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ON THE EXISTENCE OF MAXIMAL SUBRINGS IN COMMUTATIVE ARTINIAN RINGS

✍ Scribed by AZARANG, A.; KARAMZADEH, O. A. S.

Book ID
120334744
Publisher
World Scientific Publishing Company
Year
2010
Tongue
English
Weight
173 KB
Volume
09
Category
Article
ISSN
0219-4988

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Let D be a division ring with centre F. Denote by D \* the multiplicative group of D. The relation between valuations on D and maximal subgroups of D \* is investigated. In the ΓΏnite dimensional case, it is shown that F \* has a maximal subgroup if Br(F) is non-trivial provided that the characterist