Almost Q -rings

C. Jayaram

Archivum Mathematicum (2004)

  • Volume: 040, Issue: 3, page 249-257
  • ISSN: 0044-8753

Abstract

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In this paper we establish some new characterizations for Q -rings and Noetherian Q -rings.

How to cite

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Jayaram, C.. "Almost $Q$-rings." Archivum Mathematicum 040.3 (2004): 249-257. <http://eudml.org/doc/249282>.

@article{Jayaram2004,
abstract = {In this paper we establish some new characterizations for $Q$-rings and Noetherian $Q$-rings.},
author = {Jayaram, C.},
journal = {Archivum Mathematicum},
keywords = {$Q$-ring; almost $Q$-ring; Noetherian $Q$-ring},
language = {eng},
number = {3},
pages = {249-257},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Almost $Q$-rings},
url = {http://eudml.org/doc/249282},
volume = {040},
year = {2004},
}

TY - JOUR
AU - Jayaram, C.
TI - Almost $Q$-rings
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 3
SP - 249
EP - 257
AB - In this paper we establish some new characterizations for $Q$-rings and Noetherian $Q$-rings.
LA - eng
KW - $Q$-ring; almost $Q$-ring; Noetherian $Q$-ring
UR - http://eudml.org/doc/249282
ER -

References

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  3. Anderson D. D., Noetherian rings in which every ideal is a product of primary ideals, Canad. Math. Bull. 23 (4), (1980), 457–459. (1980) Zbl0445.13006MR0602601
  4. Anderson D. D., Mahaney L. A., Commutative rings in which every ideal is a product of primary ideals, J. Algebra 106 (1987), 528–535. (1987) Zbl0607.13004MR0880975
  5. Anderson D. D., Mahaney L. A., On primary factorizations, J. Pure Appl. Algebra 54 (1988), 141–154. (1988) Zbl0665.13004MR0963540
  6. Becerra L., Johnson J. A., A note on quasi-principal ideals, Tamkang J. Math. (1982), 77–82. (1982) MR0835192
  7. Heinzer W., Ohm J., Locally Noetherian commutative rings, Trans. Amer. Math. Soc. 158 (1971), 273–284. (1971) Zbl0223.13017MR0280472
  8. Heinzer W., Lantz D., The Laskerian property in commutative rings, J. Algebra 72 (1981), 101–114. (1981) Zbl0498.13001MR0634618
  9. Larsen M. D., McCarthy P. J., Multiplicative theory of ideals, Academic Press, New York 1971. (1971) Zbl0237.13002MR0414528
  10. Levitz K. B., A characterization of general ZPI-rings, Proc. Amer. Math. Soc. 32 (1972), 376–380. (1972) MR0294312
  11. McCarthy P. J., Principal elements of lattices of ideals, Proc. Amer. Math. Soc. 30 (1971), 43–45. (1971) Zbl0218.13001MR0279080
  12. Ohm J., Pendleton R. L., Rings with Noetherian spectrum, Duke Math. J. 35 (1968), 631–639. (1968) Zbl0172.32202MR0229627

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