Affiliation:
1. Taras Shevchenko National University of Kyiv
Abstract
Let N be the set of natural numbers. Let F be a field. In [1], we introduced a class of groups SL^p_s (F) and GL^p_s (F) of periodic infinite (N \times N)–matrices that correspond to a Steinitz number s: In this paper we introduce a wider class of diagonal locally SL–groups and GL–groups and study their relations with locally matrix algebras. In particular, we show that every separable–diagonal locally SL–group (respectively GL–group) is isomorphic to a group SL^p_s (F) (respectively GL^p_s (F)).
Publisher
Taras Shevchenko National University of Kyiv
Subject
Medical Assisting and Transcription,Medical Terminology
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