author = "Gutman A.E. and Sotnikov A.I.",

title = "On order complete sigma-algebras",

journal = "Sci. Proc. TyvSU. Kyzyl: TyvSU",

year = "2003",

volume = "1",

pages = "83--86",

language = "russian",

annote = "A criterion is obtained for existence of a $\sigma$-algebra $\Sigma$ of subsets of a given set $X$ such that $\Sigma$ is order complete and atomic, but is not discrete, i.e., $\Sigma$ does not coincide with the totality of the unions of various subsets of some partition of $X$."