Two notes on homogeneous prime ideals in graded Noetherian rings.

DOI10.1016/S0021-8693(03)00102-9zbMath1074.13500MaRDI QIDQ1398150

David E. Rush, Louis J. jun. Ratliff

Publication date: 29 July 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

analytic spreadaltitude formulaRees ringgraded noetherian ring

Mathematics Subject Classification ID

Graded rings (13A02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (3)

\(Gr\)-injective modules and \(gr\)-projective modules over \(G\)-graded commutative rings ⋮ Structural theorem for gr-injective modules over gr-noetherian G-graded commutative rings and local cohomology functors ⋮ Note on Cyclotomic Polynomials and Prime Ideals

Cites Work

• On the prime divisors of zero in form rings
• Notes on essentially powers filtrations
• A note on form rings and ideals
• H-Semilocal Domains and Altitude R[ c/b ]
• Note on analytic spread and asymptotic sequences
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
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