Vector Lattices on a Set of Two Generators |
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Authors: | N V Bayanova N Ya Medvedev |
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Institution: | (1) Guschina 185-48, Barnaul, 656063, Russia;(2) Gorno-Altayskaya 21-100, Barnaul, 656010, Russia |
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Abstract: | It is proved that the center of an automorphism group Aut(FVL2) of a free vector lattice FVL2 on a set of two free generators is isomorphic to a multiplicative group of positive reals. It is shown that the free vector lattice FVL2 has an isomorphic representation by continuous piecewise linear functions of the real line; as a consequence, the ideal lattice and the root system for rectifying ideals in FVL2 are amply described. Similar results are obtained for a free vector lattice FVL2
Q
2 generated by two elements over a field of rational numbers. |
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Keywords: | free vector lattice center of an automorphism group ideal lattice root system |
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