Unique factorization in non-atomic integral domains

D. D. Anderson; J. L. Mott; M. Zafrullah

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 2, page 341-352
  • ISSN: 0392-4041

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Anderson, D. D., Mott, J. L., and Zafrullah, M.. "Unique factorization in non-atomic integral domains." Bollettino dell'Unione Matematica Italiana 2-B.2 (1999): 341-352. <http://eudml.org/doc/195068>.

@article{Anderson1999,
author = {Anderson, D. D., Mott, J. L., Zafrullah, M.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {unique factorization; integral domains},
language = {eng},
month = {6},
number = {2},
pages = {341-352},
publisher = {Unione Matematica Italiana},
title = {Unique factorization in non-atomic integral domains},
url = {http://eudml.org/doc/195068},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Anderson, D. D.
AU - Mott, J. L.
AU - Zafrullah, M.
TI - Unique factorization in non-atomic integral domains
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/6//
PB - Unione Matematica Italiana
VL - 2-B
IS - 2
SP - 341
EP - 352
LA - eng
KW - unique factorization; integral domains
UR - http://eudml.org/doc/195068
ER -

References

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  2. ANDERSON, D. D.- ANDERSON, D. F.- ZAFRULLAH, M., Factorization in integral domains, J. Pure Appl. Algebra, 69 (1990), 1-19. Zbl0727.13007MR1082441
  3. ANDERSON, D. D.- ANDERSON, D. F.- ZAFRULLAH, M., Atomic domains in which almost all atoms are prime, Comm. Algebra, 20 (1992), 1447-1462. Zbl0749.13012MR1157917
  4. ANDERSON, D. D.- ANDERSON, D. F.- ZAFRULLAH, M., A generalization of unique factorization, Boll. Un. Mat. Ital. A (7), 9 (1995), 401-413. Zbl0919.13001MR1336246
  5. ANDERSON, D. D.- MAHANEY, L. A., On primary factorizations, J. Pure Appl. Algebra, 54 (1988), 141-154. Zbl0665.13004MR963540
  6. ANDERSON, D. D.- MOTT, J. L.- ZAFRULLAH, M., Finite character representations for integral domains, Boll. Un. Mat. Ital. B (7), 6 (1992), 613-630. Zbl0773.13004MR1191956
  7. ANDERSON, D. D.- ZAFRULLAH, M., On a theorem of Kaplansky, Boll. Un. Mat. Ital. A (7), 8 (1994), 397-402. Zbl0816.13001MR1302964
  8. ANDERSON, D. D.- ZAFRULLAH, M., P. M. Cohn's completely primal elements, in Zero Dimensional Commutative Rings (D. F. Anderson and D. E. Dobbs, eds.), Lecture Notes in Pure and Applied Mathematics, vol. 171, Marcel Dekker, Inc., New York (1995), pp. 115-123. Zbl0887.13012MR1335708
  9. COHN, P. M., Bezout rings and their subrings, Proc. Cambridge Philos. Soc., 64 (1968), 251-264. Zbl0157.08401MR222065
  10. GABELLI, S., On divisorial ideals in polynomial rings over Mori domains, Comm. Algebra, 15 (1987), 2349-2370. Zbl0642.13017MR912775
  11. GILMER, R., Multiplicative Ideal Theory, Marcel Dekker, New York (1972). Zbl0248.13001MR427289
  12. KAPLANSKY, I., Commutative Rings, revised edition, The University of Chicago Press, Chicago and London (1974). Zbl0296.13001MR345945
  13. ZAFRULLAH, M., Semirigid GCD domains, Manuscripta Math., 17 (1975), 55-66. Zbl0318.13022MR414529
  14. ZAFRULLAH, M., Rigid elements in GCD domains, J. Natur. Sci. Math., 17 (1977), 7-14. Zbl0485.13005MR596482
  15. ZAFRULLAH, M., Unique representation domains, J. Natur. Sci. Math., 18 (1978), 19-29. Zbl0516.13017MR596756
  16. ZAFRULLAH, M., On a property of pre-Schreier domains, Comm. Algebra, 15 (1987), 1895-1920. Zbl0634.13004MR898300
  17. ZAFRULLAH, M., The D + x ⁢ D ⁢ S ⁢ x construction from GCD-domains, J. Pure Appl. Algebra, 50 (1988), 93-107. Zbl0656.13020MR931909

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