Geodesic
The Kaplan extension of the ring and Banach algebra of continuous functions as a~divisible hull
Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 477-493

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The new algebraic structure of $c$-rings and $c$-algebras with a refinement is introduced, and on its basis the concept of a divisible hull of graduated type. These concepts are used to obtain a ring and Banach algebra characterization of the universally measurable extension $C\rightarrowtail UM$ as a certain type of divisible hull of the ring and Banach algebra $C$ of all bounded continuous functions on an Aleksandrov space (Theorem 1). For purposes of comparison a description of the Arens second dual extension $C\rightarrowtail C''$ is given without proof (Theorem 2). 
@article{IM2_1995_45_3_a1,
     author = {V. K. Zakharov},
     title = {The {Kaplan} extension of the ring and {Banach} algebra of continuous functions as a~divisible hull},
     journal = {Izvestiya. Mathematics },
     pages = {477--493},
     publisher = {mathdoc},
     volume = {45},
     number = {3},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_45_3_a1/}
}
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V. K. Zakharov. The Kaplan extension of the ring and Banach algebra of continuous functions as a~divisible hull. Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 477-493. http://geodesic.mathdoc.fr/item/IM2_1995_45_3_a1/