Geodesic
The multiplicative group of a~field and hyperidentities
Izvestiya. Mathematics , Tome 35 (1990) no. 2, pp. 377-391

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The multiplicative group of a field is characterized. By means of a hyperidentity of distributivity, the groups that can be distinguished as the multiplicative group of a field by the hyperidentity of idempotency are characterized. Bibliography: 21 titles. 
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     title = {The multiplicative group of a~field and hyperidentities},
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Yu. M. Movsisyan. The multiplicative group of a~field and hyperidentities. Izvestiya. Mathematics , Tome 35 (1990) no. 2, pp. 377-391. http://geodesic.mathdoc.fr/item/IM2_1990_35_2_a4/