𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On flexible quadratic algebras

✍ Scribed by S. Pumplün

Publisher
Akadmiai Kiad
Year
2008
Tongue
English
Weight
702 KB
Volume
119
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Real quadratic flexible division algebra
Real quadratic flexible division algebras
✍ J.A. Cuenca Mira; R. De Los Santos Villodres; A. Kaidi; A. Rochdi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 886 KB

In this paper we give a new process called vectorial isotopy, in order to classify the eight-dimensional real quadratic flexible division algebras, and we solve the isomorphism problem.

Separable free quadratic algebras over q
Separable free quadratic algebras over quadratic integers
✍ J. Browkin; J. Brzeziński 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 198 KB

The aim of the paper is to determine all free separable quadratic algebras over the rings of integers of quadratic fields in terms of the properties of the fundamental unit in the real case. The paper corrects some earlier published results on the subject.

On the Variety Determined by Symmetric Q
On the Variety Determined by Symmetric Quadratic Algebras
✍ Irvin Roy Hentzel; Luiz Antonio Peresi; Osmar Francisco Giuliani 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 92 KB

We consider some polynomial identities of degree ≤ 5 which are satisfied by all symmetric quadratic algebras. We call rings satisfying these identities generalized quadratic rings, or GQ-rings. We show that when the ring is not flexible, these identities are enough to make the ring quadratic over it