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Damiano, Robert F.

A right PCI ring is right Noetherian. (English) Zbl 0425.16022

Proc. Am. Math. Soc. 77, 11-14 (1979).
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Cited in 1 Review
Cited in 23 Documents

MSC:

16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16D50 Injective modules, self-injective associative rings
16P40 Noetherian rings and modules (associative rings and algebras)

Keywords:

right PCI ring; cyclic right modules; simple, right semi-hereditary, right Ore domain

Citations:

Zbl 0169.356
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Full Text: DOI

References:

[1] John Cozzens and Carl Faith, Simple Noetherian rings, Cambridge University Press, Cambridge-New York-Melbourne, 1975. Cambridge Tracts in Mathematics, No. 69. · Zbl 0314.16001
[2] Lawrence Levy, Torsion-free and divisible modules over non-integral-domains, Canad. J. Math. 15 (1963), 132 – 151. · Zbl 0108.04001 · doi:10.4153/CJM-1963-016-1
[3] B. L. Osofsky, Noninjective cyclic modules, Proc. Amer. Math. Soc. 19 (1968), 1383 – 1384. · Zbl 0169.35602
[4] Bo Stenström, Rings of quotients, Springer-Verlag, New York-Heidelberg, 1975. Die Grundlehren der Mathematischen Wissenschaften, Band 217; An introduction to methods of ring theory. · Zbl 0296.16001
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