Geodesic
Additive and multiplicative decompositions in multidimensional local fields
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 186-196

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The paper is a continuation of a previous authors' paper on topology of higher local fields. A useful class of systems of topological generators for the additive and multiplicative groups is described here. 
@article{ZNSL_2000_272_a9,
     author = {I. B. Zhukov and A. I. Madunts},
     title = {Additive and multiplicative decompositions in multidimensional local fields},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {186--196},
     publisher = {mathdoc},
     volume = {272},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a9/}
}
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I. B. Zhukov; A. I. Madunts. Additive and multiplicative decompositions in multidimensional local fields. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 186-196. http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a9/