Document Zbl 0447.13009

The Laskerian property, power series rings and Noetherian spectra. (English) Zbl 0447.13009

Proc. Am. Math. Soc. 79, 13-16 (1980).

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MSC:

13F25	Formal power series rings
13A15	Ideals and multiplicative ideal theory in commutative rings
13E05	Commutative Noetherian rings and modules

Keywords:

Noetherian spectrum; ZD-ring; zero divisors; Laskerian ring; Noetherian ring; power series rings

Citations:

Zbl 0239.13014

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Full Text: DOI

References:

[1]	Jimmy T. Arnold, Robert Gilmer, and William Heinzer, Some countability conditions in a commutative ring, Illinois J. Math. 21 (1977), no. 3, 648 – 665. · Zbl 0392.13009
[2]	N. Bourbaki, Commutative algebra, Addison-Wesley, Reading, Mass., 1972.
[3]	E. Graham Evans Jr., Zero divisors in Noetherian-like rings, Trans. Amer. Math. Soc. 155 (1971), 505 – 512. · Zbl 0216.32603
[4]	William Heinzer and Jack Ohm, On the Noetherian-like rings of E. G. Evans, Proc. Amer. Math. Soc. 34 (1972), 73 – 74. · Zbl 0239.13014
[5]	S. Mori, Über eindeutige Reduktion in Ringen ohne Teilerkettensatz, J. Sci. Hiroshima Univ. Ser. A 3 (1933), 275-318. · JFM 59.0926.03
[6]	Jack Ohm and R. L. Pendleton, Rings with noetherian spectrum, Duke Math. J. 35 (1968), 631 – 639. · Zbl 0172.32201
[7]	Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Company, Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. · Zbl 0081.26501

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