Geodesic
On~the structure of locally compact biregular rings
Sbornik. Mathematics, Tome 33 (1977) no. 4, pp. 573-577

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It is established that the results of a previous paper by the author (Mat. Sb. (N.S.), 62(104), 1963, 3–13) are valid only if their statements are modified and conditionally simple rings are considered instead of simple ones. Here a conditionally simple ring is a topological ring which has a discrete maximal ideal. There is given an example of a nondiscrete conditionally simple locally compact biregular ring with identity in which the above discrete maximal ideal is not a direct summand. Bibliography: 13 titles. 
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     author = {L. A. Skornyakov},
     title = {On~the structure of locally compact biregular rings},
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L. A. Skornyakov. On~the structure of locally compact biregular rings. Sbornik. Mathematics, Tome 33 (1977) no. 4, pp. 573-577. http://geodesic.mathdoc.fr/item/SM_1977_33_4_a6/