Almost $Q$-rings
Jayaram, C.
Archivum Mathematicum, Tome 040 (2004), p. 249-257 / Harvested from Czech Digital Mathematics Library

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

Publié le : 2004-01-01
Classification:  13A15,  13F20,  13G05
@article{107907,
     author = {C. Jayaram},
     title = {Almost $Q$-rings},
     journal = {Archivum Mathematicum},
     volume = {040},
     year = {2004},
     pages = {249-257},
     zbl = {1112.13004},
     mrnumber = {2107019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107907}
}
Jayaram, C. Almost $Q$-rings. Archivum Mathematicum, Tome 040 (2004) pp. 249-257. http://gdmltest.u-ga.fr/item/107907/

Anderson D. D. Multiplication ideals, Multiplication rings and the ring $R(X)$, Canad. J. Math. XXVIII (1976), 760–768. (1976) | MR 0424794 | Zbl 0343.13009

Anderson D. D. Some remarks on multiplication ideals, Math. Japon. 25 (1980), 463–469. (1980) | MR 0594548 | Zbl 0446.13001

Anderson D. D. Noetherian rings in which every ideal is a product of primary ideals, Canad. Math. Bull. 23 (4), (1980), 457–459. (1980) | MR 0602601 | Zbl 0445.13006

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) | MR 0880975 | Zbl 0607.13004

Anderson D. D.; Mahaney L. A. On primary factorizations, J. Pure Appl. Algebra 54 (1988), 141–154. (1988) | MR 0963540 | Zbl 0665.13004

Becerra L.; Johnson J. A. A note on quasi-principal ideals, Tamkang J. Math. (1982), 77–82. (1982) | MR 0835192

Heinzer W.; Ohm J. Locally Noetherian commutative rings, Trans. Amer. Math. Soc. 158 (1971), 273–284. (1971) | MR 0280472 | Zbl 0223.13017

Heinzer W.; Lantz D. The Laskerian property in commutative rings, J. Algebra 72 (1981), 101–114. (1981) | MR 0634618 | Zbl 0498.13001

Larsen M. D.; Mccarthy P. J. Multiplicative theory of ideals, Academic Press, New York 1971. (1971) | MR 0414528 | Zbl 0237.13002

Levitz K. B. A characterization of general ZPI-rings, Proc. Amer. Math. Soc. 32 (1972), 376–380. (1972) | MR 0294312

Mccarthy P. J. Principal elements of lattices of ideals, Proc. Amer. Math. Soc. 30 (1971), 43–45. (1971) | MR 0279080 | Zbl 0218.13001

Ohm J.; Pendleton R. L. Rings with Noetherian spectrum, Duke Math. J. 35 (1968), 631–639. (1968) | MR 0229627 | Zbl 0172.32202