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Finitary Automorphism Groups Over Non‐Commutative Rings
Author(s) -
Wehrfritz B. A. F.
Publication year - 2001
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610701002605
Subject(s) - finitary , automorphism , mathematics , noncommutative ring , noetherian , pure mathematics , ring (chemistry) , division ring , group (periodic table) , commutative property , inner automorphism , group ring , commutative ring , skew , division (mathematics) , discrete mathematics , algebra over a field , automorphism group , computer science , arithmetic , physics , chemistry , organic chemistry , quantum mechanics , telecommunications
The notion of a group of finitary automorphisms of an arbitrary module over an arbitrary ring is introduced, and it is shown how properties of such groups can be derived from the case where the ring is a division ring (that is, from the properties of finitary skew linear groups). The results are particularly strong if either the group is locally finite or the module is Noetherian.