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A boolean transfer principle from L*-Algebras to AL*-Algebras

✍ Scribed by Hirokazu Nishimura

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
614 KB
Volume
39
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

Just as Kaplansky [4] has introduced the notion of an AW*‐module as a generalization of a complex Hilbert space, we introduce the notion of an AL*‐algebra, which is a generalization of that of an L*‐algebra invented by Schue [9, 10]. By using Boolean valued methods developed by Ozawa [6–8], Takeuti [11–13] and others, we establish its basic properties including a fundamental structure theorem. This paper should be regarded as a continuation or our previous paper [5], the familiarity with which is presupposed. MSC: 03C90, 03E40, 17B65, 46L10.

πŸ“œ SIMILAR VOLUMES

Van der Warden, B. L. A History of Algeb
Van der Warden, B. L. A History of Algebra from al - Khwarzmi to Emmy Noether. Springer-Verlag, Berlin - Heidelberg - New York - Tokyo 1985, VI, 271 S., 28 Abb., DM 98,-
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Die vorliegende ,,Geschichte der -4lgebra" ist Bestandteil eines umfassenden Projekts. In einem friiheren Band niit dem Titel ,,Geometry and Algebra in Ancient Civilations" hat der Verfasser die Vorgeechichte der Algebra und Geometrie vom Neolithikum bis zu Brahmagupta (7. Jahrhundert v. u. Z.) darg