On Artinian and Noetherian projective lattice geometries

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The Hopkins-Levitzky theorem states that Artinian rings are necessarily Noetherian. Under certain conditions results about the opposite implication, namely which Noetherian rings are necessarily Artinian, can be derived. This paper is devoted to a reflection of these problems within the synthetic framework of projective lattice geometry as it has first been established in.
Original languageUndefined/Unknown
Title of host publicationAlgebra and its applications
EditorsD. V. Huynh, S. K. Jain , S. R. López-Permouth
PublisherAmerican Mathematical Society
Number of pages6
ISBN (Electronic)978-0-8218-7849-1
ISBN (Print) 978-0-8218-1950-0
Publication statusPublished - 2000
MoE publication typeB2 Book section

Publication series

NameContemp. Math.
PublisherAmer. Math. Soc., Providence, RI

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