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MR1712745 (2000m:37005) 37A20 (28D15 37B05 37C85)
Starkov, A. N. The first cohomology group, mixing, and minimal sets of the commutative group of algebraic actions on a torus. Dynamical systems. 7. J. Math. Sci. (New York) 95 (1999), no. 5, 2576–2582.
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