195250>.

@article{Anderson2000,
author = {Anderson, David F., Badawi, Ayman, Dobbs, David E.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {strongly prime ideal; pseudo-valuation ring; zero-divisors},
language = {eng},
month = {6},
number = {2},
pages = {535-545},
publisher = {Unione Matematica Italiana},
title = {Pseudo-valuation rings. II},
url = {http://eudml.org/doc/195250},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Anderson, David F.
AU - Badawi, Ayman
AU - Dobbs, David E.
TI - Pseudo-valuation rings. II
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/6//
PB - Unione Matematica Italiana
VL - 3-B
IS - 2
SP - 535
EP - 545
LA - eng
KW - strongly prime ideal; pseudo-valuation ring; zero-divisors
UR - http://eudml.org/doc/195250
ER -

References

top
  1. ANDERSON, D. F., Comparability of ideals and valuation overrings, Houston J. Math., 5 (1979), 451-463. Zbl0407.13001MR567906
  2. ANDERSON, D. F., When the dual of an ideal is a ring, Houston J. Math., 9 (1983), 325-332. Zbl0526.13015MR719090
  3. ANDERSON, D. F.- DOBBS, D. E., Pairs of rings with the same prime ideals, Can. J. Math., 32 (1980), 362-384. Zbl0406.13001MR571931
  4. BADAWI, A., A visit to valuation and pseudo-valuation domains, Lecture Notes Pure Appl. Math., vol. 171, 151-161, Marcel Dekker, New York/Basel, 1995. Zbl0885.13015MR1335711
  5. BADAWI, A., On domains which have prime ideals that are linearly ordered, Comm. Algebra, 23 (1995), 4365-4373. Zbl0843.13007MR1352538
  6. BADAWI, A.- ANDERSON, D. F.- DOBBS, D. E., Pseudo-valuation rings, Lecture Notes Pure Appl. Math., vol. 185, 57-67, Marcel Dekker, New York/Basel, 1997. Zbl0880.13011MR1422466
  7. DOBBS, D. E., Coherence, ascent of going-down and pseudo-valuation domains, Houston J. Math., 4 (1978), 551-567. Zbl0388.13002MR523613
  8. DOBBS, D. E.- FONTANA, M.- HUCKABA, J. A.- PAPICK, I. J., Strong ring extensions and pseudo-valuation domains, Houston J. Math., 8 (1982), 167-184. Zbl0503.13001MR674035
  9. FONTANA, M., Topologically defined classes of commutative rings, Ann. Mat. Pura Appl., 123 (1980), 331-355. Zbl0443.13001MR581935
  10. HEDSTROM, J. R.- HOUSTON, E. G., Pseudo-valuation domains, Pac. J. Math., 75 (1978), 137-147. Zbl0368.13002MR485811
  11. HEDSTROM, J. R.- HOUSTON, E. G., Pseudo-valuation domains, II, Houston J. Math.4 (1978), 199-207. Zbl0416.13014MR485812
  12. KAPLANSKY, I., Commutative Rings, rev. ed., Univ. Chicago Press, Chicago, 1974. Zbl0296.13001MR345945
  13. LEWIS, W. J., The spectrum of a ring as a partially ordered set, J. Algebra, 25 (1973), 419-434. Zbl0266.13010MR314811

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.