Abstract
For the torsion-free modules over noncommutative principal ideal domains von Staudt's theorem is proved. Moreover, more general (nonbijective) harmonic maps with the classical definition of harmonic quadruple is calculated.
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Harmonic Maps Over Rings
A. Lashkhi1
1Department of Applied Mathematics, Georgian Technical University, 77, Kostava St., Tbilisi 380075, Republic of Georgia
Citation Information: Georgian Mathematical Journal. Volume 4, Issue 1, Pages 41–64, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.1997.41, February 2010
Publication History:
- Received:
- 1993-09-01
- Revised:
- 1996-04-22
- Published Online:
- 2010-02-23
Key words and phrases.: Projective space; harmonic map; collineation
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