NDLI: Hilbert's function in a semi-lattice

Content Provider	Scilit
Author	Learner, A.
Copyright Year	1959
Description	Samuel (1) introduced a generalized Hilbert function, written Xq(r, a) and defined for arbitrary ideals a in a local ring Q with maximal ideai m. where q is m-primary.Northcott(2) proved that for a homogeneous ideal ã in a polynomial ring $A[X_{1}$, …, $X_{n}$], where A = Q/q, this is equal to the ordinary Hilbert function χ(r, ã).
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7BB5C661D387F8748095DB65D2EFC3E0/S0305004100033958a.pdf/div-class-title-hilbert-s-function-in-a-semi-lattice-div.pdf
Ending Page	243
Page Count	5
Starting Page	239
ISSN	03050041
e-ISSN	14698064
DOI	10.1017/s0305004100033958
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Issue Number	3
Volume Number	55
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1959-07-01
Access Restriction	Open
Subject Keyword	Mathematical Proceedings of the Cambridge Philosophical Society Condensed Matter Physics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Hilbert's function in a semi-lattice