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2012f.00773 Boccuto, Antonio Dimitriou Xenofon Ideal exhaustiveness and limit theorems for $(\ell)$ group valued measures. \v{S}ediv\'y, Ondrej (ed.) et al., Zborn{\'\i}k vedeck\'ych pr{\'\i}spevkov z IX. nitrianskej matematickej konferencie. Nitra: Constantine The Philosopher University in Nitra, Faculty of Natural Sciences (ISBN 978-80-8094-958-7). Pr{\'\i}rodovedec 476, 65-70 (2011). 2011 Nitra: Constantine The Philosopher University in Nitra, Faculty of Natural Sciences EN H40 ideals ideal order convergence ideal exhaustiveness limit theorem

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We present some results about existence and ($\sigma$)-additivity of suitable limit measures, taking values in $(\ell)$-groups, in the setting of ideal convergence. We use the concept of ideal exhaustiveness and extend earlier results in the real case. Marta Vr\'{a}belov\'{a}(Nitra)