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Rings of Order p5 Part II. Local Rings

✍ Scribed by B. Corbas; G.D. Williams

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
115 KB
Volume
231
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

Rings of Order p5 Part I. Nonlocal Rings
Rings of Order p5 Part I. Nonlocal Rings
✍ B. Corbas; G.D. Williams πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 121 KB

In this paper and its sequel, the structure and classification up to isomorphism of all finite rings of order p 5 are determined. The theory of semiperfect rings is here applied to deal with the nonlocal rings of this order. In Part II we shall treat the local rings.

Valuation ideals of order two in 2-dimen
Valuation ideals of order two in 2-dimensional regular local rings
✍ Sunsook Noh πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 233 KB

## Abstract Let __K__ be the quotient field of a 2‐dimensional regular local ring (__R, m__) and let __v__ be a prime divisor of __R__, i.e., a valuation of __K__ birationally dominating __R__ which is residually transcendental over __R__. Zariski showed that: such prime divisor __v__ is uniquely a

New Invariants of Noetherian Local Rings
New Invariants of Noetherian Local Rings
✍ Jee Koh; Kisuk Lee πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 158 KB

We investigate properties of certain invariants of Noetherian local rings, including their behavior under flat local homomorphisms. We show that these invariants are bounded by the multiplicity for Cohen-Macaulay local rings with infinite residue fields, and they all agree with the multiplicity when

Generalized biideals of rings. II
Generalized biideals of rings. II
✍ Ferenc A. SzΓ‘sz πŸ“‚ Article πŸ“… 1970 πŸ› John Wiley and Sons 🌐 English βš– 196 KB