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The Ring of Fractions of a Jordan Algebra

✍ Scribed by C Martı́nez

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
128 KB
Volume
237
Category
Article
ISSN
0021-8693

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✦ Synopsis

We derive a necessary and sufficient Ore type condition for a Jordan algebra to have a ring of fractions.

📜 SIMILAR VOLUMES

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Using some theorems on composition algebras over rings of genus zero and elementary results from algebraic geometry, all composition algebras over a ring of fractions related to the projective line over a field are enumerated and partly classified.

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Composition Algebras over Rings of Fractions Revisited
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Let k be a field of characteristic not two, let f x , x gk x , x be an h 0 1 0 1 irreducible homogeneous polynomial and denote the ring of elements of degree w x w x zero in the homogeneous localization k x , x by k x , x . For deg f s 3 it 0 1 f 0 1 Žf . h h h w x is proved that the composition alg

Weak*–closed Jordan ideals of nest algeb
Weak*–closed Jordan ideals of nest algebras
✍ Lina Oliveira 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 204 KB

## Abstract Nest algebras provide examples of partial Jordan \*–triples. If __A__ is a nest algebra and __A__~__s__~ = __A__ ∩ A\*, where __A__\* is the set of the adjoints of the operators lying in __A__, then (__A__, __A__~__s__~) forms a partial Jordan \*–triple. Any weak\*–closed ideal in the n