✦ LIBER ✦

Grids and the Arithmetics of Jordan Pairs

✍ Scribed by Holger P. Petersson

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 338 KB
Volume: 213
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7663

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that every 2-finitedimensional covering standard division grid of a Jordan pair V over a Henselian field canonically determines a norm on V. This is used to classify maximal orders which contain a covering division grid of V. We show that weakly separable orders always satisfy this condition and link their existence to ramification properties of V.

📜 SIMILAR VOLUMES

Steinberg Groups and Simplicity of Eleme

Steinberg Groups and Simplicity of Elementary Groups Defined by Jordan Pairs

✍ Ottmar Loos 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 318 KB

From 1 and the structure of ᒄ it is clear that Dᒄ is stable under G, and that G acts trivially on ᒄrDᒄ. Thus y g g Dᒄ 4 Ž . for all g g G.

The Pigeonhole Principle and Fragments o

The Pigeonhole Principle and Fragments of Arithmetic

✍ C. Dimitracopoulos; J. Paris 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 380 KB 👁 1 views

The reliability of repertory grids

✍ C. E. Gathercole; E. Bromley; J. B. Ashcroft 📂 Article 📅 1970 🏛 John Wiley and Sons 🌐 English ⚖ 325 KB

Two personality inventories, the 16 PF and the MCI, were compared in terms of their ability to discriminate among the subgroups of inmates at the Wisconsin State Reformatory at Green Bay showing important dflerences in background factors and in various indices of adjustment. The results favored the

Update Procedures and the 1-Consistency

Update Procedures and the 1-Consistency of Arithmetic

✍ Jeremy Avigad 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 185 KB 👁 1 views

Combinatorial Isols and the Arithmetic o

Combinatorial Isols and the Arithmetic of Dekker Semirings

✍ Thomas G. McLaughlin 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 295 KB

In his long and illuminating paper Joe Barback defined and showed to be non-vacuous a class of infinite regressive isols he has termed "completely torre" (CT) isols. These particular isols all enjoy a property that Barback has since labelled combinatoriality. In , he provides a list of properties c

Genus Characters and the Arithmetic of C

Genus Characters and the Arithmetic of Commutative Monoids

✍ David H. Johnson; Clifford S. Queen 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 410 KB

In this paper we develop an ideal theory for certain submonoids of the nonzero integers. We associate one of these monoids to each quadratic number field and show that the genus theory of ideals and genus characters of the number field are virtually the same as the ideal theory and the characters of