Annales Academię Scientiarum Fennicę
Mathematica
Volumen 32, 2007, 215-222

TOPOLOGICAL LOCALLY FINITE MV-ALGEBRAS AND RIEMANN SURFACES

Paavo Kukkurainen

Lappeenranta University of Technology
P.O. Box 20, 53851 Lappeenranta, Finland; paavo.kukkurainen 'at' lut.fi

Abstract. It is known that any MV-algebra is a topological MV-algebra. For a locally finite MV-algebra $A$ with some algebraic and topological conditions the product A x A becomes a compact Riemann surface (modulo conformal equivalence). Topologically, it is a torus.

2000 Mathematics Subject Classification: Primary 06D35; Secondary 30F10.

Key words: Locally finite MV-algebras, Riemann surfaces, topology.

Reference to this article: P. Kukkurainen: Topological locally finite MV-algebras and Riemann surfaces. Ann. Acad. Sci. Fenn. Math. 32 (2007), 215-222.

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Copyright © 2007 by Academia Scientiarum Fennica