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Coverings and Ring-Groupoids

Coverings and Ring-Groupoids We prove that the set of homotopy classes of the paths in a topological ring is a ring object (called ring groupoid). Using this concept we show that the ring structure of a topological ring lifts to a simply connected covering space. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal Springer Journals

Coverings and Ring-Groupoids

Georgian Mathematical Journal , Volume 5 (5) – Oct 4, 2004

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References (4)

Publisher
Springer Journals
Copyright
Copyright © 1998 by Plenum Publishing Corporation
Subject
Mathematics; Mathematics, general
ISSN
1072-947X
eISSN
1572-9176
DOI
10.1023/B:GEOR.0000008118.11447.b2
Publisher site
See Article on Publisher Site

Abstract

We prove that the set of homotopy classes of the paths in a topological ring is a ring object (called ring groupoid). Using this concept we show that the ring structure of a topological ring lifts to a simply connected covering space.

Journal

Georgian Mathematical JournalSpringer Journals

Published: Oct 4, 2004

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